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Public Types | Public Member Functions | Static Public Member Functions | Protected Types | Protected Member Functions | Static Protected Member Functions | Protected Attributes | Static Protected Attributes | Private Member Functions | Static Private Attributes | Friends | List of all members
libMesh::InfFE< Dim, T_radial, T_map > Class Template Reference

A specific instantiation of the FEBase class. More...

#include <inf_fe.h>

Inheritance diagram for libMesh::InfFE< Dim, T_radial, T_map >:
[legend]

Public Types

typedef OutputType OutputShape
 Convenient typedefs for gradients of output, hessians of output, and potentially-complex-valued versions of same.
 
typedef TensorTools::IncrementRank< OutputShape >::type OutputGradient
 
typedef TensorTools::IncrementRank< OutputGradient >::type OutputTensor
 
typedef TensorTools::DecrementRank< OutputShape >::type OutputDivergence
 
typedef TensorTools::MakeNumber< OutputShape >::type OutputNumber
 
typedef TensorTools::IncrementRank< OutputNumber >::type OutputNumberGradient
 
typedef TensorTools::IncrementRank< OutputNumberGradient >::type OutputNumberTensor
 
typedef TensorTools::DecrementRank< OutputNumber >::type OutputNumberDivergence
 

Public Member Functions

 InfFE (const FEType &fet)
 Constructor and empty destructor.
 
 ~InfFE ()=default
 
virtual FEContinuity get_continuity () const override
 
virtual bool is_hierarchic () const override
 
virtual void reinit (const Elem *elem, const std::vector< Point > *const pts=nullptr, const std::vector< Real > *const weights=nullptr) override
 This is at the core of this class.
 
virtual void reinit (const Elem *inf_elem, const unsigned int s, const Real tolerance=TOLERANCE, const std::vector< Point > *const pts=nullptr, const std::vector< Real > *const weights=nullptr) override
 Reinitializes all the physical element-dependent data based on the side of an infinite element.
 
virtual void edge_reinit (const Elem *elem, const unsigned int edge, const Real tolerance=TOLERANCE, const std::vector< Point > *const pts=nullptr, const std::vector< Real > *const weights=nullptr) override
 Not implemented yet.
 
virtual void side_map (const Elem *, const Elem *, const unsigned int, const std::vector< Point > &, std::vector< Point > &) override
 Computes the reference space quadrature points on the side of an element based on the side quadrature points.
 
virtual void attach_quadrature_rule (QBase *q) override
 The use of quadrature rules with the InfFE class is somewhat different from the approach of the FE class.
 
virtual unsigned int n_shape_functions () const override
 
virtual unsigned int n_quadrature_points () const override
 
virtual const std::vector< Point > & get_xyz () const override
 
virtual const std::vector< Real > & get_JxW () const override
 
virtual const std::vector< Real > & get_JxWxdecay_sq () const override
 
virtual const std::vector< std::vector< OutputShape > > & get_phi_over_decayxR () const override
 
virtual const std::vector< std::vector< OutputGradient > > & get_dphi_over_decayxR () const override
 
virtual const std::vector< std::vector< OutputGradient > > & get_dphi_over_decay () const override
 
virtual const std::vector< RealGradient > & get_dxyzdxi () const override
 
virtual const std::vector< RealGradient > & get_dxyzdeta () const override
 
virtual const std::vector< RealGradient > & get_dxyzdzeta () const override
 
virtual const std::vector< RealGradient > & get_d2xyzdxi2 () const override
 
virtual const std::vector< RealGradient > & get_d2xyzdeta2 () const override
 
virtual const std::vector< RealGradient > & get_d2xyzdzeta2 () const override
 
virtual const std::vector< RealGradient > & get_d2xyzdxideta () const override
 
virtual const std::vector< RealGradient > & get_d2xyzdxidzeta () const override
 
virtual const std::vector< RealGradient > & get_d2xyzdetadzeta () const override
 
virtual const std::vector< Real > & get_dxidx () const override
 
virtual const std::vector< Real > & get_dxidy () const override
 
virtual const std::vector< Real > & get_dxidz () const override
 
virtual const std::vector< Real > & get_detadx () const override
 
virtual const std::vector< Real > & get_detady () const override
 
virtual const std::vector< Real > & get_detadz () const override
 
virtual const std::vector< Real > & get_dzetadx () const override
 
virtual const std::vector< Real > & get_dzetady () const override
 
virtual const std::vector< Real > & get_dzetadz () const override
 
virtual const std::vector< Real > & get_Sobolev_weight () const override
 
virtual const std::vector< RealGradient > & get_Sobolev_dweight () const override
 
virtual const std::vector< std::vector< Point > > & get_tangents () const override
 
virtual const std::vector< Point > & get_normals () const override
 
virtual const std::vector< Real > & get_curvatures () const override
 
virtual const std::vector< Real > & get_Sobolev_weightxR_sq () const override
 
virtual const std::vector< RealGradient > & get_Sobolev_dweightxR_sq () const override
 
std::unique_ptr< FEGenericBase< Real > > build (const unsigned int dim, const FEType &fet)
 
std::unique_ptr< FEGenericBase< RealGradient > > build (const unsigned int dim, const FEType &fet)
 
std::unique_ptr< FEGenericBase< Real > > build_InfFE (const unsigned int dim, const FEType &fet)
 
std::unique_ptr< FEGenericBase< RealGradient > > build_InfFE (const unsigned int, const FEType &)
 
const std::vector< std::vector< OutputShape > > & get_phi () const
 
const std::vector< std::vector< OutputShape > > & get_dual_phi () const
 
virtual void request_phi () const override
 request phi calculations
 
virtual void request_dual_phi () const override
 
const std::vector< std::vector< OutputGradient > > & get_dphi () const
 
const std::vector< std::vector< OutputGradient > > & get_dual_dphi () const
 
virtual void request_dphi () const override
 request dphi calculations
 
virtual void request_dual_dphi () const override
 
const DenseMatrix< Real > & get_dual_coeff () const
 
virtual_for_inffe const std::vector< std::vector< OutputShape > > & get_curl_phi () const
 
virtual_for_inffe const std::vector< std::vector< OutputDivergence > > & get_div_phi () const
 
const std::vector< std::vector< OutputShape > > & get_dphidx () const
 
const std::vector< std::vector< OutputShape > > & get_dphidy () const
 
const std::vector< std::vector< OutputShape > > & get_dphidz () const
 
const std::vector< std::vector< OutputShape > > & get_dphidxi () const
 
const std::vector< std::vector< OutputShape > > & get_dphideta () const
 
const std::vector< std::vector< OutputShape > > & get_dphidzeta () const
 
const std::vector< std::vector< OutputTensor > > & get_d2phi () const
 
const std::vector< std::vector< OutputTensor > > & get_dual_d2phi () const
 
const std::vector< std::vector< OutputShape > > & get_d2phidx2 () const
 
const std::vector< std::vector< OutputShape > > & get_d2phidxdy () const
 
const std::vector< std::vector< OutputShape > > & get_d2phidxdz () const
 
const std::vector< std::vector< OutputShape > > & get_d2phidy2 () const
 
const std::vector< std::vector< OutputShape > > & get_d2phidydz () const
 
const std::vector< std::vector< OutputShape > > & get_d2phidz2 () const
 
const std::vector< std::vector< OutputShape > > & get_d2phidxi2 () const
 
const std::vector< std::vector< OutputShape > > & get_d2phidxideta () const
 
const std::vector< std::vector< OutputShape > > & get_d2phidxidzeta () const
 
const std::vector< std::vector< OutputShape > > & get_d2phideta2 () const
 
const std::vector< std::vector< OutputShape > > & get_d2phidetadzeta () const
 
const std::vector< std::vector< OutputShape > > & get_d2phidzeta2 () const
 
const std::vector< OutputGradient > & get_dphase () const
 
virtual void print_phi (std::ostream &os) const override
 Prints the value of each shape function at each quadrature point.
 
virtual void print_dual_phi (std::ostream &os) const override
 
virtual void print_dphi (std::ostream &os) const override
 Prints the value of each shape function's derivative at each quadrature point.
 
virtual void print_dual_dphi (std::ostream &os) const override
 
virtual void print_d2phi (std::ostream &os) const override
 Prints the value of each shape function's second derivatives at each quadrature point.
 
virtual void print_dual_d2phi (std::ostream &os) const override
 
virtual void reinit_dual_shape_coeffs (const Elem *, const std::vector< Point > &, const std::vector< Real > &)
 This re-computes the dual shape function coefficients using CUSTOMIZED qrule.
 
virtual void reinit_default_dual_shape_coeffs (const Elem *)
 This re-computes the dual shape function coefficients using DEFAULT qrule.
 
unsigned int get_dim () const
 
void get_nothing () const
 
const Elem * get_elem () const
 
ElemType get_type () const
 
unsigned int get_p_level () const
 
FEType get_fe_type () const
 
Order get_order () const
 
void set_fe_order (int new_order)
 Sets the base FE order of the finite element.
 
FEFamily get_family () const
 
const FEMap & get_fe_map () const
 
FEMap & get_fe_map ()
 
void print_JxW (std::ostream &os) const
 Prints the Jacobian times the weight for each quadrature point.
 
void print_xyz (std::ostream &os) const
 Prints the spatial location of each quadrature point (on the physical element).
 
void print_info (std::ostream &os) const
 Prints all the relevant information about the current element.
 
void set_calculate_dual (const bool val)
 set calculate_dual as needed
 
void set_calculate_default_dual_coeff (const bool val)
 set calculate_default_dual_coeff as needed
 
void add_p_level_in_reinit (bool value)
 Indicate whether to add p-refinement levels in init/reinit methods.
 
bool add_p_level_in_reinit () const
 Whether to add p-refinement levels in init/reinit methods.
 

Static Public Member Functions

static Real shape (const FEType &fet, const ElemType t, const unsigned int i, const Point &p)
 
static Real shape (const FEType &fet, const Elem *elem, const unsigned int i, const Point &p)
 
static Real shape (const FEType fet, const Elem *elem, const unsigned int i, const Point &p, const bool add_p_level)
 
static Real shape_deriv (const FEType &fet, const Elem *inf_elem, const unsigned int i, const unsigned int j, const Point &p)
 
static Real shape_deriv (const FEType fet, const Elem *inf_elem, const unsigned int i, const unsigned int j, const Point &p, const bool add_p_level)
 
static Real shape_deriv (const FEType &fet, const ElemType inf_elem_type, const unsigned int i, const unsigned int j, const Point &p)
 
static void compute_data (const FEType &fe_t, const Elem *inf_elem, FEComputeData &data)
 Generalized version of shape(), takes an Elem *.
 
static unsigned int n_shape_functions (const FEType &fet, const Elem *inf_elem)
 
static unsigned int n_dofs (const FEType &fet, const Elem *inf_elem)
 
static unsigned int n_dofs_at_node (const FEType &fet, const ElemType inf_elem_type, const unsigned int n)
 
static unsigned int n_dofs_at_node (const FEType &fet, const Elem *inf_elem, const unsigned int n)
 
static unsigned int n_dofs_per_elem (const FEType &fet, const ElemType inf_elem_type)
 
static unsigned int n_dofs_per_elem (const FEType &fet, const Elem *inf_elem)
 
static void nodal_soln (const FEType &fet, const Elem *elem, const std::vector< Number > &elem_soln, std::vector< Number > &nodal_soln)
 Usually, this method would build the nodal soln from the element soln.
 
static Point map (const Elem *inf_elem, const Point &reference_point)
 
static Point inverse_map (const Elem *elem, const Point &p, const Real tolerance=TOLERANCE, const bool secure=true)
 
static void inverse_map (const Elem *elem, const std::vector< Point > &physical_points, std::vector< Point > &reference_points, const Real tolerance=TOLERANCE, const bool secure=true)
 
static void inf_compute_constraints (DofConstraints &constraints, DofMap &dof_map, const unsigned int variable_number, const Elem *child_elem)
 Computes the constraint matrix contributions (for non-conforming adapted meshes) corresponding to variable number var_number, adapted to infinite elements.
 
static void inf_compute_node_constraints (NodeConstraints &constraints, const Elem *elem)
 
static std::unique_ptr< FEGenericBase > build (const unsigned int dim, const FEType &type)
 Builds a specific finite element type.
 
static std::unique_ptr< FEGenericBase > build_InfFE (const unsigned int dim, const FEType &type)
 Builds a specific infinite element type.
 
static void compute_proj_constraints (DofConstraints &constraints, DofMap &dof_map, const unsigned int variable_number, const Elem *elem)
 Computes the constraint matrix contributions (for non-conforming adapted meshes) corresponding to variable number var_number, using generic projections.
 
static void coarsened_dof_values (const NumericVector< Number > &global_vector, const DofMap &dof_map, const Elem *coarse_elem, DenseVector< Number > &coarse_dofs, const unsigned int var, const bool use_old_dof_indices=false)
 Creates a local projection on coarse_elem, based on the DoF values in global_vector for it's children.
 
static void coarsened_dof_values (const NumericVector< Number > &global_vector, const DofMap &dof_map, const Elem *coarse_elem, DenseVector< Number > &coarse_dofs, const bool use_old_dof_indices=false)
 Creates a local projection on coarse_elem, based on the DoF values in global_vector for it's children.
 
static void compute_periodic_constraints (DofConstraints &constraints, DofMap &dof_map, const PeriodicBoundaries &boundaries, const MeshBase &mesh, const PointLocatorBase *point_locator, const unsigned int variable_number, const Elem *elem)
 Computes the constraint matrix contributions (for meshes with periodic boundary conditions) corresponding to variable number var_number, using generic projections.
 
static bool on_reference_element (const Point &p, const ElemType t, const Real eps=TOLERANCE)
 
static void get_refspace_nodes (const ElemType t, std::vector< Point > &nodes)
 
static void compute_node_constraints (NodeConstraints &constraints, const Elem *elem)
 Computes the nodal constraint contributions (for non-conforming adapted meshes), using Lagrange geometry.
 
static void compute_periodic_node_constraints (NodeConstraints &constraints, const PeriodicBoundaries &boundaries, const MeshBase &mesh, const PointLocatorBase *point_locator, const Elem *elem)
 Computes the node position constraint equation contributions (for meshes with periodic boundary conditions)
 
static void print_info (std::ostream &out_stream=libMesh::out)
 Prints the reference information, by default to libMesh::out.
 
static std::string get_info ()
 Gets a string containing the reference information.
 
static unsigned int n_objects ()
 Prints the number of outstanding (created, but not yet destroyed) objects.
 
static void enable_print_counter_info ()
 Methods to enable/disable the reference counter output from print_info().
 
static void disable_print_counter_info ()
 

Protected Types

typedef std::map< std::string, std::pair< unsigned int, unsigned int > > Counts
 Data structure to log the information.
 

Protected Member Functions

void update_base_elem (const Elem *inf_elem)
 Updates the protected member base_elem to the appropriate base element for the given inf_elem.
 
virtual void init_base_shape_functions (const std::vector< Point > &, const Elem *) override
 Do not use this derived member in InfFE<Dim,T_radial,T_map>.
 
virtual void determine_calculations () override
 Determine which values are to be calculated, for both the FE itself and for the FEMap.
 
void init_radial_shape_functions (const Elem *inf_elem, const std::vector< Point > *radial_pts=nullptr)
 Some of the member data only depend on the radial part of the infinite element.
 
void init_shape_functions (const std::vector< Point > &radial_qp, const std::vector< Point > &base_qp, const Elem *inf_elem)
 Initialize all the data fields like weight, mode, phi, dphidxi, dphideta, dphidzeta, etc.
 
void init_face_shape_functions (const std::vector< Point > &, const Elem *inf_side)
 Initialize all the data fields like weight, phi, etc for the side s.
 
void compute_shape_functions (const Elem *inf_elem, const std::vector< Point > &base_qp, const std::vector< Point > &radial_qp)
 After having updated the jacobian and the transformation from local to global coordinates in FEAbstract::compute_map(), the first derivatives of the shape functions are transformed to global coordinates, giving dphi, dphidx/y/z, dphasedx/y/z, dweight.
 
void compute_face_functions ()
 
virtual void compute_shape_functions (const Elem *, const std::vector< Point > &) override
 Use compute_shape_functions(const Elem*, const std::vector<Point> &, const std::vector<Point> &) instead.
 
Real eval (Real x, Order, unsigned n)
 
Real eval (Real x, Order, unsigned n)
 
Real eval (Real x, Order, unsigned n)
 
Real eval_deriv (Real x, Order, unsigned n)
 
Real eval_deriv (Real x, Order, unsigned n)
 
Real eval_deriv (Real x, Order, unsigned n)
 
Real eval (Real x, Order, unsigned n)
 
Real eval (Real x, Order, unsigned n)
 
Real eval (Real x, Order, unsigned n)
 
Real eval_deriv (Real x, Order, unsigned n)
 
Real eval_deriv (Real x, Order, unsigned n)
 
Real eval_deriv (Real x, Order, unsigned n)
 
Real eval (Real v, Order o, unsigned i)
 
Real eval (Real v, Order o, unsigned i)
 
Real eval (Real v, Order o, unsigned i)
 
Real eval_deriv (Real v, Order o, unsigned i)
 
Real eval_deriv (Real v, Order o, unsigned i)
 
Real eval_deriv (Real v, Order o, unsigned i)
 
Real eval (Real x, Order, unsigned n)
 
Real eval (Real x, Order, unsigned n)
 
Real eval (Real x, Order, unsigned n)
 
Real eval_deriv (Real x, Order, unsigned n)
 
Real eval_deriv (Real x, Order, unsigned n)
 
Real eval_deriv (Real x, Order, unsigned n)
 
Real eval (Real v, Order o, unsigned i)
 
Real eval (Real v, Order o, unsigned i)
 
Real eval (Real v, Order o, unsigned i)
 
Real eval_deriv (Real v, Order o, unsigned i)
 
Real eval_deriv (Real v, Order o, unsigned i)
 
Real eval_deriv (Real v, Order o, unsigned i)
 
bool calculating_nothing () const
 
void compute_dual_shape_coeffs (const std::vector< Real > &JxW, const std::vector< std::vector< OutputShape > > &phi)
 Compute the dual basis coefficients dual_coeff we rely on the JxW (or weights) and the phi values, which can come from default or customized qrule.
 
void compute_dual_shape_coeffs (const std::vector< Real > &, const std::vector< std::vector< OutputShape > > &)
 
void compute_dual_shape_coeffs (const std::vector< Real > &JxW, const std::vector< std::vector< OutputShape > > &phi_vals)
 
void compute_dual_shape_functions ()
 Compute dual_phi, dual_dphi, dual_d2phi It is only valid for this to be called after reinit has occurred with a quadrature rule.
 
void compute_dual_shape_functions ()
 
void compute_dual_shape_functions ()
 
void increment_constructor_count (const std::string &name) noexcept
 Increments the construction counter.
 
void increment_destructor_count (const std::string &name) noexcept
 Increments the destruction counter.
 

Static Protected Member Functions

static Real eval (Real v, Order o_radial, unsigned int i)
 
static Real eval_deriv (Real v, Order o_radial, unsigned int i)
 
static void compute_node_indices (const ElemType inf_elem_type, const unsigned int outer_node_index, unsigned int &base_node, unsigned int &radial_node)
 Computes the indices in the base base_node and in radial direction radial_node (either 0 or 1) associated to the node outer_node_index of an infinite element of type inf_elem_type.
 
static void compute_node_indices_fast (const ElemType inf_elem_type, const unsigned int outer_node_index, unsigned int &base_node, unsigned int &radial_node)
 Does the same as compute_node_indices(), but stores the maps for the current element type.
 
static void compute_shape_indices (const FEType &fet, const ElemType inf_elem_type, const unsigned int i, unsigned int &base_shape, unsigned int &radial_shape)
 
static void compute_shape_indices (const FEType &fet, const Elem *inf_elem, const unsigned int i, unsigned int &base_shape, unsigned int &radial_shape)
 Computes the indices of shape functions in the base base_shape and in radial direction radial_shape (0 in the base, \( \ge 1 \) further out) associated to the shape with global index i of an infinite element inf_elem.
 

Protected Attributes

bool calculate_map_scaled
 Are we calculating scaled mapping functions?
 
bool calculate_phi_scaled
 Are we calculating scaled shape functions?
 
bool calculate_dphi_scaled
 Are we calculating scaled shape function gradients?
 
bool calculate_xyz
 Are we calculating the positions of quadrature points?
 
bool calculate_jxw
 Are we calculating the unscaled jacobian? We avoid it if not requested explicitly; this has the worst stability.
 
std::vector< Point > xyz
 Physical quadrature points.
 
std::vector< Real > weightxr_sq
 
std::vector< Real > dweightdv
 the additional radial weight \( 1/{r^2} \) in local coordinates, over all quadrature points.
 
std::vector< RealGradient > dweightxr_sq
 
std::vector< Real > som
 the radial decay \( 1/r \) in local coordinates.
 
std::vector< Real > dsomdv
 the first local derivative of the radial decay \( 1/r \) in local coordinates.
 
std::vector< std::vector< Real > > mode
 the radial approximation shapes in local coordinates Needed when setting up the overall shape functions.
 
std::vector< std::vector< Real > > dmodedv
 the first local derivative of the radial approximation shapes.
 
std::vector< Real > dxidx_map
 
std::vector< Real > dxidy_map
 
std::vector< Real > dxidz_map
 
std::vector< Real > detadx_map
 
std::vector< Real > detady_map
 
std::vector< Real > detadz_map
 
std::vector< Real > dzetadx_map
 
std::vector< Real > dzetady_map
 
std::vector< Real > dzetadz_map
 
std::vector< Real > dxidx_map_scaled
 
std::vector< Real > dxidy_map_scaled
 
std::vector< Real > dxidz_map_scaled
 
std::vector< Real > detadx_map_scaled
 
std::vector< Real > detady_map_scaled
 
std::vector< Real > detadz_map_scaled
 
std::vector< Real > dzetadx_map_scaled
 
std::vector< Real > dzetady_map_scaled
 
std::vector< Real > dzetadz_map_scaled
 
std::vector< std::vector< Real > > phixr
 
std::vector< std::vector< RealGradient > > dphixr
 
std::vector< std::vector< RealGradient > > dphixr_sq
 
std::vector< Real > JxWxdecay
 
std::vector< Real > JxW
 
std::vector< Point > normals
 
std::vector< std::vector< Point > > tangents
 
std::vector< unsigned int > _radial_node_index
 The internal structure of the InfFE – tensor product of base element times radial nodes – has to be determined from the node numbering of the current infinite element.
 
std::vector< unsigned int > _base_node_index
 The internal structure of the InfFE – tensor product of base element times radial nodes – has to be determined from the node numbering of the current element.
 
std::vector< unsigned int > _radial_shape_index
 The internal structure of the InfFE – tensor product of base element shapes times radial shapes – has to be determined from the dof numbering scheme of the current infinite element.
 
std::vector< unsigned int > _base_shape_index
 The internal structure of the InfFE – tensor product of base element shapes times radial shapes – has to be determined from the dof numbering scheme of the current infinite element.
 
unsigned int _n_total_approx_sf
 The number of total approximation shape functions for the current configuration.
 
std::vector< Real > _total_qrule_weights
 this vector contains the combined integration weights, so that FEAbstract::compute_map() can still be used
 
std::unique_ptr< QBase > base_qrule
 The quadrature rule for the base element associated with the current infinite element.
 
std::unique_ptr< QBase > radial_qrule
 The quadrature rule for the base element associated with the current infinite element.
 
std::unique_ptr< const Elem > base_elem
 The "base" (aka non-infinite) element associated with the current infinite element.
 
std::unique_ptr< FEBase > base_fe
 Have a FE<Dim-1,T_base> handy for base approximation.
 
FEType current_fe_type
 This FEType stores the characteristics for which the data structures phi, phi_map etc are currently initialized.
 
std::unique_ptr< FETransformationBase< OutputType > > _fe_trans
 Object that handles computing shape function values, gradients, etc in the physical domain.
 
std::vector< std::vector< OutputShape > > phi
 Shape function values.
 
std::vector< std::vector< OutputShape > > dual_phi
 
std::vector< std::vector< OutputGradient > > dphi
 Shape function derivative values.
 
std::vector< std::vector< OutputGradient > > dual_dphi
 
DenseMatrix< Real > dual_coeff
 Coefficient matrix for the dual basis.
 
std::vector< std::vector< OutputShape > > curl_phi
 Shape function curl values.
 
std::vector< std::vector< OutputDivergence > > div_phi
 Shape function divergence values.
 
std::vector< std::vector< OutputShape > > dphidxi
 Shape function derivatives in the xi direction.
 
std::vector< std::vector< OutputShape > > dphideta
 Shape function derivatives in the eta direction.
 
std::vector< std::vector< OutputShape > > dphidzeta
 Shape function derivatives in the zeta direction.
 
std::vector< std::vector< OutputShape > > dphidx
 Shape function derivatives in the x direction.
 
std::vector< std::vector< OutputShape > > dphidy
 Shape function derivatives in the y direction.
 
std::vector< std::vector< OutputShape > > dphidz
 Shape function derivatives in the z direction.
 
std::vector< std::vector< OutputTensor > > d2phi
 Shape function second derivative values.
 
std::vector< std::vector< OutputTensor > > dual_d2phi
 
std::vector< std::vector< OutputShape > > d2phidxi2
 Shape function second derivatives in the xi direction.
 
std::vector< std::vector< OutputShape > > d2phidxideta
 Shape function second derivatives in the xi-eta direction.
 
std::vector< std::vector< OutputShape > > d2phidxidzeta
 Shape function second derivatives in the xi-zeta direction.
 
std::vector< std::vector< OutputShape > > d2phideta2
 Shape function second derivatives in the eta direction.
 
std::vector< std::vector< OutputShape > > d2phidetadzeta
 Shape function second derivatives in the eta-zeta direction.
 
std::vector< std::vector< OutputShape > > d2phidzeta2
 Shape function second derivatives in the zeta direction.
 
std::vector< std::vector< OutputShape > > d2phidx2
 Shape function second derivatives in the x direction.
 
std::vector< std::vector< OutputShape > > d2phidxdy
 Shape function second derivatives in the x-y direction.
 
std::vector< std::vector< OutputShape > > d2phidxdz
 Shape function second derivatives in the x-z direction.
 
std::vector< std::vector< OutputShape > > d2phidy2
 Shape function second derivatives in the y direction.
 
std::vector< std::vector< OutputShape > > d2phidydz
 Shape function second derivatives in the y-z direction.
 
std::vector< std::vector< OutputShape > > d2phidz2
 Shape function second derivatives in the z direction.
 
std::vector< OutputGradient > dphase
 Used for certain infinite element families: the first derivatives of the phase term in global coordinates, over all quadrature points.
 
std::vector< RealGradient > dweight
 Used for certain infinite element families: the global derivative of the additional radial weight \( 1/{r^2} \), over all quadrature points.
 
std::vector< Real > weight
 Used for certain infinite element families: the additional radial weight \( 1/{r^2} \) in local coordinates, over all quadrature points.
 
std::unique_ptr< FEMap > _fe_map
 
const unsigned int dim
 The dimensionality of the object.
 
bool calculations_started
 Have calculations with this object already been started? Then all get_* functions should already have been called.
 
bool calculate_dual
 Are we calculating dual basis?
 
bool calculate_default_dual_coeff
 Are we calculating the coefficient for the dual basis using the default qrule?
 
bool calculate_nothing
 Are we potentially deliberately calculating nothing?
 
bool calculate_map
 Are we calculating mapping functions?
 
bool calculate_phi
 Should we calculate shape functions?
 
bool calculate_dphi
 Should we calculate shape function gradients?
 
bool calculate_d2phi
 Should we calculate shape function hessians?
 
const bool calculate_d2phi =false
 
bool calculate_curl_phi
 Should we calculate shape function curls?
 
bool calculate_div_phi
 Should we calculate shape function divergences?
 
bool calculate_dphiref
 Should we calculate reference shape function gradients?
 
FEType fe_type
 The finite element type for this object.
 
ElemType _elem_type
 The element type the current data structures were set up for.
 
const Elem * _elem
 The element the current data structures were set up for.
 
unsigned int _elem_p_level
 The element p-refinement level the current data structures are set up for.
 
unsigned int _p_level
 The p refinement level the current data structures are set up for.
 
QBase * qrule
 A pointer to the quadrature rule employed.
 
bool shapes_on_quadrature
 A flag indicating if current data structures correspond to quadrature rule points.
 
unsigned int _n_total_qp
 The total number of quadrature points for the current configuration.
 
bool _add_p_level_in_reinit
 Whether to add p-refinement levels in init/reinit methods.
 

Static Protected Attributes

static Counts _counts
 Actually holds the data.
 
static Threads::atomic< unsigned int > _n_objects
 The number of objects.
 
static Threads::spin_mutex _mutex
 Mutual exclusion object to enable thread-safe reference counting.
 
static bool _enable_print_counter = true
 Flag to control whether reference count information is printed when print_info is called.
 

Private Member Functions

virtual bool shapes_need_reinit () const override
 

Static Private Attributes

static ElemType _compute_node_indices_fast_current_elem_type = INVALID_ELEM
 When compute_node_indices_fast() is used, this static variable remembers the element type for which the static variables in compute_node_indices_fast() are currently set.
 
static bool _warned_for_nodal_soln = false
 static members that are used to issue warning messages only once.
 
static bool _warned_for_shape = false
 
static bool _warned_for_dshape = false
 

Friends

template<unsigned int friend_Dim, FEFamily friend_T_radial, InfMapType friend_T_map>
class InfFE
 Make all InfFE<Dim,T_radial,T_map> classes friends of each other, so that the protected eval() may be accessed.
 
class InfFEMap
 

Detailed Description

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
class libMesh::InfFE< Dim, T_radial, T_map >

A specific instantiation of the FEBase class.

This class is templated, and specific template instantiations will result in different Infinite Element families, similar to the FE class. InfFE builds a FE<Dim-1,T_base>, and most of the requests related to the base are handed over to this object. All methods related to the radial part are collected in the class InfFERadial. Similarly, most of the static methods concerning base approximation are contained in InfFEBase.

Having different shape approximation families in radial direction introduces the requirement for an additional Order in this class. Therefore, the FEType internals change when infinite elements are enabled. When the specific infinite element type is not known at compile time, use the FEBase::build() member to create abstract (but still optimized) infinite elements at run time.

The node numbering scheme is the one from the current infinite element. Each node in the base holds exactly the same number of dofs as an adjacent conventional FE would contain. The nodes further out hold the additional dof necessary for radial approximation. The order of the outer nodes' components is such that the radial shapes have highest priority, followed by the base shapes.

For the derivation and some background of the implemented algorithm see https://arxiv.org/abs/2501.05568.

Author
Daniel Dreyer
Date
2003

Base class for all the infinite geometric element types.

Definition at line 224 of file inf_fe.h.

Member Typedef Documentation

◆ Counts

typedef std::map<std::string, std::pair<unsigned int, unsigned int> > libMesh::ReferenceCounter::Counts
protectedinherited

Data structure to log the information.

The log is identified by the class name.

Definition at line 119 of file reference_counter.h.

◆ OutputDivergence

template<typename OutputType >
typedef TensorTools::DecrementRank<OutputShape>::type libMesh::FEGenericBase< OutputType >::OutputDivergence
inherited

Definition at line 122 of file fe_base.h.

◆ OutputGradient

template<typename OutputType >
typedef TensorTools::IncrementRank<OutputShape>::type libMesh::FEGenericBase< OutputType >::OutputGradient
inherited

Definition at line 120 of file fe_base.h.

◆ OutputNumber

template<typename OutputType >
typedef TensorTools::MakeNumber<OutputShape>::type libMesh::FEGenericBase< OutputType >::OutputNumber
inherited

Definition at line 123 of file fe_base.h.

◆ OutputNumberDivergence

template<typename OutputType >
typedef TensorTools::DecrementRank<OutputNumber>::type libMesh::FEGenericBase< OutputType >::OutputNumberDivergence
inherited

Definition at line 126 of file fe_base.h.

◆ OutputNumberGradient

template<typename OutputType >
typedef TensorTools::IncrementRank<OutputNumber>::type libMesh::FEGenericBase< OutputType >::OutputNumberGradient
inherited

Definition at line 124 of file fe_base.h.

◆ OutputNumberTensor

template<typename OutputType >
typedef TensorTools::IncrementRank<OutputNumberGradient>::type libMesh::FEGenericBase< OutputType >::OutputNumberTensor
inherited

Definition at line 125 of file fe_base.h.

◆ OutputShape

template<typename OutputType >
typedef OutputType libMesh::FEGenericBase< OutputType >::OutputShape
inherited

Convenient typedefs for gradients of output, hessians of output, and potentially-complex-valued versions of same.

Definition at line 119 of file fe_base.h.

◆ OutputTensor

template<typename OutputType >
typedef TensorTools::IncrementRank<OutputGradient>::type libMesh::FEGenericBase< OutputType >::OutputTensor
inherited

Definition at line 121 of file fe_base.h.

Constructor & Destructor Documentation

◆ InfFE()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
libMesh::InfFE< Dim, T_radial, T_map >::InfFE ( const FEType &  fet)
explicit

Constructor and empty destructor.

Initializes some data structures. Builds a FE<Dim-1,T_base> object to handle approximation in the base, so that there is no need to template InfFE<Dim,T_radial,T_map> also with respect to the base approximation T_base.

The same remarks concerning compile-time optimization for FE also hold for InfFE. Use the FEBase::build_InfFE(const unsigned int, const FEType &) method to build specific instantiations of InfFE at run time.

Definition at line 43 of file inf_fe.C.

43 :
44 FEBase (Dim, fet),
45
46 calculate_map_scaled(false),
47 calculate_phi_scaled(false),
48 calculate_dphi_scaled(false),
49 calculate_xyz(false),
50 calculate_jxw(false),
51 _n_total_approx_sf (0),
52
53 // initialize the current_fe_type to all the same
54 // values as \p fet (since the FE families and coordinate
55 // map type should not change), but use an invalid order
56 // for the radial part (since this is the only order
57 // that may change!).
58 // the data structures like \p phi etc are not initialized
59 // through the constructor, but through reinit()
60 current_fe_type (FEType(fet.order,
61 fet.family,
62 INVALID_ORDER,
63 fet.radial_family,
64 fet.inf_map))
65
66{
67 // Sanity checks
68 libmesh_assert_equal_to (T_radial, fe_type.radial_family);
69 libmesh_assert_equal_to (T_map, fe_type.inf_map);
70
71 // build the base_fe object
72 if (Dim != 1)
73 base_fe = FEBase::build(Dim-1, fet);
74}
libMesh::FEAbstract::fe_type
FEType fe_type
The finite element type for this object.
Definition fe_abstract.h:730
libMesh::FEGenericBase::build
static std::unique_ptr< FEGenericBase > build(const unsigned int dim, const FEType &type)
Builds a specific finite element type.
libMesh::FEType::inf_map
InfMapType inf_map
The coordinate mapping type of the infinite element.
Definition fe_type.h:284
libMesh::FEType::radial_family
FEFamily radial_family
The type of approximation in radial direction.
Definition fe_type.h:276
libMesh::InfFE::current_fe_type
FEType current_fe_type
This FEType stores the characteristics for which the data structures phi, phi_map etc are currently i...
Definition inf_fe.h:1216
libMesh::InfFE::calculate_dphi_scaled
bool calculate_dphi_scaled
Are we calculating scaled shape function gradients?
Definition inf_fe.h:977
libMesh::InfFE::calculate_jxw
bool calculate_jxw
Are we calculating the unscaled jacobian? We avoid it if not requested explicitly; this has the worst...
Definition inf_fe.h:990
libMesh::InfFE::calculate_xyz
bool calculate_xyz
Are we calculating the positions of quadrature points?
Definition inf_fe.h:983
libMesh::InfFE::_n_total_approx_sf
unsigned int _n_total_approx_sf
The number of total approximation shape functions for the current configuration.
Definition inf_fe.h:1173
libMesh::InfFE::base_fe
std::unique_ptr< FEBase > base_fe
Have a FE<Dim-1,T_base> handy for base approximation.
Definition inf_fe.h:1206
libMesh::InfFE::calculate_map_scaled
bool calculate_map_scaled
Are we calculating scaled mapping functions?
Definition inf_fe.h:967
libMesh::InfFE::calculate_phi_scaled
bool calculate_phi_scaled
Are we calculating scaled shape functions?
Definition inf_fe.h:972
libMesh::FEBase
FEGenericBase< Real > FEBase
Definition exact_error_estimator.h:40
libMesh::INVALID_ORDER
@ INVALID_ORDER
Definition enum_order.h:88

References libMesh::InfFE< Dim, T_radial, T_map >::base_fe, libMesh::FEGenericBase< OutputType >::build(), libMesh::FEAbstract::fe_type, libMesh::FEType::inf_map, and libMesh::FEType::radial_family.

◆ ~InfFE()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
libMesh::InfFE< Dim, T_radial, T_map >::~InfFE ( )
default

Member Function Documentation

◆ add_p_level_in_reinit() [1/2]

bool libMesh::FEAbstract::add_p_level_in_reinit ( ) const
inlineinherited

Whether to add p-refinement levels in init/reinit methods.

Definition at line 636 of file fe_abstract.h.

636{ return _add_p_level_in_reinit; }
libMesh::FEAbstract::_add_p_level_in_reinit
bool _add_p_level_in_reinit
Whether to add p-refinement levels in init/reinit methods.
Definition fe_abstract.h:787

References libMesh::FEAbstract::_add_p_level_in_reinit.

◆ add_p_level_in_reinit() [2/2]

void libMesh::FEAbstract::add_p_level_in_reinit ( bool  value)
inlineinherited

Indicate whether to add p-refinement levels in init/reinit methods.

Definition at line 631 of file fe_abstract.h.

631{ _add_p_level_in_reinit = value; }
value
static const bool value
Definition xdr_io.C:55

References libMesh::FEAbstract::_add_p_level_in_reinit, and value.

Referenced by libMesh::FEMContext::build_new_fe().

◆ attach_quadrature_rule()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
void libMesh::InfFE< Dim, T_radial, T_map >::attach_quadrature_rule ( QBase *  q)
overridevirtual

The use of quadrature rules with the InfFE class is somewhat different from the approach of the FE class.

While the FE class requires an appropriately initialized quadrature rule object, and simply uses it, the InfFE class requires only the quadrature rule object of the current FE class. From this QBase *, it determines the necessary data, and builds two appropriate quadrature classes, one for radial, and another for base integration, using the convenient QBase::build() method.

Implements libMesh::FEAbstract.

Definition at line 79 of file inf_fe.C.

80{
81 libmesh_assert(q);
82 libmesh_assert(base_fe);
83
84 const Order base_int_order = q->get_order();
85 const Order radial_int_order = static_cast<Order>(2 * (static_cast<unsigned int>(fe_type.radial_order.get_order()) + 1) +2);
86 const unsigned int qrule_dim = q->get_dim();
87
88 if (Dim != 1)
89 {
90 // build a Dim-1 quadrature rule of the type that we received
91 base_qrule = QBase::build(q->type(), qrule_dim-1, base_int_order);
92 base_fe->attach_quadrature_rule(base_qrule.get());
93 }
94
95 // in radial direction, always use Gauss quadrature
96 radial_qrule = std::make_unique<QGauss>(1, radial_int_order);
97
98 // Maybe helpful to store the QBase *
99 // with which we initialized our own quadrature rules.
100 // Used e.g. in \p InfFE::reinit(elem,side)
101 qrule = q;
102}
libMesh::FEAbstract::qrule
QBase * qrule
A pointer to the quadrature rule employed.
Definition fe_abstract.h:762
libMesh::FEType::radial_order
OrderWrapper radial_order
The approximation order in radial direction of the infinite element.
Definition fe_type.h:263
libMesh::InfFE::base_qrule
std::unique_ptr< QBase > base_qrule
The quadrature rule for the base element associated with the current infinite element.
Definition inf_fe.h:1185
libMesh::InfFE::radial_qrule
std::unique_ptr< QBase > radial_qrule
The quadrature rule for the base element associated with the current infinite element.
Definition inf_fe.h:1191
libMesh::OrderWrapper::get_order
int get_order() const
Explicitly request the order as an int.
Definition fe_type.h:80
libMesh::QBase::build
static std::unique_ptr< QBase > build(std::string_view name, const unsigned int dim, const Order order=INVALID_ORDER)
Builds a specific quadrature rule based on the name string.
Definition quadrature_build.C:43
libMesh::libmesh_assert
libmesh_assert(ctx)

References libMesh::QBase::build(), libMesh::QBase::get_dim(), libMesh::QBase::get_order(), libMesh::libmesh_assert(), and libMesh::QBase::type().

◆ build() [1/3]

std::unique_ptr< FEGenericBase< Real > > libMesh::FEGenericBase< Real >::build ( const unsigned int  dim,
const FEType &  fet 
)
inherited

Definition at line 191 of file fe_base.C.

193{
194 switch (dim)
195 {
196 // 0D
197 case 0:
198 {
199 switch (fet.family)
200 {
201 case CLOUGH:
202 return std::make_unique<FE<0,CLOUGH>>(fet);
203
204 case HERMITE:
205 return std::make_unique<FE<0,HERMITE>>(fet);
206
207 case LAGRANGE:
208 return std::make_unique<FE<0,LAGRANGE>>(fet);
209
210 case L2_LAGRANGE:
211 return std::make_unique<FE<0,L2_LAGRANGE>>(fet);
212
213 case HIERARCHIC:
214 return std::make_unique<FE<0,HIERARCHIC>>(fet);
215
216 case L2_HIERARCHIC:
217 return std::make_unique<FE<0,L2_HIERARCHIC>>(fet);
218
219 case SIDE_HIERARCHIC:
220 return std::make_unique<FE<0,SIDE_HIERARCHIC>>(fet);
221
222 case MONOMIAL:
223 return std::make_unique<FE<0,MONOMIAL>>(fet);
224
225#ifdef LIBMESH_ENABLE_HIGHER_ORDER_SHAPES
226 case SZABAB:
227 return std::make_unique<FE<0,SZABAB>>(fet);
228
229 case BERNSTEIN:
230 return std::make_unique<FE<0,BERNSTEIN>>(fet);
231
232 case RATIONAL_BERNSTEIN:
233 return std::make_unique<FE<0,RATIONAL_BERNSTEIN>>(fet);
234#endif
235
236 case XYZ:
237 return std::make_unique<FEXYZ<0>>(fet);
238
239 case SCALAR:
240 return std::make_unique<FEScalar<0>>(fet);
241
242 default:
243 libmesh_error_msg("ERROR: Bad FEType.family == " << Utility::enum_to_string(fet.family));
244 }
245 }
246 // 1D
247 case 1:
248 {
249 switch (fet.family)
250 {
251 case CLOUGH:
252 return std::make_unique<FE<1,CLOUGH>>(fet);
253
254 case HERMITE:
255 return std::make_unique<FE<1,HERMITE>>(fet);
256
257 case LAGRANGE:
258 return std::make_unique<FE<1,LAGRANGE>>(fet);
259
260 case L2_LAGRANGE:
261 return std::make_unique<FE<1,L2_LAGRANGE>>(fet);
262
263 case HIERARCHIC:
264 return std::make_unique<FE<1,HIERARCHIC>>(fet);
265
266 case L2_HIERARCHIC:
267 return std::make_unique<FE<1,L2_HIERARCHIC>>(fet);
268
269 case SIDE_HIERARCHIC:
270 return std::make_unique<FE<1,SIDE_HIERARCHIC>>(fet);
271
272 case MONOMIAL:
273 return std::make_unique<FE<1,MONOMIAL>>(fet);
274
275#ifdef LIBMESH_ENABLE_HIGHER_ORDER_SHAPES
276 case SZABAB:
277 return std::make_unique<FE<1,SZABAB>>(fet);
278
279 case BERNSTEIN:
280 return std::make_unique<FE<1,BERNSTEIN>>(fet);
281
282 case RATIONAL_BERNSTEIN:
283 return std::make_unique<FE<1,RATIONAL_BERNSTEIN>>(fet);
284#endif
285
286 case XYZ:
287 return std::make_unique<FEXYZ<1>>(fet);
288
289 case SCALAR:
290 return std::make_unique<FEScalar<1>>(fet);
291
292 default:
293 libmesh_error_msg("ERROR: Bad FEType.family == " << Utility::enum_to_string(fet.family));
294 }
295 }
296
297
298 // 2D
299 case 2:
300 {
301 switch (fet.family)
302 {
303 case CLOUGH:
304 return std::make_unique<FE<2,CLOUGH>>(fet);
305
306 case HERMITE:
307 return std::make_unique<FE<2,HERMITE>>(fet);
308
309 case LAGRANGE:
310 return std::make_unique<FE<2,LAGRANGE>>(fet);
311
312 case L2_LAGRANGE:
313 return std::make_unique<FE<2,L2_LAGRANGE>>(fet);
314
315 case HIERARCHIC:
316 return std::make_unique<FE<2,HIERARCHIC>>(fet);
317
318 case L2_HIERARCHIC:
319 return std::make_unique<FE<2,L2_HIERARCHIC>>(fet);
320
321 case SIDE_HIERARCHIC:
322 return std::make_unique<FE<2,SIDE_HIERARCHIC>>(fet);
323
324 case MONOMIAL:
325 return std::make_unique<FE<2,MONOMIAL>>(fet);
326
327#ifdef LIBMESH_ENABLE_HIGHER_ORDER_SHAPES
328 case SZABAB:
329 return std::make_unique<FE<2,SZABAB>>(fet);
330
331 case BERNSTEIN:
332 return std::make_unique<FE<2,BERNSTEIN>>(fet);
333
334 case RATIONAL_BERNSTEIN:
335 return std::make_unique<FE<2,RATIONAL_BERNSTEIN>>(fet);
336#endif
337
338 case XYZ:
339 return std::make_unique<FEXYZ<2>>(fet);
340
341 case SCALAR:
342 return std::make_unique<FEScalar<2>>(fet);
343
344 case SUBDIVISION:
345 return std::make_unique<FESubdivision>(fet);
346
347 default:
348 libmesh_error_msg("ERROR: Bad FEType.family == " << Utility::enum_to_string(fet.family));
349 }
350 }
351
352
353 // 3D
354 case 3:
355 {
356 switch (fet.family)
357 {
358 case CLOUGH:
359 libmesh_error_msg("ERROR: Clough-Tocher elements currently only support 1D and 2D");
360
361 case HERMITE:
362 return std::make_unique<FE<3,HERMITE>>(fet);
363
364 case LAGRANGE:
365 return std::make_unique<FE<3,LAGRANGE>>(fet);
366
367 case L2_LAGRANGE:
368 return std::make_unique<FE<3,L2_LAGRANGE>>(fet);
369
370 case HIERARCHIC:
371 return std::make_unique<FE<3,HIERARCHIC>>(fet);
372
373 case L2_HIERARCHIC:
374 return std::make_unique<FE<3,L2_HIERARCHIC>>(fet);
375
376 case SIDE_HIERARCHIC:
377 return std::make_unique<FE<3,SIDE_HIERARCHIC>>(fet);
378
379 case MONOMIAL:
380 return std::make_unique<FE<3,MONOMIAL>>(fet);
381
382#ifdef LIBMESH_ENABLE_HIGHER_ORDER_SHAPES
383 case SZABAB:
384 return std::make_unique<FE<3,SZABAB>>(fet);
385
386 case BERNSTEIN:
387 return std::make_unique<FE<3,BERNSTEIN>>(fet);
388
389 case RATIONAL_BERNSTEIN:
390 return std::make_unique<FE<3,RATIONAL_BERNSTEIN>>(fet);
391#endif
392
393 case XYZ:
394 return std::make_unique<FEXYZ<3>>(fet);
395
396 case SCALAR:
397 return std::make_unique<FEScalar<3>>(fet);
398
399 default:
400 libmesh_error_msg("ERROR: Bad FEType.family == " << Utility::enum_to_string(fet.family));
401 }
402 }
403
404 default:
405 libmesh_error_msg("Invalid dimension dim = " << dim);
406 }
407}
libMesh::FEAbstract::dim
const unsigned int dim
The dimensionality of the object.
Definition fe_abstract.h:660
libMesh::FEType::family
FEFamily family
The type of finite element.
Definition fe_type.h:228
libMesh::Utility::enum_to_string
std::string enum_to_string(const T e)
libMesh::RATIONAL_BERNSTEIN
@ RATIONAL_BERNSTEIN
Definition enum_fe_family.h:69

◆ build() [2/3]

std::unique_ptr< FEGenericBase< RealGradient > > libMesh::FEGenericBase< RealGradient >::build ( const unsigned int  dim,
const FEType &  fet 
)
inherited

Definition at line 413 of file fe_base.C.

415{
416 switch (dim)
417 {
418 // 0D
419 case 0:
420 {
421 switch (fet.family)
422 {
423 case HIERARCHIC_VEC:
424 return std::make_unique<FEHierarchicVec<0>>(fet);
425
426 case L2_HIERARCHIC_VEC:
427 return std::make_unique<FEL2HierarchicVec<0>>(fet);
428
429 case LAGRANGE_VEC:
430 return std::make_unique<FELagrangeVec<0>>(fet);
431
432 case L2_LAGRANGE_VEC:
433 return std::make_unique<FEL2LagrangeVec<0>>(fet);
434
435 case MONOMIAL_VEC:
436 return std::make_unique<FEMonomialVec<0>>(fet);
437
438 default:
439 libmesh_error_msg("ERROR: Bad FEType.family == " << Utility::enum_to_string(fet.family));
440 }
441 }
442 case 1:
443 {
444 switch (fet.family)
445 {
446 case HIERARCHIC_VEC:
447 return std::make_unique<FEHierarchicVec<1>>(fet);
448
449 case L2_HIERARCHIC_VEC:
450 return std::make_unique<FEL2HierarchicVec<1>>(fet);
451
452 case LAGRANGE_VEC:
453 return std::make_unique<FELagrangeVec<1>>(fet);
454
455 case L2_LAGRANGE_VEC:
456 return std::make_unique<FEL2LagrangeVec<1>>(fet);
457
458 case MONOMIAL_VEC:
459 return std::make_unique<FEMonomialVec<1>>(fet);
460
461 default:
462 libmesh_error_msg("ERROR: Bad FEType.family == " << Utility::enum_to_string(fet.family));
463 }
464 }
465 case 2:
466 {
467 switch (fet.family)
468 {
469 case HIERARCHIC_VEC:
470 return std::make_unique<FEHierarchicVec<2>>(fet);
471
472 case L2_HIERARCHIC_VEC:
473 return std::make_unique<FEL2HierarchicVec<2>>(fet);
474
475 case LAGRANGE_VEC:
476 return std::make_unique<FELagrangeVec<2>>(fet);
477
478 case L2_LAGRANGE_VEC:
479 return std::make_unique<FEL2LagrangeVec<2>>(fet);
480
481 case MONOMIAL_VEC:
482 return std::make_unique<FEMonomialVec<2>>(fet);
483
484 case NEDELEC_ONE:
485 return std::make_unique<FENedelecOne<2>>(fet);
486
487 case RAVIART_THOMAS:
488 return std::make_unique<FERaviartThomas<2>>(fet);
489
490 case L2_RAVIART_THOMAS:
491 return std::make_unique<FEL2RaviartThomas<2>>(fet);
492
493 default:
494 libmesh_error_msg("ERROR: Bad FEType.family == " << Utility::enum_to_string(fet.family));
495 }
496 }
497 case 3:
498 {
499 switch (fet.family)
500 {
501 case HIERARCHIC_VEC:
502 return std::make_unique<FEHierarchicVec<3>>(fet);
503
504 case L2_HIERARCHIC_VEC:
505 return std::make_unique<FEL2HierarchicVec<3>>(fet);
506
507 case LAGRANGE_VEC:
508 return std::make_unique<FELagrangeVec<3>>(fet);
509
510 case L2_LAGRANGE_VEC:
511 return std::make_unique<FEL2LagrangeVec<3>>(fet);
512
513 case MONOMIAL_VEC:
514 return std::make_unique<FEMonomialVec<3>>(fet);
515
516 case NEDELEC_ONE:
517 return std::make_unique<FENedelecOne<3>>(fet);
518
519 case RAVIART_THOMAS:
520 return std::make_unique<FERaviartThomas<3>>(fet);
521
522 case L2_RAVIART_THOMAS:
523 return std::make_unique<FEL2RaviartThomas<3>>(fet);
524
525 default:
526 libmesh_error_msg("ERROR: Bad FEType.family == " << Utility::enum_to_string(fet.family));
527 }
528 }
529
530 default:
531 libmesh_error_msg("Invalid dimension dim = " << dim);
532 } // switch(dim)
533}
libMesh::L2_RAVIART_THOMAS
@ L2_RAVIART_THOMAS
Definition enum_fe_family.h:64
libMesh::L2_HIERARCHIC_VEC
@ L2_HIERARCHIC_VEC
Definition enum_fe_family.h:67

References dim, libMesh::Utility::enum_to_string(), libMesh::FEType::family, libMesh::HIERARCHIC_VEC, libMesh::L2_HIERARCHIC_VEC, libMesh::L2_LAGRANGE_VEC, libMesh::L2_RAVIART_THOMAS, libMesh::LAGRANGE_VEC, libMesh::MONOMIAL_VEC, libMesh::NEDELEC_ONE, and libMesh::RAVIART_THOMAS.

◆ build() [3/3]

template<typename OutputType >
static std::unique_ptr< FEGenericBase > libMesh::FEGenericBase< OutputType >::build ( const unsigned int  dim,
const FEType &  type 
)
staticinherited

Builds a specific finite element type.

A std::unique_ptr<FEGenericBase> is returned to prevent a memory leak. This way the user need not remember to delete the object.

The build call will fail if the OutputType of this class is not compatible with the output required for the requested type

Referenced by libMesh::ExactSolution::_compute_error(), libMesh::UniformRefinementEstimator::_estimate_error(), libMesh::MeshFunction::_gradient_on_elem(), alternative_fe_assembly(), LinearElasticity::assemble(), assemble(), assemble(), assemble_1D(), AssembleOptimization::assemble_A_and_F(), libMesh::ClawSystem::assemble_advection_matrices(), libMesh::ClawSystem::assemble_avg_coupling_matrices(), assemble_biharmonic(), libMesh::ClawSystem::assemble_boundary_condition_matrices(), assemble_cd(), assemble_cd(), assemble_divgrad(), assemble_elasticity(), assemble_ellipticdg(), assemble_func(), assemble_graddiv(), assemble_helmholtz(), libMesh::ClawSystem::assemble_jump_coupling_matrix(), assemble_laplace(), assemble_mass(), libMesh::ClawSystem::assemble_mass_matrix(), assemble_matrices(), assemble_poisson(), assemble_poisson(), assemble_poisson(), assemble_SchroedingerEquation(), assemble_shell(), assemble_shell(), assemble_stokes(), assemble_temperature_jump(), assemble_wave(), assemble_wave(), Biharmonic::JR::bounds(), libMesh::FEMContext::cached_fe(), libMesh::FEInterface::compute_data(), compute_enriched_soln(), compute_jacobian(), compute_residual(), LinearElasticity::compute_stresses(), LargeDeformationElasticity::compute_stresses(), LinearElasticityWithContact::compute_stresses(), compute_stresses(), libMesh::ExactErrorEstimator::estimate_error(), fe_assembly(), form_functionA(), form_functionB(), form_matrixA(), libMesh::MeshFunction::hessian(), libMesh::InfFE< Dim, T_radial, T_map >::InfFE(), libMesh::InfFE< Dim, T_radial, T_map >::init_face_shape_functions(), integrate_function(), LargeDeformationElasticity::jacobian(), LaplaceYoung::jacobian(), libMesh::LIBMESH_DEFAULT_VECTORIZED_FE(), libMesh::LIBMESH_DEFAULT_VECTORIZED_FE(), main(), libMesh::PatchRecoveryErrorEstimator::EstimateError::operator()(), libMesh::SmoothnessEstimator::EstimateSmoothness::operator()(), libMesh::WeightedPatchRecoveryErrorEstimator::EstimateError::operator()(), OverlappingCouplingFunctor::operator()(), libMesh::MeshFunction::operator()(), periodic_bc_test_poisson(), libMesh::InfFE< Dim, T_radial, T_map >::reinit(), LargeDeformationElasticity::residual(), LaplaceYoung::residual(), LinearElasticityWithContact::residual_and_jacobian(), Biharmonic::JR::residual_and_jacobian(), libMesh::HPCoarsenTest::select_refinement(), DualShapeTest::setUp(), RationalMapTest< elem_type >::setUp(), FETestBase< order, family, elem_type, build_nx, CaseName >::setUp(), libMesh::Elem::side_vertex_average_normal(), SideVertexAverageNormalTest::testC0Polygon(), FETest< order, family, elem_type, CaseName >::testCustomReinit(), SideVertexAverageNormalTest::testEdge3(), SideVertexAverageNormalTest::testHexes(), InfFERadialTest::testRefinement(), InfFERadialTest::testSides(), libMesh::Elem::true_centroid(), and libMesh::Elem::volume().

◆ build_InfFE() [1/3]

std::unique_ptr< FEGenericBase< Real > > libMesh::FEGenericBase< Real >::build_InfFE ( const unsigned int  dim,
const FEType &  fet 
)
inherited

Definition at line 546 of file fe_base.C.

548{
549 switch (dim)
550 {
551
552 // 1D
553 case 1:
554 {
555 switch (fet.radial_family)
556 {
557 case INFINITE_MAP:
558 libmesh_error_msg("ERROR: Can't build an infinite element with FEFamily = " << Utility::enum_to_string(fet.radial_family));
559
560 case JACOBI_20_00:
561 {
562 switch (fet.inf_map)
563 {
564 case CARTESIAN:
565 return std::make_unique<InfFE<1,JACOBI_20_00,CARTESIAN>>(fet);
566
567 default:
568 libmesh_error_msg("ERROR: Can't build an infinite element with InfMapType = " << Utility::enum_to_string(fet.inf_map));
569 }
570 }
571
572 case JACOBI_30_00:
573 {
574 switch (fet.inf_map)
575 {
576 case CARTESIAN:
577 return std::make_unique<InfFE<1,JACOBI_30_00,CARTESIAN>>(fet);
578
579 default:
580 libmesh_error_msg("ERROR: Can't build an infinite element with InfMapType = " << Utility::enum_to_string(fet.inf_map));
581 }
582 }
583
584 case LEGENDRE:
585 {
586 switch (fet.inf_map)
587 {
588 case CARTESIAN:
589 return std::make_unique<InfFE<1,LEGENDRE,CARTESIAN>>(fet);
590
591 default:
592 libmesh_error_msg("ERROR: Can't build an infinite element with InfMapType = " << Utility::enum_to_string(fet.inf_map));
593 }
594 }
595
596 case LAGRANGE:
597 {
598 switch (fet.inf_map)
599 {
600 case CARTESIAN:
601 return std::make_unique<InfFE<1,LAGRANGE,CARTESIAN>>(fet);
602
603 default:
604 libmesh_error_msg("ERROR: Can't build an infinite element with InfMapType = " << Utility::enum_to_string(fet.inf_map));
605 }
606 }
607
608 default:
609 libmesh_error_msg("ERROR: Bad FEType.radial_family= " << Utility::enum_to_string(fet.radial_family));
610 }
611 }
612
613
614
615
616 // 2D
617 case 2:
618 {
619 switch (fet.radial_family)
620 {
621 case INFINITE_MAP:
622 libmesh_error_msg("ERROR: Can't build an infinite element with FEFamily = " << Utility::enum_to_string(fet.radial_family));
623
624 case JACOBI_20_00:
625 {
626 switch (fet.inf_map)
627 {
628 case CARTESIAN:
629 return std::make_unique<InfFE<2,JACOBI_20_00,CARTESIAN>>(fet);
630
631 default:
632 libmesh_error_msg("ERROR: Don't build an infinite element with InfMapType = " << Utility::enum_to_string(fet.inf_map));
633 }
634 }
635
636 case JACOBI_30_00:
637 {
638 switch (fet.inf_map)
639 {
640 case CARTESIAN:
641 return std::make_unique<InfFE<2,JACOBI_30_00,CARTESIAN>>(fet);
642
643 default:
644 libmesh_error_msg("ERROR: Don't build an infinite element with InfMapType = " << Utility::enum_to_string(fet.inf_map));
645 }
646 }
647
648 case LEGENDRE:
649 {
650 switch (fet.inf_map)
651 {
652 case CARTESIAN:
653 return std::make_unique<InfFE<2,LEGENDRE,CARTESIAN>>(fet);
654
655 default:
656 libmesh_error_msg("ERROR: Don't build an infinite element with InfMapType = " << Utility::enum_to_string(fet.inf_map));
657 }
658 }
659
660 case LAGRANGE:
661 {
662 switch (fet.inf_map)
663 {
664 case CARTESIAN:
665 return std::make_unique<InfFE<2,LAGRANGE,CARTESIAN>>(fet);
666
667 default:
668 libmesh_error_msg("ERROR: Don't build an infinite element with InfMapType = " << Utility::enum_to_string(fet.inf_map));
669 }
670 }
671
672 default:
673 libmesh_error_msg("ERROR: Bad FEType.radial_family= " << Utility::enum_to_string(fet.radial_family));
674 }
675 }
676
677
678
679
680 // 3D
681 case 3:
682 {
683 switch (fet.radial_family)
684 {
685 case INFINITE_MAP:
686 libmesh_error_msg("ERROR: Don't build an infinite element with FEFamily = " << Utility::enum_to_string(fet.radial_family));
687
688 case JACOBI_20_00:
689 {
690 switch (fet.inf_map)
691 {
692 case CARTESIAN:
693 return std::make_unique<InfFE<3,JACOBI_20_00,CARTESIAN>>(fet);
694
695 default:
696 libmesh_error_msg("ERROR: Don't build an infinite element with InfMapType = " << Utility::enum_to_string(fet.inf_map));
697 }
698 }
699
700 case JACOBI_30_00:
701 {
702 switch (fet.inf_map)
703 {
704 case CARTESIAN:
705 return std::make_unique<InfFE<3,JACOBI_30_00,CARTESIAN>>(fet);
706
707 default:
708 libmesh_error_msg("ERROR: Don't build an infinite element with InfMapType = " << Utility::enum_to_string(fet.inf_map));
709 }
710 }
711
712 case LEGENDRE:
713 {
714 switch (fet.inf_map)
715 {
716 case CARTESIAN:
717 return std::make_unique<InfFE<3,LEGENDRE,CARTESIAN>>(fet);
718
719 default:
720 libmesh_error_msg("ERROR: Don't build an infinite element with InfMapType = " << Utility::enum_to_string(fet.inf_map));
721 }
722 }
723
724 case LAGRANGE:
725 {
726 switch (fet.inf_map)
727 {
728 case CARTESIAN:
729 return std::make_unique<InfFE<3,LAGRANGE,CARTESIAN>>(fet);
730
731 default:
732 libmesh_error_msg("ERROR: Don't build an infinite element with InfMapType = " << Utility::enum_to_string(fet.inf_map));
733 }
734 }
735
736 default:
737 libmesh_error_msg("ERROR: Bad FEType.radial_family= " << Utility::enum_to_string(fet.radial_family));
738 }
739 }
740
741 default:
742 libmesh_error_msg("Invalid dimension dim = " << dim);
743 }
744}

References dim, libMesh::Utility::enum_to_string(), libMesh::INFINITE_MAP, libMesh::JACOBI_20_00, and libMesh::FEType::radial_family.

◆ build_InfFE() [2/3]

template<typename OutputType >
static std::unique_ptr< FEGenericBase > libMesh::FEGenericBase< OutputType >::build_InfFE ( const unsigned int  dim,
const FEType &  type 
)
staticinherited

Builds a specific infinite element type.

A std::unique_ptr<FEGenericBase> is returned to prevent a memory leak. This way the user need not remember to delete the object.

The build call will fail if the OutputShape of this class is not compatible with the output required for the requested type

Referenced by assemble_func(), assemble_SchroedingerEquation(), assemble_wave(), libMesh::FEMContext::cached_fe(), libMesh::InfFE< Dim, T_radial, T_map >::compute_data(), InfFERadialTest::testInfQuants(), InfFERadialTest::testInfQuants_numericDeriv(), InfFERadialTest::testRefinement(), InfFERadialTest::testSides(), and InfFERadialTest::testSingleOrder().

◆ build_InfFE() [3/3]

std::unique_ptr< FEGenericBase< RealGradient > > libMesh::FEGenericBase< RealGradient >::build_InfFE ( const unsigned int  ,
const FEType &   
)
inherited

Definition at line 750 of file fe_base.C.

752{
753 // No vector types defined... YET.
754 libmesh_not_implemented();
755 return std::unique_ptr<FEVectorBase>();
756}

◆ calculating_nothing()

template<typename OutputType >
bool libMesh::FEGenericBase< OutputType >::calculating_nothing ( ) const
inlineprotectedinherited
Returns
true iff no calculations have been requested of this FE object or of its associated FEMap

Definition at line 568 of file fe_base.h.

569 {
570 return calculate_nothing &&
571 !this->calculate_phi && !this->calculate_dphi &&
572#ifdef LIBMESH_ENABLE_SECOND_DERIVATIVES
573 !this->calculate_d2phi &&
574#endif
575 !this->calculate_curl_phi && !this->calculate_div_phi &&
576 !this->calculate_map;
577 }
libMesh::FEAbstract::calculate_map
bool calculate_map
Are we calculating mapping functions?
Definition fe_abstract.h:686
libMesh::FEAbstract::calculate_nothing
bool calculate_nothing
Are we potentially deliberately calculating nothing?
Definition fe_abstract.h:681
libMesh::FEAbstract::calculate_d2phi
bool calculate_d2phi
Should we calculate shape function hessians?
Definition fe_abstract.h:702
libMesh::FEAbstract::calculate_phi
bool calculate_phi
Should we calculate shape functions?
Definition fe_abstract.h:691
libMesh::FEAbstract::calculate_dphi
bool calculate_dphi
Should we calculate shape function gradients?
Definition fe_abstract.h:696
libMesh::FEAbstract::calculate_curl_phi
bool calculate_curl_phi
Should we calculate shape function curls?
Definition fe_abstract.h:712
libMesh::FEAbstract::calculate_div_phi
bool calculate_div_phi
Should we calculate shape function divergences?
Definition fe_abstract.h:717

References libMesh::FEAbstract::calculate_curl_phi, libMesh::FEAbstract::calculate_d2phi, libMesh::FEAbstract::calculate_div_phi, libMesh::FEAbstract::calculate_dphi, libMesh::FEAbstract::calculate_map, libMesh::FEAbstract::calculate_nothing, and libMesh::FEAbstract::calculate_phi.

◆ coarsened_dof_values() [1/2]

template<typename OutputType >
void libMesh::FEGenericBase< OutputType >::coarsened_dof_values ( const NumericVector< Number > &  global_vector,
const DofMap &  dof_map,
const Elem *  coarse_elem,
DenseVector< Number > &  coarse_dofs,
const bool  use_old_dof_indices = false 
)
staticinherited

Creates a local projection on coarse_elem, based on the DoF values in global_vector for it's children.

Computes a vector of coefficients corresponding to all dof_indices.

Definition at line 1511 of file fe_base.C.

1516{
1517 Ue.resize(0);
1518
1519 for (auto v : make_range(dof_map.n_variables()))
1520 {
1521 DenseVector<Number> Usub;
1522
1523 coarsened_dof_values(old_vector, dof_map, elem, Usub,
1524 v, use_old_dof_indices);
1525
1526 Ue.append (Usub);
1527 }
1528}
libMesh::DenseVector
Defines a dense vector for use in Finite Element-type computations.
Definition dense_vector.h:59
libMesh::FEGenericBase::coarsened_dof_values
static void coarsened_dof_values(const NumericVector< Number > &global_vector, const DofMap &dof_map, const Elem *coarse_elem, DenseVector< Number > &coarse_dofs, const unsigned int var, const bool use_old_dof_indices=false)
Creates a local projection on coarse_elem, based on the DoF values in global_vector for it's children...
Definition fe_base.C:976
libMesh::make_range
IntRange< T > make_range(T beg, T end)
The 2-parameter make_range() helper function returns an IntRange<T> when both input parameters are of...
Definition int_range.h:176

References libMesh::DenseVector< T >::append(), libMesh::make_range(), libMesh::DofMap::n_variables(), and libMesh::DenseVector< T >::resize().

◆ coarsened_dof_values() [2/2]

template<typename OutputType >
void libMesh::FEGenericBase< OutputType >::coarsened_dof_values ( const NumericVector< Number > &  global_vector,
const DofMap &  dof_map,
const Elem *  coarse_elem,
DenseVector< Number > &  coarse_dofs,
const unsigned int  var,
const bool  use_old_dof_indices = false 
)
staticinherited

Creates a local projection on coarse_elem, based on the DoF values in global_vector for it's children.

Computes a vector of coefficients corresponding to dof_indices for only the single given var

Definition at line 976 of file fe_base.C.

982{
983 // Side/edge local DOF indices
984 std::vector<unsigned int> new_side_dofs, old_side_dofs;
985
986 // FIXME: what about 2D shells in 3D space?
987 unsigned int dim = elem->dim();
988
989 // Cache n_children(); it's a virtual call but it's const.
990 const unsigned int n_children = elem->n_children();
991
992 // We use local FE objects for now
993 // FIXME: we should use more, external objects instead for efficiency
994 const FEType & base_fe_type = dof_map.variable_type(var);
995 std::unique_ptr<FEGenericBase<OutputShape>> fe
996 (FEGenericBase<OutputShape>::build(dim, base_fe_type));
997 std::unique_ptr<FEGenericBase<OutputShape>> fe_coarse
998 (FEGenericBase<OutputShape>::build(dim, base_fe_type));
999
1000 std::unique_ptr<QBase> qrule (base_fe_type.default_quadrature_rule(dim));
1001 std::unique_ptr<QBase> qedgerule (base_fe_type.default_quadrature_rule(1));
1002 std::unique_ptr<QBase> qsiderule (base_fe_type.default_quadrature_rule(dim-1));
1003 std::vector<Point> coarse_qpoints;
1004
1005 // The values of the shape functions at the quadrature
1006 // points
1007 const std::vector<std::vector<OutputShape>> & phi_values =
1008 fe->get_phi();
1009 const std::vector<std::vector<OutputShape>> & phi_coarse =
1010 fe_coarse->get_phi();
1011
1012 // The gradients of the shape functions at the quadrature
1013 // points on the child element.
1014 const std::vector<std::vector<OutputGradient>> * dphi_values =
1015 nullptr;
1016 const std::vector<std::vector<OutputGradient>> * dphi_coarse =
1017 nullptr;
1018
1019 const FEContinuity cont = fe->get_continuity();
1020
1021 if (cont == C_ONE)
1022 {
1023 const std::vector<std::vector<OutputGradient>> &
1024 ref_dphi_values = fe->get_dphi();
1025 dphi_values = &ref_dphi_values;
1026 const std::vector<std::vector<OutputGradient>> &
1027 ref_dphi_coarse = fe_coarse->get_dphi();
1028 dphi_coarse = &ref_dphi_coarse;
1029 }
1030
1031 // The Jacobian * quadrature weight at the quadrature points
1032 const std::vector<Real> & JxW =
1033 fe->get_JxW();
1034
1035 // The XYZ locations of the quadrature points on the
1036 // child element
1037 const std::vector<Point> & xyz_values =
1038 fe->get_xyz();
1039
1040 // Number of nodes on parent element
1041 const unsigned int n_nodes = elem->n_nodes();
1042
1043 // Number of dofs on parent element
1044 const unsigned int new_n_dofs =
1045 FEInterface::n_dofs(base_fe_type, elem->max_descendant_p_level(), elem);
1046
1047 // Fixed vs. free DoFs on edge/face projections
1048 std::vector<char> dof_is_fixed(new_n_dofs, false); // bools
1049 std::vector<int> free_dof(new_n_dofs, 0);
1050
1051 DenseMatrix<Real> Ke;
1052 DenseVector<Number> Fe;
1053 Ue.resize(new_n_dofs); Ue.zero();
1054
1055
1056 // When coarsening, in general, we need a series of
1057 // projections to ensure a unique and continuous
1058 // solution. We start by interpolating nodes, then
1059 // hold those fixed and project edges, then
1060 // hold those fixed and project faces, then
1061 // hold those fixed and project interiors
1062
1063 // Copy node values first
1064 {
1065 std::vector<dof_id_type> node_dof_indices;
1066 if (use_old_dof_indices)
1067 dof_map.old_dof_indices (elem, node_dof_indices, var);
1068 else
1069 dof_map.dof_indices (elem, node_dof_indices, var);
1070
1071 unsigned int current_dof = 0;
1072 for (unsigned int n=0; n!= n_nodes; ++n)
1073 {
1074 // FIXME: this should go through the DofMap,
1075 // not duplicate dof_indices code badly!
1076 const unsigned int my_nc =
1077 FEInterface::n_dofs_at_node (base_fe_type, elem->max_descendant_p_level(), elem, n);
1078 if (!elem->is_vertex(n))
1079 {
1080 current_dof += my_nc;
1081 continue;
1082 }
1083
1084 // We're assuming here that child n shares vertex n,
1085 // which is wrong on non-simplices right now
1086 // ... but this code isn't necessary except on elements
1087 // where p refinement creates more vertex dofs; we have
1088 // no such elements yet.
1089 int extra_order = 0;
1090 // if (elem->child_ptr(n)->p_level() < elem->p_level())
1091 // extra_order = elem->child_ptr(n)->p_level();
1092 const unsigned int nc =
1093 FEInterface::n_dofs_at_node (base_fe_type, extra_order, elem, n);
1094 for (unsigned int i=0; i!= nc; ++i)
1095 {
1096 Ue(current_dof) =
1097 old_vector(node_dof_indices[current_dof]);
1098 dof_is_fixed[current_dof] = true;
1099 current_dof++;
1100 }
1101 }
1102 }
1103
1104 FEType fe_type = base_fe_type, temp_fe_type;
1105 fe_type.order = fe_type.order + elem->max_descendant_p_level();
1106
1107 // In 3D, project any edge values next
1108 if (dim > 2 && cont != DISCONTINUOUS)
1109 for (auto e : elem->edge_index_range())
1110 {
1111 FEInterface::dofs_on_edge(elem, dim, fe_type,
1112 e, new_side_dofs);
1113
1114 const unsigned int n_new_side_dofs =
1115 cast_int<unsigned int>(new_side_dofs.size());
1116
1117 // Some edge dofs are on nodes and already
1118 // fixed, others are free to calculate
1119 unsigned int free_dofs = 0;
1120 for (unsigned int i=0; i != n_new_side_dofs; ++i)
1121 if (!dof_is_fixed[new_side_dofs[i]])
1122 free_dof[free_dofs++] = i;
1123 Ke.resize (free_dofs, free_dofs); Ke.zero();
1124 Fe.resize (free_dofs); Fe.zero();
1125 // The new edge coefficients
1126 DenseVector<Number> Uedge(free_dofs);
1127
1128 // Add projection terms from each child sharing
1129 // this edge
1130 for (unsigned int c=0; c != n_children; ++c)
1131 {
1132 if (!elem->is_child_on_edge(c,e))
1133 continue;
1134 const Elem * child = elem->child_ptr(c);
1135
1136 std::vector<dof_id_type> child_dof_indices;
1137 if (use_old_dof_indices)
1138 dof_map.old_dof_indices (child,
1139 child_dof_indices, var);
1140 else
1141 dof_map.dof_indices (child,
1142 child_dof_indices, var);
1143 const unsigned int child_n_dofs =
1144 cast_int<unsigned int>
1145 (child_dof_indices.size());
1146
1147 temp_fe_type = base_fe_type;
1148 temp_fe_type.order = temp_fe_type.order + child->p_level();
1149
1150 FEInterface::dofs_on_edge(child, dim,
1151 temp_fe_type, e, old_side_dofs);
1152
1153 // Initialize both child and parent FE data
1154 // on the child's edge
1155 fe->attach_quadrature_rule (qedgerule.get());
1156 fe->edge_reinit (child, e);
1157 const unsigned int n_qp = qedgerule->n_points();
1158
1159 FEMap::inverse_map (dim, elem, xyz_values,
1160 coarse_qpoints);
1161
1162 fe_coarse->reinit(elem, &coarse_qpoints);
1163
1164 // Loop over the quadrature points
1165 for (unsigned int qp=0; qp<n_qp; qp++)
1166 {
1167 // solution value at the quadrature point
1168 OutputNumber fineval = libMesh::zero;
1169 // solution grad at the quadrature point
1170 OutputNumberGradient finegrad;
1171
1172 // Sum the solution values * the DOF
1173 // values at the quadrature point to
1174 // get the solution value and gradient.
1175 for (unsigned int i=0; i<child_n_dofs;
1176 i++)
1177 {
1178 fineval +=
1179 (old_vector(child_dof_indices[i])*
1180 phi_values[i][qp]);
1181 if (cont == C_ONE)
1182 finegrad += (*dphi_values)[i][qp] *
1183 old_vector(child_dof_indices[i]);
1184 }
1185
1186 // Form edge projection matrix
1187 for (unsigned int sidei=0, freei=0; sidei != n_new_side_dofs; ++sidei)
1188 {
1189 unsigned int i = new_side_dofs[sidei];
1190 // fixed DoFs aren't test functions
1191 if (dof_is_fixed[i])
1192 continue;
1193 for (unsigned int sidej=0, freej=0; sidej != n_new_side_dofs; ++sidej)
1194 {
1195 unsigned int j =
1196 new_side_dofs[sidej];
1197 if (dof_is_fixed[j])
1198 Fe(freei) -=
1199 TensorTools::inner_product(phi_coarse[i][qp],
1200 phi_coarse[j][qp]) *
1201 JxW[qp] * Ue(j);
1202 else
1203 Ke(freei,freej) +=
1204 TensorTools::inner_product(phi_coarse[i][qp],
1205 phi_coarse[j][qp]) *
1206 JxW[qp];
1207 if (cont == C_ONE)
1208 {
1209 if (dof_is_fixed[j])
1210 Fe(freei) -=
1211 TensorTools::inner_product((*dphi_coarse)[i][qp],
1212 (*dphi_coarse)[j][qp]) *
1213 JxW[qp] * Ue(j);
1214 else
1215 Ke(freei,freej) +=
1216 TensorTools::inner_product((*dphi_coarse)[i][qp],
1217 (*dphi_coarse)[j][qp]) *
1218 JxW[qp];
1219 }
1220 if (!dof_is_fixed[j])
1221 freej++;
1222 }
1223 Fe(freei) += TensorTools::inner_product(phi_coarse[i][qp],
1224 fineval) * JxW[qp];
1225 if (cont == C_ONE)
1226 Fe(freei) +=
1227 TensorTools::inner_product(finegrad, (*dphi_coarse)[i][qp]) * JxW[qp];
1228 freei++;
1229 }
1230 }
1231 }
1232 Ke.cholesky_solve(Fe, Uedge);
1233
1234 // Transfer new edge solutions to element
1235 for (unsigned int i=0; i != free_dofs; ++i)
1236 {
1237 Number & ui = Ue(new_side_dofs[free_dof[i]]);
1238 libmesh_assert(std::abs(ui) < TOLERANCE ||
1239 std::abs(ui - Uedge(i)) < TOLERANCE);
1240 ui = Uedge(i);
1241 dof_is_fixed[new_side_dofs[free_dof[i]]] = true;
1242 }
1243 }
1244
1245 // Project any side values (edges in 2D, faces in 3D)
1246 if (dim > 1 && cont != DISCONTINUOUS)
1247 for (auto s : elem->side_index_range())
1248 {
1249 FEInterface::dofs_on_side(elem, dim, fe_type,
1250 s, new_side_dofs);
1251
1252 const unsigned int n_new_side_dofs =
1253 cast_int<unsigned int>(new_side_dofs.size());
1254
1255 // Some side dofs are on nodes/edges and already
1256 // fixed, others are free to calculate
1257 unsigned int free_dofs = 0;
1258 for (unsigned int i=0; i != n_new_side_dofs; ++i)
1259 if (!dof_is_fixed[new_side_dofs[i]])
1260 free_dof[free_dofs++] = i;
1261 Ke.resize (free_dofs, free_dofs); Ke.zero();
1262 Fe.resize (free_dofs); Fe.zero();
1263 // The new side coefficients
1264 DenseVector<Number> Uside(free_dofs);
1265
1266 // Add projection terms from each child sharing
1267 // this side
1268 for (unsigned int c=0; c != n_children; ++c)
1269 {
1270 if (!elem->is_child_on_side(c,s))
1271 continue;
1272 const Elem * child = elem->child_ptr(c);
1273
1274 std::vector<dof_id_type> child_dof_indices;
1275 if (use_old_dof_indices)
1276 dof_map.old_dof_indices (child,
1277 child_dof_indices, var);
1278 else
1279 dof_map.dof_indices (child,
1280 child_dof_indices, var);
1281 const unsigned int child_n_dofs =
1282 cast_int<unsigned int>
1283 (child_dof_indices.size());
1284
1285 temp_fe_type = base_fe_type;
1286 temp_fe_type.order = temp_fe_type.order + child->p_level();
1287
1288 FEInterface::dofs_on_side(child, dim,
1289 temp_fe_type, s, old_side_dofs);
1290
1291 // Initialize both child and parent FE data
1292 // on the child's side
1293 fe->attach_quadrature_rule (qsiderule.get());
1294 fe->reinit (child, s);
1295 const unsigned int n_qp = qsiderule->n_points();
1296
1297 FEMap::inverse_map (dim, elem, xyz_values,
1298 coarse_qpoints);
1299
1300 fe_coarse->reinit(elem, &coarse_qpoints);
1301
1302 // Loop over the quadrature points
1303 for (unsigned int qp=0; qp<n_qp; qp++)
1304 {
1305 // solution value at the quadrature point
1306 OutputNumber fineval = libMesh::zero;
1307 // solution grad at the quadrature point
1308 OutputNumberGradient finegrad;
1309
1310 // Sum the solution values * the DOF
1311 // values at the quadrature point to
1312 // get the solution value and gradient.
1313 for (unsigned int i=0; i<child_n_dofs;
1314 i++)
1315 {
1316 fineval +=
1317 old_vector(child_dof_indices[i]) *
1318 phi_values[i][qp];
1319 if (cont == C_ONE)
1320 finegrad += (*dphi_values)[i][qp] *
1321 old_vector(child_dof_indices[i]);
1322 }
1323
1324 // Form side projection matrix
1325 for (unsigned int sidei=0, freei=0; sidei != n_new_side_dofs; ++sidei)
1326 {
1327 unsigned int i = new_side_dofs[sidei];
1328 // fixed DoFs aren't test functions
1329 if (dof_is_fixed[i])
1330 continue;
1331 for (unsigned int sidej=0, freej=0; sidej != n_new_side_dofs; ++sidej)
1332 {
1333 unsigned int j =
1334 new_side_dofs[sidej];
1335 if (dof_is_fixed[j])
1336 Fe(freei) -=
1337 TensorTools::inner_product(phi_coarse[i][qp],
1338 phi_coarse[j][qp]) *
1339 JxW[qp] * Ue(j);
1340 else
1341 Ke(freei,freej) +=
1342 TensorTools::inner_product(phi_coarse[i][qp],
1343 phi_coarse[j][qp]) *
1344 JxW[qp];
1345 if (cont == C_ONE)
1346 {
1347 if (dof_is_fixed[j])
1348 Fe(freei) -=
1349 TensorTools::inner_product((*dphi_coarse)[i][qp],
1350 (*dphi_coarse)[j][qp]) *
1351 JxW[qp] * Ue(j);
1352 else
1353 Ke(freei,freej) +=
1354 TensorTools::inner_product((*dphi_coarse)[i][qp],
1355 (*dphi_coarse)[j][qp]) *
1356 JxW[qp];
1357 }
1358 if (!dof_is_fixed[j])
1359 freej++;
1360 }
1361 Fe(freei) += TensorTools::inner_product(fineval, phi_coarse[i][qp]) * JxW[qp];
1362 if (cont == C_ONE)
1363 Fe(freei) +=
1364 TensorTools::inner_product(finegrad, (*dphi_coarse)[i][qp]) * JxW[qp];
1365 freei++;
1366 }
1367 }
1368 }
1369 Ke.cholesky_solve(Fe, Uside);
1370
1371 // Transfer new side solutions to element
1372 for (unsigned int i=0; i != free_dofs; ++i)
1373 {
1374 Number & ui = Ue(new_side_dofs[free_dof[i]]);
1375 libmesh_assert(std::abs(ui) < TOLERANCE ||
1376 std::abs(ui - Uside(i)) < TOLERANCE);
1377 ui = Uside(i);
1378 dof_is_fixed[new_side_dofs[free_dof[i]]] = true;
1379 }
1380 }
1381
1382 // Project the interior values, finally
1383
1384 // Some interior dofs are on nodes/edges/sides and
1385 // already fixed, others are free to calculate
1386 unsigned int free_dofs = 0;
1387 for (unsigned int i=0; i != new_n_dofs; ++i)
1388 if (!dof_is_fixed[i])
1389 free_dof[free_dofs++] = i;
1390 Ke.resize (free_dofs, free_dofs); Ke.zero();
1391 Fe.resize (free_dofs); Fe.zero();
1392 // The new interior coefficients
1393 DenseVector<Number> Uint(free_dofs);
1394
1395 // Add projection terms from each child
1396 for (auto & child : elem->child_ref_range())
1397 {
1398 std::vector<dof_id_type> child_dof_indices;
1399 if (use_old_dof_indices)
1400 dof_map.old_dof_indices (&child,
1401 child_dof_indices, var);
1402 else
1403 dof_map.dof_indices (&child,
1404 child_dof_indices, var);
1405 const unsigned int child_n_dofs =
1406 cast_int<unsigned int>
1407 (child_dof_indices.size());
1408
1409 // Initialize both child and parent FE data
1410 // on the child's quadrature points
1411 fe->attach_quadrature_rule (qrule.get());
1412 fe->reinit (&child);
1413 const unsigned int n_qp = qrule->n_points();
1414
1415 FEMap::inverse_map (dim, elem, xyz_values, coarse_qpoints);
1416
1417 fe_coarse->reinit(elem, &coarse_qpoints);
1418
1419 // Loop over the quadrature points
1420 for (unsigned int qp=0; qp<n_qp; qp++)
1421 {
1422 // solution value at the quadrature point
1423 OutputNumber fineval = libMesh::zero;
1424 // solution grad at the quadrature point
1425 OutputNumberGradient finegrad;
1426
1427 // Sum the solution values * the DOF
1428 // values at the quadrature point to
1429 // get the solution value and gradient.
1430 for (unsigned int i=0; i<child_n_dofs; i++)
1431 {
1432 fineval +=
1433 (old_vector(child_dof_indices[i]) *
1434 phi_values[i][qp]);
1435 if (cont == C_ONE)
1436 finegrad += (*dphi_values)[i][qp] *
1437 old_vector(child_dof_indices[i]);
1438 }
1439
1440 // Form interior projection matrix
1441 for (unsigned int i=0, freei=0;
1442 i != new_n_dofs; ++i)
1443 {
1444 // fixed DoFs aren't test functions
1445 if (dof_is_fixed[i])
1446 continue;
1447 for (unsigned int j=0, freej=0; j !=
1448 new_n_dofs; ++j)
1449 {
1450 if (dof_is_fixed[j])
1451 Fe(freei) -=
1452 TensorTools::inner_product(phi_coarse[i][qp],
1453 phi_coarse[j][qp]) *
1454 JxW[qp] * Ue(j);
1455 else
1456 Ke(freei,freej) +=
1457 TensorTools::inner_product(phi_coarse[i][qp],
1458 phi_coarse[j][qp]) *
1459 JxW[qp];
1460 if (cont == C_ONE)
1461 {
1462 if (dof_is_fixed[j])
1463 Fe(freei) -=
1464 TensorTools::inner_product((*dphi_coarse)[i][qp],
1465 (*dphi_coarse)[j][qp]) *
1466 JxW[qp] * Ue(j);
1467 else
1468 Ke(freei,freej) +=
1469 TensorTools::inner_product((*dphi_coarse)[i][qp],
1470 (*dphi_coarse)[j][qp]) *
1471 JxW[qp];
1472 }
1473 if (!dof_is_fixed[j])
1474 freej++;
1475 }
1476 Fe(freei) += TensorTools::inner_product(phi_coarse[i][qp], fineval) *
1477 JxW[qp];
1478 if (cont == C_ONE)
1479 Fe(freei) += TensorTools::inner_product(finegrad, (*dphi_coarse)[i][qp]) * JxW[qp];
1480 freei++;
1481 }
1482 }
1483 }
1484 Ke.cholesky_solve(Fe, Uint);
1485
1486 // Transfer new interior solutions to element
1487 for (unsigned int i=0; i != free_dofs; ++i)
1488 {
1489 Number & ui = Ue(free_dof[i]);
1490 libmesh_assert(std::abs(ui) < TOLERANCE ||
1491 std::abs(ui - Uint(i)) < TOLERANCE);
1492 ui = Uint(i);
1493 // We should be fixing all dofs by now; no need to keep track of
1494 // that unless we're debugging
1495#ifndef NDEBUG
1496 dof_is_fixed[free_dof[i]] = true;
1497#endif
1498 }
1499
1500#ifndef NDEBUG
1501 // Make sure every DoF got reached!
1502 for (unsigned int i=0; i != new_n_dofs; ++i)
1503 libmesh_assert(dof_is_fixed[i]);
1504#endif
1505}
libMesh::DenseMatrix
Defines a dense matrix for use in Finite Element-type computations.
Definition dense_matrix.h:72
libMesh::DenseMatrix::cholesky_solve
void cholesky_solve(const DenseVector< T2 > &b, DenseVector< T2 > &x)
For symmetric positive definite (SPD) matrices.
Definition dense_matrix_impl.h:844
libMesh::DenseMatrix::resize
void resize(const unsigned int new_m, const unsigned int new_n)
Resizes the matrix to the specified size and calls zero().
Definition dense_matrix.h:895
libMesh::DenseMatrix::zero
virtual void zero() override final
Sets all elements of the matrix to 0 and resets any decomposition flag which may have been previously...
Definition dense_matrix.h:911
libMesh::DenseVector::resize
void resize(const unsigned int n)
Resize the vector.
Definition dense_vector.h:396
libMesh::DenseVector::zero
virtual void zero() override final
Set every element in the vector to 0.
Definition dense_vector.h:420
libMesh::DofMap::dof_indices
void dof_indices(const Elem *const elem, std::vector< dof_id_type > &di) const
Definition dof_map.C:2201
libMesh::DofMap::variable_type
const FEType & variable_type(const unsigned int i) const
Definition dof_map.h:2388
libMesh::DofMap::old_dof_indices
void old_dof_indices(const Elem &elem, unsigned int n, std::vector< dof_id_type > &di, const unsigned int vn) const
Appends to the vector di the old global degree of freedom indices for elem.node_ref(n),...
Definition dof_map.C:2478
libMesh::Elem
This is the base class from which all geometric element types are derived.
Definition elem.h:96
libMesh::Elem::child_ptr
const Elem * child_ptr(unsigned int i) const
Definition elem.h:3180
libMesh::Elem::p_level
unsigned int p_level() const
Definition elem.h:3125
libMesh::FEGenericBase
This class forms the foundation from which generic finite elements may be derived.
Definition fe_base.h:86
libMesh::FEGenericBase::OutputNumberGradient
TensorTools::IncrementRank< OutputNumber >::type OutputNumberGradient
Definition fe_base.h:124
libMesh::FEGenericBase::OutputNumber
TensorTools::MakeNumber< OutputShape >::type OutputNumber
Definition fe_base.h:123
libMesh::FEInterface::dofs_on_side
static void dofs_on_side(const Elem *const elem, const unsigned int dim, const FEType &fe_t, unsigned int s, std::vector< unsigned int > &di, const bool add_p_level=true)
Fills the vector di with the local degree of freedom indices associated with side s of element elem A...
Definition fe_interface.C:598
libMesh::FEInterface::n_dofs
static unsigned int n_dofs(const unsigned int dim, const FEType &fe_t, const ElemType t)
Definition fe_interface.C:353
libMesh::FEInterface::n_dofs_at_node
static unsigned int n_dofs_at_node(const unsigned int dim, const FEType &fe_t, const ElemType t, const unsigned int n)
Definition fe_interface.C:437
libMesh::FEInterface::dofs_on_edge
static void dofs_on_edge(const Elem *const elem, const unsigned int dim, const FEType &fe_t, unsigned int e, std::vector< unsigned int > &di, const bool add_p_level=true)
Fills the vector di with the local degree of freedom indices associated with edge e of element elem A...
Definition fe_interface.C:612
libMesh::FEMap::inverse_map
static Point inverse_map(const unsigned int dim, const Elem *elem, const Point &p, const Real tolerance=TOLERANCE, const bool secure=true, const bool extra_checks=true)
Definition fe_map.C:1512
libMesh::FEType
class FEType hides (possibly multiple) FEFamily and approximation orders, thereby enabling specialize...
Definition fe_type.h:197
libMesh::FEType::default_quadrature_rule
std::unique_ptr< QBase > default_quadrature_rule(const unsigned int dim, const int extraorder=0) const
Definition fe_type.C:34
libMesh::FEType::order
OrderWrapper order
The approximation order of the element (at 0 p-refinement level).
Definition fe_type.h:203
libMesh::QBase::n_points
unsigned int n_points() const
Definition quadrature.h:131
libMesh::TensorTools::inner_product
std::enable_if< ScalarTraits< T >::value &&ScalarTraits< T2 >::value, typenameCompareTypes< T, T2 >::supertype >::type inner_product(const T &a, const T2 &b)
Definition tensor_tools.h:51
libMesh::zero
const Number zero
.
Definition libmesh.h:297
libMesh::TOLERANCE
static constexpr Real TOLERANCE
Definition libmesh_common.h:151
n_nodes
const dof_id_type n_nodes
Definition tecplot_io.C:67

References libMesh::C_ONE, libMesh::Elem::child_ptr(), libMesh::Elem::child_ref_range(), libMesh::DenseMatrix< T >::cholesky_solve(), libMesh::FEType::default_quadrature_rule(), dim, libMesh::Elem::dim(), libMesh::DISCONTINUOUS, libMesh::DofMap::dof_indices(), libMesh::FEInterface::dofs_on_edge(), libMesh::FEInterface::dofs_on_side(), libMesh::Elem::edge_index_range(), libMesh::TensorTools::inner_product(), libMesh::FEMap::inverse_map(), libMesh::Elem::is_child_on_edge(), libMesh::Elem::is_child_on_side(), libMesh::Elem::is_vertex(), libMesh::libmesh_assert(), libMesh::Elem::max_descendant_p_level(), libMesh::Elem::n_children(), libMesh::FEInterface::n_dofs(), libMesh::FEInterface::n_dofs_at_node(), libMesh::Elem::n_nodes(), n_nodes, libMesh::DofMap::old_dof_indices(), libMesh::FEType::order, libMesh::Elem::p_level(), libMesh::DenseVector< T >::resize(), libMesh::DenseMatrix< T >::resize(), libMesh::Elem::side_index_range(), libMesh::TOLERANCE, libMesh::DofMap::variable_type(), libMesh::zero, libMesh::DenseMatrix< T >::zero(), and libMesh::DenseVector< T >::zero().

Referenced by libMesh::ExactErrorEstimator::estimate_error(), and libMesh::JumpErrorEstimator::estimate_error().

◆ compute_data()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
void libMesh::InfFE< Dim, T_radial, T_map >::compute_data ( const FEType &  fe_t,
const Elem *  inf_elem,
FEComputeData &  data 
)
static

Generalized version of shape(), takes an Elem *.

The data contains both input and output parameters. For frequency domain simulations, the complex-valued shape is returned. In time domain both the computed shape, and the phase is returned.

Note
The phase (proportional to the distance of the Point data.p from the envelope) is actually a measure how far into the future the results are.

Definition at line 407 of file inf_fe_static.C.

410{
411 libmesh_assert(inf_elem);
412 libmesh_assert_not_equal_to (Dim, 0);
413
414 const Order o_radial (fet.radial_order);
415 const Order radial_mapping_order (InfFERadial::mapping_order());
416 const Point & p (data.p);
417 const Real v (p(Dim-1));
418 std::unique_ptr<const Elem> base_el (inf_elem->build_side_ptr(0));
419
420 /*
421 * compute \p interpolated_dist containing the mapping-interpolated
422 * distance of the base point to the origin. This is the same
423 * for all shape functions. Set \p interpolated_dist to 0, it
424 * is added to.
425 */
426 Real interpolated_dist = 0.;
427 switch (Dim)
428 {
429 case 1:
430 {
431 libmesh_assert_equal_to (inf_elem->type(), INFEDGE2);
432 interpolated_dist = Point(inf_elem->point(0) - inf_elem->point(1)).norm();
433 break;
434 }
435
436 case 2:
437 {
438 const unsigned int n_base_nodes = base_el->n_nodes();
439
440 const Point origin = inf_elem->origin();
441 const Order base_mapping_order (base_el->default_order());
442 const ElemType base_mapping_elem_type (base_el->type());
443
444 // interpolate the base nodes' distances
445 for (unsigned int n=0; n<n_base_nodes; n++)
446 interpolated_dist += Point(base_el->point(n) - origin).norm()
447 * FE<1,LAGRANGE>::shape (base_mapping_elem_type, base_mapping_order, n, p);
448 break;
449 }
450
451 case 3:
452 {
453 const unsigned int n_base_nodes = base_el->n_nodes();
454
455 const Point origin = inf_elem->origin();
456 const Order base_mapping_order (base_el->default_order());
457 const ElemType base_mapping_elem_type (base_el->type());
458
459 // interpolate the base nodes' distances
460 for (unsigned int n=0; n<n_base_nodes; n++)
461 interpolated_dist += Point(base_el->point(n) - origin).norm()
462 * FE<2,LAGRANGE>::shape (base_mapping_elem_type, base_mapping_order, n, p);
463 break;
464 }
465
466 default:
467 libmesh_error_msg("Unknown Dim = " << Dim);
468 }
469
470
471 const Real speed = data.speed;
472
473 //TODO: I find it inconvenient to have a quantity phase which is phase/speed.
474 // But it might be better than redefining a quantities meaning.
475 data.phase = interpolated_dist /* together with next line: */
476 * InfFE<Dim,INFINITE_MAP,T_map>::eval(v, radial_mapping_order, 1)/speed; /* phase(s,t,v)/c */
477
478 // We assume time-harmonic behavior in this function!
479
480#ifdef LIBMESH_USE_COMPLEX_NUMBERS
481 // the wave number
482 const Number wavenumber = 2. * libMesh::pi * data.frequency / speed;
483
484 // the exponent for time-harmonic behavior
485 // \note: this form is much less general than the implementation of dphase, which can be easily extended to
486 // other forms than e^{i kr}.
487 const Number exponent = imaginary /* imaginary unit */
488 * wavenumber /* k (can be complex) */
489 * data.phase*speed;
490
491 const Number time_harmonic = exp(exponent); /* e^(i*k*phase(s,t,v)) */
492#else
493 const Number time_harmonic = 1;
494#endif //LIBMESH_USE_COMPLEX_NUMBERS
495
496 /*
497 * compute \p shape for all dof in the element
498 */
499 if (Dim > 1)
500 {
501 const unsigned int n_dof = n_dofs (fet, inf_elem);
502 data.shape.resize(n_dof);
503 if (data.need_derivative())
504 {
505 data.dshape.resize(n_dof);
506 data.local_transform.resize(Dim);
507
508 for (unsigned int d=0; d<Dim; d++)
509 data.local_transform[d].resize(Dim);
510
511 // compute the reference->physical map at the point \p p.
512 // Use another fe_map to avoid interference with \p this->_fe_map
513 // which is initialized at the quadrature points...
514 auto fe = FEBase::build_InfFE(Dim, fet);
515 std::vector<Point> pt = {p};
516 fe->get_dxidx(); // to compute the map
517 fe->reinit(inf_elem, &pt);
518
519 // compute the reference->physical map.
520 data.local_transform[0][0] = fe->get_dxidx()[0];
521 data.local_transform[1][0] = fe->get_detadx()[0];
522 data.local_transform[1][1] = fe->get_detady()[0];
523 data.local_transform[0][1] = fe->get_dxidy()[0];
524 if (Dim > 2)
525 {
526 data.local_transform[2][0] = fe->get_dzetadx()[0];
527 data.local_transform[2][1] = fe->get_dzetady()[0];
528 data.local_transform[2][2] = fe->get_dzetadz()[0];
529 data.local_transform[1][2] = fe->get_detadz()[0];
530 data.local_transform[0][2] = fe->get_dxidz()[0];
531 }
532 } // endif data.need_derivative()
533
534 for (unsigned int i=0; i<n_dof; i++)
535 {
536 // compute base and radial shape indices
537 unsigned int i_base, i_radial;
538 compute_shape_indices(fet, inf_elem, i, i_base, i_radial);
539
540 data.shape[i] = (InfFERadial::decay(Dim,v) /* (1.-v)/2. in 3D */
541 * FEInterface::shape(fet, base_el.get(), i_base, p) /* S_n(s,t) */
542 * InfFE<Dim,T_radial,T_map>::eval(v, o_radial, i_radial)) /* L_n(v) */
543 * time_harmonic; /* e^(i*k*phase(s,t,v) */
544
545 // use differentiation of the above equation
546 if (data.need_derivative())
547 {
548 data.dshape[i](0) = (InfFERadial::decay(Dim,v)
549 * FEInterface::shape_deriv(fet, base_el.get(), i_base, 0, p)
550 * InfFE<Dim,T_radial,T_map>::eval(v, o_radial, i_radial))
551 * time_harmonic;
552
553 if (Dim > 2)
554 {
555 data.dshape[i](1) = (InfFERadial::decay(Dim,v)
556 * FEInterface::shape_deriv(fet, base_el.get(), i_base, 1, p)
557 * InfFE<Dim,T_radial,T_map>::eval(v, o_radial, i_radial))
558 * time_harmonic;
559
560 }
561 data.dshape[i](Dim-1) = (InfFERadial::decay_deriv(Dim, v) * InfFE<Dim,T_radial,T_map>::eval(v, o_radial, i_radial)
562 +InfFERadial::decay(Dim,v) * InfFE<Dim,T_radial,T_map>::eval_deriv(v, o_radial, i_radial))
563 * FEInterface::shape(fet, base_el.get(), i_base, p) * time_harmonic;
564
565#ifdef LIBMESH_USE_COMPLEX_NUMBERS
566 // derivative of time_harmonic (works for harmonic behavior only):
567 data.dshape[i](Dim-1)+= data.shape[i]*imaginary*wavenumber
568 *interpolated_dist*InfFE<Dim,INFINITE_MAP,T_map>::eval_deriv(v, radial_mapping_order, 1);
569
570#else
571 /*
572 * The gradient in infinite elements is dominated by the contribution due to the oscillating phase.
573 * Since this term is imaginary, I think there is no means to look at it without having complex numbers.
574 */
575 libmesh_not_implemented();
576 // Maybe we can solve it with a warning as well, but I think one really should not do this...
577#endif
578 }
579 }
580 }
581
582 else
583 libmesh_error_msg("compute_data() for 1-dimensional InfFE not implemented.");
584}
libMesh::FEGenericBase::build_InfFE
static std::unique_ptr< FEGenericBase > build_InfFE(const unsigned int dim, const FEType &type)
Builds a specific infinite element type.
libMesh::FEInterface::shape
static Real shape(const unsigned int dim, const FEType &fe_t, const ElemType t, const unsigned int i, const Point &p)
Definition fe_interface.C:761
libMesh::FEInterface::shape_deriv
static Real shape_deriv(const unsigned int dim, const FEType &fe_t, const ElemType t, const unsigned int i, const unsigned int j, const Point &p)
Definition fe_interface.C:1381
libMesh::FE::shape
static OutputShape shape(const ElemType t, const Order o, const unsigned int i, const Point &p)
libMesh::InfFERadial::decay_deriv
static Real decay_deriv(const unsigned int dim, const Real)
Definition inf_fe.h:1292
libMesh::InfFERadial::mapping_order
static Order mapping_order()
Definition inf_fe.h:97
libMesh::InfFERadial::decay
static Real decay(const unsigned int dim, const Real v)
Definition inf_fe.h:1266
libMesh::InfFE::n_dofs
static unsigned int n_dofs(const FEType &fet, const Elem *inf_elem)
Definition inf_fe_static.C:66
libMesh::InfFE::eval
static Real eval(Real v, Order o_radial, unsigned int i)
libMesh::InfFE::eval_deriv
static Real eval_deriv(Real v, Order o_radial, unsigned int i)
libMesh::InfFE::compute_shape_indices
static void compute_shape_indices(const FEType &fet, const ElemType inf_elem_type, const unsigned int i, unsigned int &base_shape, unsigned int &radial_shape)
Definition inf_fe_static.C:1159
libMesh::ElemType
ElemType
Defines an enum for geometric element types.
Definition enum_elem_type.h:33
libMesh::pi
const Real pi
.
Definition libmesh.h:292
libMesh::imaginary
const Number imaginary
The imaginary unit, .
libMesh::Real
DIE A HORRIBLE DEATH HERE typedef LIBMESH_DEFAULT_SCALAR_TYPE Real
Definition libmesh_common.h:144

References libMesh::FEGenericBase< OutputType >::build_InfFE(), libMesh::Elem::build_side_ptr(), libMesh::InfFERadial::decay(), libMesh::InfFERadial::decay_deriv(), libMesh::FEComputeData::dshape, libMesh::InfFE< Dim, T_radial, T_map >::eval(), libMesh::InfFE< Dim, T_radial, T_map >::eval_deriv(), libMesh::FEComputeData::frequency, libMesh::imaginary, libMesh::INFEDGE2, libMesh::libmesh_assert(), libMesh::FEComputeData::local_transform, libMesh::InfFERadial::mapping_order(), libMesh::FEComputeData::need_derivative(), libMesh::TypeVector< T >::norm(), libMesh::Elem::origin(), libMesh::FEComputeData::p, libMesh::FEComputeData::phase, libMesh::pi, libMesh::Elem::point(), libMesh::FEType::radial_order, libMesh::Real, libMesh::FE< Dim, T >::shape(), libMesh::FEComputeData::shape, libMesh::FEInterface::shape(), libMesh::FEInterface::shape_deriv(), libMesh::FEComputeData::speed, and libMesh::Elem::type().

◆ compute_dual_shape_coeffs() [1/3]

void libMesh::FEGenericBase< Real >::compute_dual_shape_coeffs ( const std::vector< Real > &  ,
const std::vector< std::vector< OutputShape > > &   
)
protectedinherited

◆ compute_dual_shape_coeffs() [2/3]

template<typename OutputType >
void libMesh::FEGenericBase< OutputType >::compute_dual_shape_coeffs ( const std::vector< Real > &  JxW,
const std::vector< std::vector< OutputShape > > &  phi 
)
protectedinherited

Compute the dual basis coefficients dual_coeff we rely on the JxW (or weights) and the phi values, which can come from default or customized qrule.

Definition at line 800 of file fe_base.h.

801{
802 libmesh_error_msg(
803 "Computation of dual shape functions for vector finite element "
804 "families is not currently implemented");
805}

◆ compute_dual_shape_coeffs() [3/3]

void libMesh::FEGenericBase< Real >::compute_dual_shape_coeffs ( const std::vector< Real > &  JxW,
const std::vector< std::vector< OutputShape > > &  phi_vals 
)
protectedinherited

Definition at line 804 of file fe_base.C.

805{
806 // Start logging the dual coeff computation
807 LOG_SCOPE("compute_dual_shape_coeffs()", "FE");
808
809 const unsigned int sz=phi_vals.size();
810 libmesh_error_msg_if(!sz, "ERROR: cannot compute dual shape coefficients with empty phi values");
811
812 //compute dual basis coefficient (dual_coeff)
813 dual_coeff.resize(sz, sz);
814 DenseMatrix<Real> A(sz, sz), D(sz, sz);
815
816 for (const auto i : index_range(phi_vals))
817 for (const auto qp : index_range(phi_vals[i]))
818 {
819 D(i,i) += JxW[qp]*phi_vals[i][qp];
820 for (const auto j : index_range(phi_vals))
821 A(i,j) += JxW[qp]*phi_vals[i][qp]*phi_vals[j][qp];
822 }
823
824 // dual_coeff = A^-1*D
825 for (const auto j : index_range(phi_vals))
826 {
827 DenseVector<Real> Dcol(sz), coeffcol(sz);
828 for (const auto i : index_range(phi_vals))
829 Dcol(i) = D(i, j);
830 A.cholesky_solve(Dcol, coeffcol);
831
832 for (const auto row : index_range(phi_vals))
833 dual_coeff(row, j)=coeffcol(row);
834 }
835}
libMesh::FEGenericBase::dual_coeff
DenseMatrix< Real > dual_coeff
Coefficient matrix for the dual basis.
Definition fe_base.h:626
libMesh::index_range
auto index_range(const T &sizable)
Helper function that returns an IntRange<std::size_t> representing all the indices of the passed-in v...
Definition int_range.h:153

References libMesh::index_range().

◆ compute_dual_shape_functions() [1/3]

template<typename OutputType >
void libMesh::FEGenericBase< OutputType >::compute_dual_shape_functions ( )
protectedinherited

Compute dual_phi, dual_dphi, dual_d2phi It is only valid for this to be called after reinit has occurred with a quadrature rule.

Definition at line 792 of file fe_base.h.

793{
794 libmesh_error_msg(
795 "Computation of dual shape functions for vector finite element "
796 "families is not currently implemented");
797}

◆ compute_dual_shape_functions() [2/3]

void libMesh::FEGenericBase< Real >::compute_dual_shape_functions ( )
protectedinherited

◆ compute_dual_shape_functions() [3/3]

void libMesh::FEGenericBase< Real >::compute_dual_shape_functions ( )
protectedinherited

Definition at line 838 of file fe_base.C.

839{
840 // Start logging the shape function computation
841 LOG_SCOPE("compute_dual_shape_functions()", "FE");
842
843 // The dual coeffs matrix should have the same size as phi
844 libmesh_assert(dual_coeff.m() == phi.size());
845 libmesh_assert(dual_coeff.n() == phi.size());
846
847 // initialize dual basis
848 for (const auto j : index_range(phi))
849 for (const auto qp : index_range(phi[j]))
850 {
851 dual_phi[j][qp] = 0;
852 if (calculate_dphi)
853 dual_dphi[j][qp] = 0;
854#ifdef LIBMESH_ENABLE_SECOND_DERIVATIVES
855 if (calculate_d2phi)
856 dual_d2phi[j][qp] = 0;
857#endif
858 }
859
860 // compute dual basis
861 for (const auto j : index_range(phi))
862 for (const auto i : index_range(phi))
863 for (const auto qp : index_range(phi[j]))
864 {
865 dual_phi[j][qp] += dual_coeff(i, j) * phi[i][qp];
866 if (calculate_dphi)
867 dual_dphi[j][qp] += dual_coeff(i, j) * dphi[i][qp];
868#ifdef LIBMESH_ENABLE_SECOND_DERIVATIVES
869 if (calculate_d2phi)
870 dual_d2phi[j][qp] += dual_coeff(i, j) * d2phi[i][qp];
871#endif
872 }
873}
libMesh::FEGenericBase::d2phi
std::vector< std::vector< OutputTensor > > d2phi
Shape function second derivative values.
Definition fe_base.h:674
libMesh::FEGenericBase::dual_dphi
std::vector< std::vector< OutputGradient > > dual_dphi
Definition fe_base.h:621
libMesh::FEGenericBase::dphi
std::vector< std::vector< OutputGradient > > dphi
Shape function derivative values.
Definition fe_base.h:620
libMesh::FEGenericBase::phi
std::vector< std::vector< OutputShape > > phi
Shape function values.
Definition fe_base.h:614
libMesh::FEGenericBase::dual_d2phi
std::vector< std::vector< OutputTensor > > dual_d2phi
Definition fe_base.h:675
libMesh::FEGenericBase::dual_phi
std::vector< std::vector< OutputShape > > dual_phi
Definition fe_base.h:615

References libMesh::index_range(), and libMesh::libmesh_assert().

◆ compute_face_functions()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_base>
void libMesh::InfFE< Dim, T_radial, T_base >::compute_face_functions ( )
protected

Definition at line 236 of file inf_fe_boundary.C.

237{
238
239 if (!calculate_map && !calculate_map_scaled)
240 return; // we didn't ask for any quantity computed here.
241
242 const unsigned int n_qp = cast_int<unsigned int>(_total_qrule_weights.size());
243 this->normals.resize(n_qp);
244
245 if (Dim > 1)
246 {
247 this->tangents.resize(n_qp);
248 for (unsigned int p=0; p<n_qp; ++p)
249 this->tangents[p].resize(LIBMESH_DIM-1);
250 }
251 else
252 {
253 libMesh::err << "tangents have no sense in 1-dimensional elements!"<<std::endl;
254 libmesh_error_msg("Exiting...");
255 }
256
257 // the dimension of base indicates which side we have:
258 // if base_dim == Dim -1 : base
259 // base_dim == Dim -2 : one of the other sides.
260 unsigned int base_dim =base_fe->dim;
261 // If we have no quadrature points, there's nothing else to do
262 if (!n_qp)
263 return;
264
265 switch(Dim)
266 {
267 case 1:
268 case 2:
269 {
270 libmesh_not_implemented();
271 break;
272 }
273 case 3:
274 {
275 // Below, we assume a 2D base, i.e. we compute the side s=0.
276 if (base_dim==Dim-1)
277 for (unsigned int p=0; p<n_qp; ++p)
278 {
279 //
280 // seeking dxyzdx, dxyzdeta means to compute
281 // / dx/dxi dy/dxi dz/dxi \.
282 // J^-1= | |
283 // \ dx/deta dy/deta dz/deta /.
284 // which is the psudo-inverse of J, i.e.
285 //
286 // J^-1 = (J^T J)^-1 J^T
287 //
288 // where J^T T is the 2x2 matrix 'g' used to compute the
289 // Jacobian determinant; thus
290 //
291 // J^-1 = ________1________ / g22 -g21 \ / dxi/dx dxi/dy dxi/dz \.
292 // g11*g22 - g21*g12 \-g12 g11 / \ deta/dx deta/dy deta/dz /.
293 const std::vector<Real> & base_dxidx = base_fe->get_dxidx();
294 const std::vector<Real> & base_dxidy = base_fe->get_dxidy();
295 const std::vector<Real> & base_dxidz = base_fe->get_dxidz();
296 const std::vector<Real> & base_detadx = base_fe->get_detadx();
297 const std::vector<Real> & base_detady = base_fe->get_detady();
298 const std::vector<Real> & base_detadz = base_fe->get_detadz();
299
300 const Real g11 = (base_dxidx[p]*base_dxidx[p] +
301 base_dxidy[p]*base_dxidy[p] +
302 base_dxidz[p]*base_dxidz[p]);
303 const Real g12 = (base_dxidx[p]*base_detadx[p] +
304 base_dxidy[p]*base_detady[p] +
305 base_dxidz[p]*base_detadz[p]);
306 const Real g21 = g12;
307 const Real g22 = (base_detadx[p]*base_detadx[p] +
308 base_detady[p]*base_detady[p] +
309 base_detadz[p]*base_detadz[p]);
310
311 const Real det = (g11*g22 - g12*g21);
312
313 Point dxyzdxi_map((g22*base_dxidx[p]-g21*base_detadx[p])/det,
314 (g22*base_dxidy[p]-g21*base_detady[p])/det,
315 (g22*base_dxidz[p]-g21*base_detadz[p])/det);
316
317 Point dxyzdeta_map((g11*base_detadx[p] - g12*base_dxidx[p])/det,
318 (g11*base_detady[p] - g12*base_dxidy[p])/det,
319 (g11*base_detadz[p] - g12*base_dxidz[p])/det);
320
321 this->tangents[p][0] = dxyzdxi_map.unit();
322
323 this->tangents[p][1] = (dxyzdeta_map - (dxyzdeta_map*tangents[p][0])*tangents[p][0] ).unit();
324
325 this->normals[p] = tangents[p][0].cross(tangents[p][1]).unit();
326 // recompute JxW using the 2D Jacobian:
327 // Since we are at the base, there is no difference between scaled and unscaled jacobian
328 if (calculate_jxw)
329 this->JxW[p] = _total_qrule_weights[p]/std::sqrt(det);
330
331 if (calculate_map_scaled)
332 this->JxWxdecay[p] = _total_qrule_weights[p]/std::sqrt(det);
333
334 }
335 else if (base_dim == Dim -2)
336 {
337 libmesh_not_implemented();
338 }
339 else
340 {
341 // in this case something went completely wrong.
342 libmesh_not_implemented();
343 }
344 break;
345 }
346 default:
347 libmesh_error_msg("Unsupported dim = " << dim);
348 }
349
350}
libMesh::InfFE::JxW
std::vector< Real > JxW
Definition inf_fe.h:1120
libMesh::InfFE::normals
std::vector< Point > normals
Definition inf_fe.h:1122
libMesh::InfFE::_total_qrule_weights
std::vector< Real > _total_qrule_weights
this vector contains the combined integration weights, so that FEAbstract::compute_map() can still be...
Definition inf_fe.h:1179
libMesh::InfFE::JxWxdecay
std::vector< Real > JxWxdecay
Definition inf_fe.h:1119
libMesh::InfFE::tangents
std::vector< std::vector< Point > > tangents
Definition inf_fe.h:1123
libMesh::err
OStreamProxy err

References libMesh::TypeVector< T >::cross(), dim, libMesh::err, libMesh::Real, and libMesh::TypeVector< T >::unit().

◆ compute_node_constraints()

void libMesh::FEAbstract::compute_node_constraints ( NodeConstraints &  constraints,
const Elem *  elem 
)
staticinherited

Computes the nodal constraint contributions (for non-conforming adapted meshes), using Lagrange geometry.

Definition at line 886 of file fe_abstract.C.

888{
889 libmesh_assert(elem);
890
891 const unsigned int Dim = elem->dim();
892
893 // Only constrain elements in 2,3D.
894 if (Dim == 1)
895 return;
896
897 // Only constrain active and ancestor elements
898 if (elem->subactive())
899 return;
900
901
902#ifdef LIBMESH_ENABLE_INFINITE_ELEMENTS
903 if (elem->infinite())
904 {
905 const FEType fe_t(elem->default_order(), FEMap::map_fe_type(*elem));
906
907 // expand the infinite_compute_constraint in its template-arguments.
908 switch(Dim)
909 {
910 case 2:
911 {
912 inf_fe_family_mapping_switch(2, inf_compute_node_constraints (constraints, elem) , ,; break;);
913 break;
914 }
915 case 3:
916 {
917 inf_fe_family_mapping_switch(3, inf_compute_node_constraints (constraints, elem) , ,; break;);
918 break;
919 }
920 default:
921 libmesh_error_msg("Invalid dim = " << Dim);
922 }
923 return;
924 }
925
926#endif
927 const FEFamily mapping_family = FEMap::map_fe_type(*elem);
928 const FEType fe_type(elem->default_side_order(), mapping_family);
929
930 // Pull objects out of the loop to reduce heap operations
931 std::vector<const Node *> my_nodes, parent_nodes;
932 std::unique_ptr<const Elem> my_side, parent_side;
933
934 // Look at the element faces. Check to see if we need to
935 // build constraints.
936 for (auto s : elem->side_index_range())
937 if (elem->neighbor_ptr(s) != nullptr &&
938 elem->neighbor_ptr(s) != remote_elem)
939 if (elem->neighbor_ptr(s)->level() < elem->level()) // constrain dofs shared between
940 { // this element and ones coarser
941 // than this element.
942 // Get pointers to the elements of interest and its parent.
943 const Elem * parent = elem->parent();
944
945 // This can't happen... Only level-0 elements have nullptr
946 // parents, and no level-0 elements can be at a higher
947 // level than their neighbors!
948 libmesh_assert(parent);
949
950 elem->build_side_ptr(my_side, s);
951 parent->build_side_ptr(parent_side, s);
952
953 const unsigned int n_side_nodes = my_side->n_nodes();
954
955 my_nodes.clear();
956 my_nodes.reserve (n_side_nodes);
957 parent_nodes.clear();
958 parent_nodes.reserve (n_side_nodes);
959
960 for (unsigned int n=0; n != n_side_nodes; ++n)
961 my_nodes.push_back(my_side->node_ptr(n));
962
963 for (unsigned int n=0; n != n_side_nodes; ++n)
964 parent_nodes.push_back(parent_side->node_ptr(n));
965
966 for (unsigned int my_side_n=0;
967 my_side_n < n_side_nodes;
968 my_side_n++)
969 {
970 // We can have an FE type that supports an order
971 // partially, such that sides do not support the same
972 // order. E.g. we say that a LAGRANGE PRISM21 supports
973 // "third" order to distinguish its shape functions from
974 // a PRISM18, but the QUAD9 sides will still only
975 // support second order.
976 FEType side_fe_type = fe_type;
977 const int side_max_order =
978 FEInterface::max_order(fe_type, my_side->type());
979
980 if ((int)fe_type.order > side_max_order)
981 side_fe_type.order = side_max_order;
982
983 // Do not use the p_level(), if any, that is inherited by the side.
984 libmesh_assert_less
985 (my_side_n,
986 FEInterface::n_dofs(side_fe_type, /*extra_order=*/0,
987 my_side.get()));
988
989 const Node * my_node = my_nodes[my_side_n];
990
991 // The support point of the DOF
992 const Point & support_point = *my_node;
993
994 // Figure out where my node lies on their reference element.
995 const Point mapped_point = FEMap::inverse_map(Dim-1,
996 parent_side.get(),
997 support_point);
998
999 // Compute the parent's side shape function values.
1000 for (unsigned int their_side_n=0;
1001 their_side_n < n_side_nodes;
1002 their_side_n++)
1003 {
1004 // Do not use the p_level(), if any, that is inherited by the side.
1005 libmesh_assert_less
1006 (their_side_n,
1007 FEInterface::n_dofs(side_fe_type,
1008 /*extra_order=*/0,
1009 parent_side.get()));
1010
1011 const Node * their_node = parent_nodes[their_side_n];
1012 libmesh_assert(their_node);
1013
1014 // Do not use the p_level(), if any, that is inherited by the side.
1015 const Real their_value = FEInterface::shape(side_fe_type,
1016 /*extra_order=*/0,
1017 parent_side.get(),
1018 their_side_n,
1019 mapped_point);
1020
1021 const Real their_mag = std::abs(their_value);
1022#ifdef DEBUG
1023 // Protect for the case u_i ~= u_j,
1024 // in which case i better equal j.
1025 if (their_mag > 0.999)
1026 {
1027 libmesh_assert_equal_to (my_node, their_node);
1028 libmesh_assert_less (std::abs(their_value - 1.), 0.001);
1029 }
1030 else
1031#endif
1032 // To make nodal constraints useful for constructing
1033 // sparsity patterns faster, we need to get EVERY
1034 // POSSIBLE constraint coupling identified, even if
1035 // there is no coupling in the isoparametric
1036 // Lagrange case.
1037 if (their_mag < 1.e-5)
1038 {
1039 // since we may be running this method concurrently
1040 // on multiple threads we need to acquire a lock
1041 // before modifying the shared constraint_row object.
1042 Threads::spin_mutex::scoped_lock lock(Threads::spin_mtx);
1043
1044 // A reference to the constraint row.
1045 NodeConstraintRow & constraint_row = constraints[my_node].first;
1046
1047 constraint_row.emplace(their_node, 0.);
1048 }
1049 // To get nodal coordinate constraints right, only
1050 // add non-zero and non-identity values for Lagrange
1051 // basis functions.
1052 else // (1.e-5 <= their_mag <= .999)
1053 {
1054 // since we may be running this method concurrently
1055 // on multiple threads we need to acquire a lock
1056 // before modifying the shared constraint_row object.
1057 Threads::spin_mutex::scoped_lock lock(Threads::spin_mtx);
1058
1059 // A reference to the constraint row.
1060 NodeConstraintRow & constraint_row = constraints[my_node].first;
1061
1062 constraint_row.emplace(their_node, their_value);
1063 }
1064 }
1065 }
1066 }
1067}
libMesh::FEInterface::max_order
static unsigned int max_order(const FEType &fe_t, const ElemType &el_t)
Definition fe_interface.C:2132
libMesh::FEMap::map_fe_type
static FEFamily map_fe_type(const Elem &elem)
Definition fe_map.C:46
libMesh::Threads::spin_mtx
spin_mutex spin_mtx
A convenient spin mutex object which can be used for obtaining locks.
Definition threads.C:30
libMesh::NodeConstraintRow
std::map< const Node *, Real, std::less< const Node * >, Threads::scalable_allocator< std::pair< const Node *const, Real > > > NodeConstraintRow
A row of the Node constraint mapping.
Definition dof_map.h:148
libMesh::remote_elem
const RemoteElem * remote_elem
Definition remote_elem.C:57

References libMesh::Elem::build_side_ptr(), libMesh::Elem::default_order(), libMesh::Elem::default_side_order(), libMesh::Elem::dim(), libMesh::FEAbstract::fe_type, libMesh::Elem::infinite(), libMesh::FEMap::inverse_map(), libMesh::Elem::level(), libMesh::libmesh_assert(), libMesh::FEMap::map_fe_type(), libMesh::FEInterface::max_order(), libMesh::FEInterface::n_dofs(), libMesh::Elem::neighbor_ptr(), libMesh::FEType::order, libMesh::Elem::parent(), libMesh::Real, libMesh::remote_elem, libMesh::FEInterface::shape(), libMesh::Elem::side_index_range(), libMesh::Threads::spin_mtx, and libMesh::Elem::subactive().

◆ compute_node_indices()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
void libMesh::InfFE< Dim, T_radial, T_map >::compute_node_indices ( const ElemType  inf_elem_type,
const unsigned int  outer_node_index,
unsigned int &  base_node,
unsigned int &  radial_node 
)
staticprotected

Computes the indices in the base base_node and in radial direction radial_node (either 0 or 1) associated to the node outer_node_index of an infinite element of type inf_elem_type.

Definition at line 610 of file inf_fe_static.C.

614{
615 switch (inf_elem_type)
616 {
617 case INFEDGE2:
618 {
619 libmesh_assert_less (outer_node_index, 2);
620 base_node = 0;
621 radial_node = outer_node_index;
622 return;
623 }
624
625
626 // linear base approximation, easy to determine
627 case INFQUAD4:
628 {
629 libmesh_assert_less (outer_node_index, 4);
630 base_node = outer_node_index % 2;
631 radial_node = outer_node_index / 2;
632 return;
633 }
634
635 case INFPRISM6:
636 {
637 libmesh_assert_less (outer_node_index, 6);
638 base_node = outer_node_index % 3;
639 radial_node = outer_node_index / 3;
640 return;
641 }
642
643 case INFHEX8:
644 {
645 libmesh_assert_less (outer_node_index, 8);
646 base_node = outer_node_index % 4;
647 radial_node = outer_node_index / 4;
648 return;
649 }
650
651
652 // higher order base approximation, more work necessary
653 case INFQUAD6:
654 {
655 switch (outer_node_index)
656 {
657 case 0:
658 case 1:
659 {
660 radial_node = 0;
661 base_node = outer_node_index;
662 return;
663 }
664
665 case 2:
666 case 3:
667 {
668 radial_node = 1;
669 base_node = outer_node_index-2;
670 return;
671 }
672
673 case 4:
674 {
675 radial_node = 0;
676 base_node = 2;
677 return;
678 }
679
680 case 5:
681 {
682 radial_node = 1;
683 base_node = 2;
684 return;
685 }
686
687 default:
688 libmesh_error_msg("Unrecognized outer_node_index = " << outer_node_index);
689 }
690 }
691
692
693 case INFHEX16:
694 case INFHEX18:
695 {
696 switch (outer_node_index)
697 {
698 case 0:
699 case 1:
700 case 2:
701 case 3:
702 {
703 radial_node = 0;
704 base_node = outer_node_index;
705 return;
706 }
707
708 case 4:
709 case 5:
710 case 6:
711 case 7:
712 {
713 radial_node = 1;
714 base_node = outer_node_index-4;
715 return;
716 }
717
718 case 8:
719 case 9:
720 case 10:
721 case 11:
722 {
723 radial_node = 0;
724 base_node = outer_node_index-4;
725 return;
726 }
727
728 case 12:
729 case 13:
730 case 14:
731 case 15:
732 {
733 radial_node = 1;
734 base_node = outer_node_index-8;
735 return;
736 }
737
738 case 16:
739 {
740 libmesh_assert_equal_to (inf_elem_type, INFHEX18);
741 radial_node = 0;
742 base_node = 8;
743 return;
744 }
745
746 case 17:
747 {
748 libmesh_assert_equal_to (inf_elem_type, INFHEX18);
749 radial_node = 1;
750 base_node = 8;
751 return;
752 }
753
754 default:
755 libmesh_error_msg("Unrecognized outer_node_index = " << outer_node_index);
756 }
757 }
758
759
760 case INFPRISM12:
761 {
762 switch (outer_node_index)
763 {
764 case 0:
765 case 1:
766 case 2:
767 {
768 radial_node = 0;
769 base_node = outer_node_index;
770 return;
771 }
772
773 case 3:
774 case 4:
775 case 5:
776 {
777 radial_node = 1;
778 base_node = outer_node_index-3;
779 return;
780 }
781
782 case 6:
783 case 7:
784 case 8:
785 {
786 radial_node = 0;
787 base_node = outer_node_index-3;
788 return;
789 }
790
791 case 9:
792 case 10:
793 case 11:
794 {
795 radial_node = 1;
796 base_node = outer_node_index-6;
797 return;
798 }
799
800 default:
801 libmesh_error_msg("Unrecognized outer_node_index = " << outer_node_index);
802 }
803 }
804
805
806 default:
807 libmesh_error_msg("ERROR: Bad infinite element type=" << Utility::enum_to_string(inf_elem_type) << ", node=" << outer_node_index);
808 }
809}

References libMesh::Utility::enum_to_string(), libMesh::INFEDGE2, libMesh::INFHEX16, libMesh::INFHEX18, libMesh::INFHEX8, libMesh::INFPRISM12, libMesh::INFPRISM6, libMesh::INFQUAD4, and libMesh::INFQUAD6.

◆ compute_node_indices_fast()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
void libMesh::InfFE< Dim, T_radial, T_map >::compute_node_indices_fast ( const ElemType  inf_elem_type,
const unsigned int  outer_node_index,
unsigned int &  base_node,
unsigned int &  radial_node 
)
staticprotected

Does the same as compute_node_indices(), but stores the maps for the current element type.

Provided the infinite element type changes seldom, this is probably faster than using compute_node_indices () alone. This is possible since the number of nodes is not likely to change.

Definition at line 817 of file inf_fe_static.C.

821{
822 libmesh_assert_not_equal_to (inf_elem_type, INVALID_ELEM);
823
824 static std::vector<unsigned int> _static_base_node_index;
825 static std::vector<unsigned int> _static_radial_node_index;
826
827 /*
828 * fast counterpart to compute_node_indices(), uses local static buffers
829 * to store the index maps. The class member
830 * \p _compute_node_indices_fast_current_elem_type remembers
831 * the current element type.
832 *
833 * Note that there exist non-static members storing the
834 * same data. However, you never know what element type
835 * is currently used by the \p InfFE object, and what
836 * request is currently directed to the static \p InfFE
837 * members (which use \p compute_node_indices_fast()).
838 * So separate these.
839 *
840 * check whether the work for this elemtype has already
841 * been done. If so, use this index. Otherwise, refresh
842 * the buffer to this element type.
843 */
844 if (inf_elem_type==_compute_node_indices_fast_current_elem_type)
845 {
846 base_node = _static_base_node_index [outer_node_index];
847 radial_node = _static_radial_node_index[outer_node_index];
848 return;
849 }
850 else
851 {
852 // store the map for _all_ nodes for this element type
853 _compute_node_indices_fast_current_elem_type = inf_elem_type;
854
855 unsigned int n_nodes = libMesh::invalid_uint;
856
857 switch (inf_elem_type)
858 {
859 case INFEDGE2:
860 {
861 n_nodes = 2;
862 break;
863 }
864 case INFQUAD4:
865 {
866 n_nodes = 4;
867 break;
868 }
869 case INFQUAD6:
870 {
871 n_nodes = 6;
872 break;
873 }
874 case INFHEX8:
875 {
876 n_nodes = 8;
877 break;
878 }
879 case INFHEX16:
880 {
881 n_nodes = 16;
882 break;
883 }
884 case INFHEX18:
885 {
886 n_nodes = 18;
887 break;
888 }
889 case INFPRISM6:
890 {
891 n_nodes = 6;
892 break;
893 }
894 case INFPRISM12:
895 {
896 n_nodes = 12;
897 break;
898 }
899 default:
900 libmesh_error_msg("ERROR: Bad infinite element type=" << Utility::enum_to_string(inf_elem_type) << ", node=" << outer_node_index);
901 }
902
903
904 _static_base_node_index.resize (n_nodes);
905 _static_radial_node_index.resize(n_nodes);
906
907 for (unsigned int n=0; n<n_nodes; n++)
908 compute_node_indices (inf_elem_type,
909 n,
910 _static_base_node_index [outer_node_index],
911 _static_radial_node_index[outer_node_index]);
912
913 // and return for the specified node
914 base_node = _static_base_node_index [outer_node_index];
915 radial_node = _static_radial_node_index[outer_node_index];
916 return;
917 }
918}
libMesh::InfFE::compute_node_indices
static void compute_node_indices(const ElemType inf_elem_type, const unsigned int outer_node_index, unsigned int &base_node, unsigned int &radial_node)
Computes the indices in the base base_node and in radial direction radial_node (either 0 or 1) associ...
Definition inf_fe_static.C:610
libMesh::InfFE::_compute_node_indices_fast_current_elem_type
static ElemType _compute_node_indices_fast_current_elem_type
When compute_node_indices_fast() is used, this static variable remembers the element type for which t...
Definition inf_fe.h:1233
libMesh::invalid_uint
const unsigned int invalid_uint
A number which is used quite often to represent an invalid or uninitialized value for an unsigned int...
Definition libmesh.h:303

References libMesh::Utility::enum_to_string(), libMesh::INFEDGE2, libMesh::INFHEX16, libMesh::INFHEX18, libMesh::INFHEX8, libMesh::INFPRISM12, libMesh::INFPRISM6, libMesh::INFQUAD4, libMesh::INFQUAD6, libMesh::INVALID_ELEM, libMesh::invalid_uint, and n_nodes.

◆ compute_periodic_constraints()

template<typename OutputType >
void libMesh::FEGenericBase< OutputType >::compute_periodic_constraints ( DofConstraints &  constraints,
DofMap &  dof_map,
const PeriodicBoundaries &  boundaries,
const MeshBase &  mesh,
const PointLocatorBase *  point_locator,
const unsigned int  variable_number,
const Elem *  elem 
)
staticinherited

Computes the constraint matrix contributions (for meshes with periodic boundary conditions) corresponding to variable number var_number, using generic projections.

Definition at line 1841 of file fe_base.C.

1849{
1850 // Only bother if we truly have periodic boundaries
1851 if (boundaries.empty())
1852 return;
1853
1854 libmesh_assert(elem);
1855
1856 // Only constrain active elements with this method
1857 if (!elem->active())
1858 return;
1859
1860 if (elem->infinite())
1861 libmesh_not_implemented();
1862
1863 const unsigned int Dim = elem->dim();
1864
1865 // We need sys_number and variable_number for DofObject methods
1866 // later
1867 const unsigned int sys_number = dof_map.sys_number();
1868
1869 const FEType & base_fe_type = dof_map.variable_type(variable_number);
1870
1871 // Construct FE objects for this element and its pseudo-neighbors.
1872 std::unique_ptr<FEGenericBase<OutputShape>> my_fe
1873 (FEGenericBase<OutputShape>::build(Dim, base_fe_type));
1874 const FEContinuity cont = my_fe->get_continuity();
1875
1876 // We don't need to constrain discontinuous elements
1877 if (cont == DISCONTINUOUS)
1878 return;
1879 libmesh_assert (cont == C_ZERO || cont == C_ONE);
1880
1881 // We'll use element size to generate relative tolerances later
1882 const Real primary_hmin = elem->hmin();
1883
1884 std::unique_ptr<FEGenericBase<OutputShape>> neigh_fe
1885 (FEGenericBase<OutputShape>::build(Dim, base_fe_type));
1886
1887 QGauss my_qface(Dim-1, base_fe_type.default_quadrature_order());
1888 my_fe->attach_quadrature_rule (&my_qface);
1889 std::vector<Point> neigh_qface;
1890
1891 const std::vector<Real> & JxW = my_fe->get_JxW();
1892 const std::vector<Point> & q_point = my_fe->get_xyz();
1893 const std::vector<std::vector<OutputShape>> & phi = my_fe->get_phi();
1894 const std::vector<std::vector<OutputShape>> & neigh_phi =
1895 neigh_fe->get_phi();
1896 const std::vector<Point> * face_normals = nullptr;
1897 const std::vector<std::vector<OutputGradient>> * dphi = nullptr;
1898 const std::vector<std::vector<OutputGradient>> * neigh_dphi = nullptr;
1899 std::vector<dof_id_type> my_dof_indices, neigh_dof_indices;
1900 std::vector<unsigned int> my_side_dofs, neigh_side_dofs;
1901
1902 if (cont != C_ZERO)
1903 {
1904 const std::vector<Point> & ref_face_normals =
1905 my_fe->get_normals();
1906 face_normals = &ref_face_normals;
1907 const std::vector<std::vector<OutputGradient>> & ref_dphi =
1908 my_fe->get_dphi();
1909 dphi = &ref_dphi;
1910 const std::vector<std::vector<OutputGradient>> & ref_neigh_dphi =
1911 neigh_fe->get_dphi();
1912 neigh_dphi = &ref_neigh_dphi;
1913 }
1914
1915 DenseMatrix<Real> Ke;
1916 DenseVector<Real> Fe;
1917 std::vector<DenseVector<Real>> Ue;
1918
1919 // Container to catch the boundary ids that BoundaryInfo hands us.
1920 std::vector<boundary_id_type> bc_ids;
1921
1922 // Look at the element faces. Check to see if we need to
1923 // build constraints.
1924 const unsigned short int max_ns = elem->n_sides();
1925 for (unsigned short int s = 0; s != max_ns; ++s)
1926 {
1927 if (elem->neighbor_ptr(s))
1928 continue;
1929
1930 mesh.get_boundary_info().boundary_ids (elem, s, bc_ids);
1931
1932 for (const auto & boundary_id : bc_ids)
1933 {
1934 const PeriodicBoundaryBase * periodic = boundaries.boundary(boundary_id);
1935 if (!periodic || !periodic->is_my_variable(variable_number))
1936 continue;
1937
1938 libmesh_assert(point_locator);
1939
1940 // Get pointers to the element's neighbor.
1941 unsigned int s_neigh;
1942 const Elem * neigh = boundaries.neighbor(boundary_id, *point_locator, elem, s, &s_neigh);
1943
1944 libmesh_error_msg_if(neigh == nullptr,
1945 "PeriodicBoundaries point locator object returned nullptr!");
1946
1947 // periodic (and possibly h refinement) constraints:
1948 // constrain dofs shared between
1949 // this element and ones as coarse
1950 // as or coarser than this element.
1951 if (neigh->level() <= elem->level())
1952 {
1953#ifdef LIBMESH_ENABLE_AMR
1954 // Find the minimum p level; we build the h constraint
1955 // matrix with this and then constrain away all higher p
1956 // DoFs.
1957 libmesh_assert(neigh->active());
1958 const unsigned int min_p_level =
1959 std::min(elem->p_level(), neigh->p_level());
1960
1961 // we may need to make the FE objects reinit with the
1962 // minimum shared p_level
1963 // FIXME - I hate using const_cast<> and avoiding
1964 // accessor functions; there's got to be a
1965 // better way to do this!
1966 const unsigned int old_elem_level = elem->p_level();
1967 if (old_elem_level != min_p_level)
1968 (const_cast<Elem *>(elem))->hack_p_level(min_p_level);
1969 const unsigned int old_neigh_level = neigh->p_level();
1970 if (old_neigh_level != min_p_level)
1971 (const_cast<Elem *>(neigh))->hack_p_level(min_p_level);
1972#endif // #ifdef LIBMESH_ENABLE_AMR
1973
1974 // We can do a projection with a single integration,
1975 // due to the assumption of nested finite element
1976 // subspaces.
1977 // FIXME: it might be more efficient to do nodes,
1978 // then edges, then side, to reduce the size of the
1979 // Cholesky factorization(s)
1980 my_fe->reinit(elem, s);
1981
1982 dof_map.dof_indices (elem, my_dof_indices,
1983 variable_number);
1984 dof_map.dof_indices (neigh, neigh_dof_indices,
1985 variable_number);
1986
1987 // We use neigh_dof_indices_all_variables in the case that the
1988 // periodic boundary condition involves mappings between multiple
1989 // variables.
1990 std::vector<std::vector<dof_id_type>> neigh_dof_indices_all_variables;
1991 if(periodic->has_transformation_matrix())
1992 {
1993 const std::set<unsigned int> & variables = periodic->get_variables();
1994 neigh_dof_indices_all_variables.resize(variables.size());
1995 unsigned int index = 0;
1996 for(unsigned int var : variables)
1997 {
1998 dof_map.dof_indices (neigh, neigh_dof_indices_all_variables[index],
1999 var);
2000 index++;
2001 }
2002 }
2003
2004 const unsigned int n_qp = my_qface.n_points();
2005
2006 // Translate the quadrature points over to the
2007 // neighbor's boundary
2008 std::vector<Point> neigh_point(q_point.size());
2009 for (auto i : index_range(neigh_point))
2010 neigh_point[i] = periodic->get_corresponding_pos(q_point[i]);
2011
2012 FEMap::inverse_map (Dim, neigh, neigh_point,
2013 neigh_qface);
2014
2015 neigh_fe->reinit(neigh, &neigh_qface);
2016
2017 // We're only concerned with DOFs whose values (and/or first
2018 // derivatives for C1 elements) are supported on side nodes
2019 FEInterface::dofs_on_side(elem, Dim, base_fe_type, s, my_side_dofs);
2020 FEInterface::dofs_on_side(neigh, Dim, base_fe_type, s_neigh, neigh_side_dofs);
2021
2022 // We're done with functions that examine Elem::p_level(),
2023 // so let's unhack those levels
2024#ifdef LIBMESH_ENABLE_AMR
2025 if (elem->p_level() != old_elem_level)
2026 (const_cast<Elem *>(elem))->hack_p_level(old_elem_level);
2027 if (neigh->p_level() != old_neigh_level)
2028 (const_cast<Elem *>(neigh))->hack_p_level(old_neigh_level);
2029#endif // #ifdef LIBMESH_ENABLE_AMR
2030
2031 const unsigned int n_side_dofs =
2032 cast_int<unsigned int>
2033 (my_side_dofs.size());
2034 libmesh_assert_equal_to (n_side_dofs, neigh_side_dofs.size());
2035
2036 Ke.resize (n_side_dofs, n_side_dofs);
2037 Ue.resize(n_side_dofs);
2038
2039 // Form the projection matrix, (inner product of fine basis
2040 // functions against fine test functions)
2041 for (unsigned int is = 0; is != n_side_dofs; ++is)
2042 {
2043 const unsigned int i = my_side_dofs[is];
2044 for (unsigned int js = 0; js != n_side_dofs; ++js)
2045 {
2046 const unsigned int j = my_side_dofs[js];
2047 for (unsigned int qp = 0; qp != n_qp; ++qp)
2048 {
2049 Ke(is,js) += JxW[qp] *
2050 TensorTools::inner_product(phi[i][qp],
2051 phi[j][qp]);
2052 if (cont != C_ZERO)
2053 Ke(is,js) += JxW[qp] *
2054 TensorTools::inner_product((*dphi)[i][qp] *
2055 (*face_normals)[qp],
2056 (*dphi)[j][qp] *
2057 (*face_normals)[qp]);
2058 }
2059 }
2060 }
2061
2062 // Form the right hand sides, (inner product of coarse basis
2063 // functions against fine test functions)
2064 for (unsigned int is = 0; is != n_side_dofs; ++is)
2065 {
2066 const unsigned int i = neigh_side_dofs[is];
2067 Fe.resize (n_side_dofs);
2068 for (unsigned int js = 0; js != n_side_dofs; ++js)
2069 {
2070 const unsigned int j = my_side_dofs[js];
2071 for (unsigned int qp = 0; qp != n_qp; ++qp)
2072 {
2073 Fe(js) += JxW[qp] *
2074 TensorTools::inner_product(neigh_phi[i][qp],
2075 phi[j][qp]);
2076 if (cont != C_ZERO)
2077 Fe(js) += JxW[qp] *
2078 TensorTools::inner_product((*neigh_dphi)[i][qp] *
2079 (*face_normals)[qp],
2080 (*dphi)[j][qp] *
2081 (*face_normals)[qp]);
2082 }
2083 }
2084 Ke.cholesky_solve(Fe, Ue[is]);
2085 }
2086
2087 // Make sure we're not adding recursive constraints
2088 // due to the redundancy in the way we add periodic
2089 // boundary constraints
2090 //
2091 // In order for this to work while threaded or on
2092 // distributed meshes, we need a rigorous way to
2093 // avoid recursive constraints. Here it is:
2094 //
2095 // For vertex DoFs, if there is a "prior" element
2096 // (i.e. a coarser element or an equally refined
2097 // element with a lower id) on this boundary which
2098 // contains the vertex point, then we will avoid
2099 // generating constraints; the prior element (or
2100 // something prior to it) may do so. If we are the
2101 // most prior (or "primary") element on this
2102 // boundary sharing this point, then we look at the
2103 // boundary periodic to us, we find the primary
2104 // element there, and if that primary is coarser or
2105 // equal-but-lower-id, then our vertex dofs are
2106 // constrained in terms of that element.
2107 //
2108 // For edge DoFs, if there is a coarser element
2109 // on this boundary sharing this edge, then we will
2110 // avoid generating constraints (we will be
2111 // constrained indirectly via AMR constraints
2112 // connecting us to the coarser element's DoFs). If
2113 // we are the coarsest element sharing this edge,
2114 // then we generate constraints if and only if we
2115 // are finer than the coarsest element on the
2116 // boundary periodic to us sharing the corresponding
2117 // periodic edge, or if we are at equal level but
2118 // our edge nodes have higher ids than the periodic
2119 // edge nodes (sorted from highest to lowest, then
2120 // compared lexicographically)
2121 //
2122 // For face DoFs, we generate constraints if we are
2123 // finer than our periodic neighbor, or if we are at
2124 // equal level but our element id is higher than its
2125 // element id.
2126 //
2127 // If the primary neighbor is also the current elem
2128 // (a 1-element-thick mesh) then we choose which
2129 // vertex dofs to constrain via lexicographic
2130 // ordering on point locations
2131
2132 // FIXME: This code doesn't yet properly handle
2133 // cases where multiple different periodic BCs
2134 // intersect.
2135 std::set<dof_id_type> my_constrained_dofs;
2136
2137 // Container to catch boundary IDs handed back by BoundaryInfo.
2138 std::vector<boundary_id_type> new_bc_ids;
2139
2140 for (auto n : elem->node_index_range())
2141 {
2142 if (!elem->is_node_on_side(n,s))
2143 continue;
2144
2145 const Node & my_node = elem->node_ref(n);
2146
2147 if (elem->is_vertex(n))
2148 {
2149 // Find all boundary ids that include this
2150 // point and have periodic boundary
2151 // conditions for this variable
2152 std::set<boundary_id_type> point_bcids;
2153
2154 for (unsigned int new_s = 0;
2155 new_s != max_ns; ++new_s)
2156 {
2157 if (!elem->is_node_on_side(n,new_s))
2158 continue;
2159
2160 mesh.get_boundary_info().boundary_ids (elem, s, new_bc_ids);
2161
2162 for (const auto & new_boundary_id : new_bc_ids)
2163 {
2164 const PeriodicBoundaryBase * new_periodic = boundaries.boundary(new_boundary_id);
2165 if (new_periodic && new_periodic->is_my_variable(variable_number))
2166 point_bcids.insert(new_boundary_id);
2167 }
2168 }
2169
2170 // See if this vertex has point neighbors to
2171 // defer to
2172 if (primary_boundary_point_neighbor
2173 (elem, my_node, mesh.get_boundary_info(), point_bcids)
2174 != elem)
2175 continue;
2176
2177 // Find the complementary boundary id set
2178 std::set<boundary_id_type> point_pairedids;
2179 for (const auto & new_boundary_id : point_bcids)
2180 {
2181 const PeriodicBoundaryBase * new_periodic = boundaries.boundary(new_boundary_id);
2182 point_pairedids.insert(new_periodic->pairedboundary);
2183 }
2184
2185 // What do we want to constrain against?
2186 const Elem * primary_elem = nullptr;
2187 const Elem * main_neigh = nullptr;
2188 Point main_pt = my_node,
2189 primary_pt = my_node;
2190
2191 for (const auto & new_boundary_id : point_bcids)
2192 {
2193 // Find the corresponding periodic point and
2194 // its primary neighbor
2195 const PeriodicBoundaryBase * new_periodic = boundaries.boundary(new_boundary_id);
2196
2197 const Point neigh_pt =
2198 new_periodic->get_corresponding_pos(my_node);
2199
2200 // If the point is getting constrained
2201 // to itself by this PBC then we don't
2202 // generate any constraints
2203 if (neigh_pt.absolute_fuzzy_equals
2204 (my_node, primary_hmin*TOLERANCE))
2205 continue;
2206
2207 // Otherwise we'll have a constraint in
2208 // one direction or another
2209 if (!primary_elem)
2210 primary_elem = elem;
2211
2212 const Elem * primary_neigh =
2213 primary_boundary_point_neighbor(neigh, neigh_pt,
2214 mesh.get_boundary_info(),
2215 point_pairedids);
2216
2217 libmesh_assert(primary_neigh);
2218
2219 if (new_boundary_id == boundary_id)
2220 {
2221 main_neigh = primary_neigh;
2222 main_pt = neigh_pt;
2223 }
2224
2225 // Finer elements will get constrained in
2226 // terms of coarser neighbors, not the
2227 // other way around
2228 if ((primary_neigh->level() > primary_elem->level()) ||
2229
2230 // For equal-level elements, the one with
2231 // higher id gets constrained in terms of
2232 // the one with lower id
2233 (primary_neigh->level() == primary_elem->level() &&
2234 primary_neigh->id() > primary_elem->id()) ||
2235
2236 // On a one-element-thick mesh, we compare
2237 // points to see what side gets constrained
2238 (primary_neigh == primary_elem &&
2239 (neigh_pt > primary_pt)))
2240 continue;
2241
2242 primary_elem = primary_neigh;
2243 primary_pt = neigh_pt;
2244 }
2245
2246 if (!primary_elem ||
2247 primary_elem != main_neigh ||
2248 primary_pt != main_pt)
2249 continue;
2250 }
2251 else if (elem->is_edge(n))
2252 {
2253 // Find which edge we're on
2254 unsigned int e=0, ne = elem->n_edges();
2255 for (; e != ne; ++e)
2256 {
2257 if (elem->is_node_on_edge(n,e))
2258 break;
2259 }
2260 libmesh_assert_less (e, elem->n_edges());
2261
2262 // Find the edge end nodes
2263 const Node
2264 * e1 = nullptr,
2265 * e2 = nullptr;
2266 for (auto nn : elem->node_index_range())
2267 {
2268 if (nn == n)
2269 continue;
2270
2271 if (elem->is_node_on_edge(nn, e))
2272 {
2273 if (e1 == nullptr)
2274 {
2275 e1 = elem->node_ptr(nn);
2276 }
2277 else
2278 {
2279 e2 = elem->node_ptr(nn);
2280 break;
2281 }
2282 }
2283 }
2284 libmesh_assert (e1 && e2);
2285
2286 // Find all boundary ids that include this
2287 // edge and have periodic boundary
2288 // conditions for this variable
2289 std::set<boundary_id_type> edge_bcids;
2290
2291 for (unsigned int new_s = 0;
2292 new_s != max_ns; ++new_s)
2293 {
2294 if (!elem->is_node_on_side(n,new_s))
2295 continue;
2296
2297 // We're reusing the new_bc_ids vector created outside the loop over nodes.
2298 mesh.get_boundary_info().boundary_ids (elem, s, new_bc_ids);
2299
2300 for (const auto & new_boundary_id : new_bc_ids)
2301 {
2302 const PeriodicBoundaryBase * new_periodic = boundaries.boundary(new_boundary_id);
2303 if (new_periodic && new_periodic->is_my_variable(variable_number))
2304 edge_bcids.insert(new_boundary_id);
2305 }
2306 }
2307
2308
2309 // See if this edge has neighbors to defer to
2310 if (primary_boundary_edge_neighbor
2311 (elem, *e1, *e2, mesh.get_boundary_info(), edge_bcids)
2312 != elem)
2313 continue;
2314
2315 // Find the complementary boundary id set
2316 std::set<boundary_id_type> edge_pairedids;
2317 for (const auto & new_boundary_id : edge_bcids)
2318 {
2319 const PeriodicBoundaryBase * new_periodic = boundaries.boundary(new_boundary_id);
2320 edge_pairedids.insert(new_periodic->pairedboundary);
2321 }
2322
2323 // What do we want to constrain against?
2324 const Elem * primary_elem = nullptr;
2325 const Elem * main_neigh = nullptr;
2326 Point main_pt1 = *e1,
2327 main_pt2 = *e2,
2328 primary_pt1 = *e1,
2329 primary_pt2 = *e2;
2330
2331 for (const auto & new_boundary_id : edge_bcids)
2332 {
2333 // Find the corresponding periodic edge and
2334 // its primary neighbor
2335 const PeriodicBoundaryBase * new_periodic = boundaries.boundary(new_boundary_id);
2336
2337 Point neigh_pt1 = new_periodic->get_corresponding_pos(*e1),
2338 neigh_pt2 = new_periodic->get_corresponding_pos(*e2);
2339
2340 // If the edge is getting constrained
2341 // to itself by this PBC then we don't
2342 // generate any constraints
2343 if (neigh_pt1.absolute_fuzzy_equals
2344 (*e1, primary_hmin*TOLERANCE) &&
2345 neigh_pt2.absolute_fuzzy_equals
2346 (*e2, primary_hmin*TOLERANCE))
2347 continue;
2348
2349 // Otherwise we'll have a constraint in
2350 // one direction or another
2351 if (!primary_elem)
2352 primary_elem = elem;
2353
2354 const Elem * primary_neigh = primary_boundary_edge_neighbor
2355 (neigh, neigh_pt1, neigh_pt2,
2356 mesh.get_boundary_info(), edge_pairedids);
2357
2358 libmesh_assert(primary_neigh);
2359
2360 if (new_boundary_id == boundary_id)
2361 {
2362 main_neigh = primary_neigh;
2363 main_pt1 = neigh_pt1;
2364 main_pt2 = neigh_pt2;
2365 }
2366
2367 // If we have a one-element thick mesh,
2368 // we'll need to sort our points to get a
2369 // consistent ordering rule
2370 //
2371 // Use >= in this test to make sure that,
2372 // for angular constraints, no node gets
2373 // constrained to itself.
2374 if (primary_neigh == primary_elem)
2375 {
2376 if (primary_pt1 > primary_pt2)
2377 std::swap(primary_pt1, primary_pt2);
2378 if (neigh_pt1 > neigh_pt2)
2379 std::swap(neigh_pt1, neigh_pt2);
2380
2381 if (neigh_pt2 >= primary_pt2)
2382 continue;
2383 }
2384
2385 // Otherwise:
2386 // Finer elements will get constrained in
2387 // terms of coarser ones, not the other way
2388 // around
2389 if ((primary_neigh->level() > primary_elem->level()) ||
2390
2391 // For equal-level elements, the one with
2392 // higher id gets constrained in terms of
2393 // the one with lower id
2394 (primary_neigh->level() == primary_elem->level() &&
2395 primary_neigh->id() > primary_elem->id()))
2396 continue;
2397
2398 primary_elem = primary_neigh;
2399 primary_pt1 = neigh_pt1;
2400 primary_pt2 = neigh_pt2;
2401 }
2402
2403 if (!primary_elem ||
2404 primary_elem != main_neigh ||
2405 primary_pt1 != main_pt1 ||
2406 primary_pt2 != main_pt2)
2407 continue;
2408 }
2409 else if (elem->is_face(n))
2410 {
2411 // If we have a one-element thick mesh,
2412 // use the ordering of the face node and its
2413 // periodic counterpart to determine what
2414 // gets constrained
2415 if (neigh == elem)
2416 {
2417 const Point neigh_pt =
2418 periodic->get_corresponding_pos(my_node);
2419 if (neigh_pt > my_node)
2420 continue;
2421 }
2422
2423 // Otherwise:
2424 // Finer elements will get constrained in
2425 // terms of coarser ones, not the other way
2426 // around
2427 if ((neigh->level() > elem->level()) ||
2428
2429 // For equal-level elements, the one with
2430 // higher id gets constrained in terms of
2431 // the one with lower id
2432 (neigh->level() == elem->level() &&
2433 neigh->id() > elem->id()))
2434 continue;
2435 }
2436
2437 // If we made it here without hitting a continue
2438 // statement, then we're at a node whose dofs
2439 // should be constrained by this element's
2440 // calculations.
2441 const unsigned int n_comp =
2442 my_node.n_comp(sys_number, variable_number);
2443
2444 for (unsigned int i=0; i != n_comp; ++i)
2445 my_constrained_dofs.insert
2446 (my_node.dof_number
2447 (sys_number, variable_number, i));
2448 }
2449
2450 // FIXME: old code for disambiguating periodic BCs:
2451 // this is not threadsafe nor safe to run on a
2452 // non-serialized mesh.
2453 /*
2454 std::vector<bool> recursive_constraint(n_side_dofs, false);
2455
2456 for (unsigned int is = 0; is != n_side_dofs; ++is)
2457 {
2458 const unsigned int i = neigh_side_dofs[is];
2459 const dof_id_type their_dof_g = neigh_dof_indices[i];
2460 libmesh_assert_not_equal_to (their_dof_g, DofObject::invalid_id);
2461
2462 {
2463 Threads::spin_mutex::scoped_lock lock(Threads::spin_mtx);
2464
2465 if (!dof_map.is_constrained_dof(their_dof_g))
2466 continue;
2467 }
2468
2469 DofConstraintRow & their_constraint_row =
2470 constraints[their_dof_g].first;
2471
2472 for (unsigned int js = 0; js != n_side_dofs; ++js)
2473 {
2474 const unsigned int j = my_side_dofs[js];
2475 const dof_id_type my_dof_g = my_dof_indices[j];
2476 libmesh_assert_not_equal_to (my_dof_g, DofObject::invalid_id);
2477
2478 if (their_constraint_row.count(my_dof_g))
2479 recursive_constraint[js] = true;
2480 }
2481 }
2482 */
2483
2484 for (unsigned int js = 0; js != n_side_dofs; ++js)
2485 {
2486 // FIXME: old code path
2487 // if (recursive_constraint[js])
2488 // continue;
2489
2490 const unsigned int j = my_side_dofs[js];
2491 const dof_id_type my_dof_g = my_dof_indices[j];
2492 libmesh_assert_not_equal_to (my_dof_g, DofObject::invalid_id);
2493
2494 // FIXME: new code path
2495 if (!my_constrained_dofs.count(my_dof_g))
2496 continue;
2497
2498 DofConstraintRow * constraint_row;
2499
2500 // we may be running constraint methods concurrently
2501 // on multiple threads, so we need a lock to
2502 // ensure that this constraint is "ours"
2503 {
2504 Threads::spin_mutex::scoped_lock lock(Threads::spin_mtx);
2505
2506 if (dof_map.is_constrained_dof(my_dof_g))
2507 continue;
2508
2509 constraint_row = &(constraints[my_dof_g]);
2510 libmesh_assert(constraint_row->empty());
2511 }
2512
2513 for (unsigned int is = 0; is != n_side_dofs; ++is)
2514 {
2515 const unsigned int i = neigh_side_dofs[is];
2516 const dof_id_type their_dof_g = neigh_dof_indices[i];
2517 libmesh_assert_not_equal_to (their_dof_g, DofObject::invalid_id);
2518
2519 // Periodic constraints should never be
2520 // self-constraints
2521 // libmesh_assert_not_equal_to (their_dof_g, my_dof_g);
2522
2523 const Real their_dof_value = Ue[is](js);
2524
2525 if (their_dof_g == my_dof_g)
2526 {
2527 libmesh_assert_less (std::abs(their_dof_value-1.), 1.e-5);
2528 for (unsigned int k = 0; k != n_side_dofs; ++k)
2529 libmesh_assert(k == is || std::abs(Ue[k](js)) < 1.e-5);
2530 continue;
2531 }
2532
2533 if (std::abs(their_dof_value) < 10*TOLERANCE)
2534 continue;
2535
2536 if(!periodic->has_transformation_matrix())
2537 {
2538 constraint_row->emplace(their_dof_g, their_dof_value);
2539 }
2540 else
2541 {
2542 // In this case the current variable is constrained in terms of other variables.
2543 // We assume that all variables in this constraint have the same FE type (this
2544 // is asserted below), and hence we can create the constraint row contribution
2545 // by multiplying their_dof_value by the corresponding row of the transformation
2546 // matrix.
2547
2548 const std::set<unsigned int> & variables = periodic->get_variables();
2549 neigh_dof_indices_all_variables.resize(variables.size());
2550 unsigned int index = 0;
2551 for(unsigned int other_var : variables)
2552 {
2553 libmesh_assert_msg(base_fe_type == dof_map.variable_type(other_var), "FE types must match for all variables involved in constraint");
2554
2555 Real var_weighting = periodic->get_transformation_matrix()(variable_number, other_var);
2556 constraint_row->emplace(neigh_dof_indices_all_variables[index][i],
2557 var_weighting*their_dof_value);
2558 index++;
2559 }
2560 }
2561
2562 }
2563 }
2564 }
2565 // p refinement constraints:
2566 // constrain dofs shared between
2567 // active elements and neighbors with
2568 // lower polynomial degrees
2569#ifdef LIBMESH_ENABLE_AMR
2570 const unsigned int min_p_level =
2571 neigh->min_p_level_by_neighbor(elem, elem->p_level());
2572 if (min_p_level < elem->p_level())
2573 {
2574 // Adaptive p refinement of non-hierarchic bases will
2575 // require more coding
2576 libmesh_assert(my_fe->is_hierarchic());
2577 dof_map.constrain_p_dofs(variable_number, elem,
2578 s, min_p_level);
2579 }
2580#endif // #ifdef LIBMESH_ENABLE_AMR
2581 }
2582 }
2583}
libMesh::BoundaryInfo::boundary_ids
void boundary_ids(const Node *node, std::vector< boundary_id_type > &vec_to_fill) const
Fills a user-provided std::vector with the boundary ids associated with Node node.
Definition boundary_info.C:1389
libMesh::DofMap::constrain_p_dofs
void constrain_p_dofs(unsigned int var, const Elem *elem, unsigned int s, unsigned int p)
Constrains degrees of freedom on side s of element elem which correspond to variable number var and t...
Definition dof_map_constraints.C:5377
libMesh::DofMap::sys_number
unsigned int sys_number() const
Definition dof_map.h:2340
libMesh::DofMap::is_constrained_dof
bool is_constrained_dof(const dof_id_type dof) const
Definition dof_map.h:2426
libMesh::DofObject::n_comp
unsigned int n_comp(const unsigned int s, const unsigned int var) const
Definition dof_object.h:978
libMesh::DofObject::dof_number
dof_id_type dof_number(const unsigned int s, const unsigned int var, const unsigned int comp) const
Definition dof_object.h:1008
libMesh::DofObject::invalid_id
static constexpr dof_id_type invalid_id
An invalid id to distinguish an uninitialized DofObject.
Definition dof_object.h:473
libMesh::DofObject::id
dof_id_type id() const
Definition dof_object.h:819
libMesh::Elem::is_node_on_side
virtual bool is_node_on_side(const unsigned int n, const unsigned int s) const =0
libMesh::Elem::active
bool active() const
Definition elem.h:2958
libMesh::Elem::node_ref
const Node & node_ref(const unsigned int i) const
Definition elem.h:2538
libMesh::Elem::is_face
virtual bool is_face(const unsigned int i) const =0
libMesh::Elem::hmin
virtual Real hmin() const
Definition elem.C:683
libMesh::Elem::dim
virtual unsigned short dim() const =0
libMesh::Elem::is_edge
virtual bool is_edge(const unsigned int i) const =0
libMesh::Elem::level
unsigned int level() const
Definition elem.h:3091
libMesh::Elem::min_p_level_by_neighbor
unsigned int min_p_level_by_neighbor(const Elem *neighbor, unsigned int current_min) const
Definition elem.C:2350
libMesh::Elem::node_ptr
const Node * node_ptr(const unsigned int i) const
Definition elem.h:2516
libMesh::Elem::is_vertex
virtual bool is_vertex(const unsigned int i) const =0
libMesh::Elem::is_node_on_edge
virtual bool is_node_on_edge(const unsigned int n, const unsigned int e) const =0
libMesh::Elem::n_edges
virtual unsigned int n_edges() const =0
libMesh::Elem::n_sides
virtual unsigned int n_sides() const =0
libMesh::Elem::neighbor_ptr
const Elem * neighbor_ptr(unsigned int i) const
Definition elem.h:2615
libMesh::Elem::infinite
virtual bool infinite() const =0
libMesh::FEType::default_quadrature_order
Order default_quadrature_order() const
Definition fe_type.h:415
libMesh::MeshBase::get_boundary_info
const BoundaryInfo & get_boundary_info() const
The information about boundary ids on the mesh.
Definition mesh_base.h:170
libMesh::Node
A Node is like a Point, but with more information.
Definition node.h:55
libMesh::PeriodicBoundaries::boundary
PeriodicBoundaryBase * boundary(boundary_id_type id)
Definition periodic_boundaries.C:38
libMesh::PeriodicBoundaries::neighbor
const Elem * neighbor(boundary_id_type boundary_id, const PointLocatorBase &point_locator, const Elem *e, unsigned int side, unsigned int *neigh_side=nullptr) const
Definition periodic_boundaries.C:59
libMesh::PeriodicBoundaryBase
The base class for defining periodic boundaries.
Definition periodic_boundary_base.h:49
libMesh::PeriodicBoundaryBase::get_transformation_matrix
const DenseMatrix< Real > & get_transformation_matrix() const
Get the transformation matrix, if it is defined.
Definition periodic_boundary_base.C:86
libMesh::PeriodicBoundaryBase::is_my_variable
bool is_my_variable(unsigned int var_num) const
Definition periodic_boundary_base.C:71
libMesh::PeriodicBoundaryBase::get_variables
const std::set< unsigned int > & get_variables() const
Get the set of variables for this periodic boundary condition.
Definition periodic_boundary_base.C:109
libMesh::PeriodicBoundaryBase::get_corresponding_pos
virtual Point get_corresponding_pos(const Point &pt) const =0
This function should be overridden by derived classes to define how one finds corresponding nodes on ...
libMesh::Point
A Point defines a location in LIBMESH_DIM dimensional Real space.
Definition point.h:40
libMesh::QGauss
This class implements specific orders of Gauss quadrature.
Definition quadrature_gauss.h:40
libMesh::TypeVector::absolute_fuzzy_equals
bool absolute_fuzzy_equals(const TypeVector< T > &rhs, Real tol=TOLERANCE) const
Definition type_vector.h:975
mesh
MeshBase & mesh
Definition mesh_communication.C:1460
libMesh::DofConstraintRow
std::map< dof_id_type, Real, std::less< dof_id_type >, Threads::scalable_allocator< std::pair< const dof_id_type, Real > > > DofConstraintRow
A row of the Dof constraint matrix.
Definition dof_map.h:100
libMesh::is
PetscErrorCode PetscInt const PetscInt IS * is
Definition petsc_dm_wrapper.C:62
libMesh::dof_id_type
uint8_t dof_id_type
Definition id_types.h:67

References libMesh::TypeVector< T >::absolute_fuzzy_equals(), libMesh::Elem::active(), libMesh::PeriodicBoundaries::boundary(), libMesh::BoundaryInfo::boundary_ids(), libMesh::C_ONE, libMesh::C_ZERO, libMesh::DenseMatrix< T >::cholesky_solve(), libMesh::DofMap::constrain_p_dofs(), libMesh::FEType::default_quadrature_order(), libMesh::Elem::dim(), libMesh::DISCONTINUOUS, libMesh::DofMap::dof_indices(), libMesh::DofObject::dof_number(), libMesh::FEInterface::dofs_on_side(), libMesh::MeshBase::get_boundary_info(), libMesh::PeriodicBoundaryBase::get_corresponding_pos(), libMesh::PeriodicBoundaryBase::get_transformation_matrix(), libMesh::PeriodicBoundaryBase::get_variables(), libMesh::PeriodicBoundaryBase::has_transformation_matrix(), libMesh::Elem::hmin(), libMesh::DofObject::id(), libMesh::index_range(), libMesh::Elem::infinite(), libMesh::TensorTools::inner_product(), libMesh::DofObject::invalid_id, libMesh::FEMap::inverse_map(), libMesh::is, libMesh::DofMap::is_constrained_dof(), libMesh::Elem::is_edge(), libMesh::Elem::is_face(), libMesh::PeriodicBoundaryBase::is_my_variable(), libMesh::Elem::is_node_on_edge(), libMesh::Elem::is_node_on_side(), libMesh::Elem::is_vertex(), libMesh::Elem::level(), libMesh::libmesh_assert(), mesh, libMesh::Elem::min_p_level_by_neighbor(), libMesh::DofObject::n_comp(), libMesh::Elem::n_edges(), libMesh::QBase::n_points(), libMesh::Elem::n_sides(), libMesh::PeriodicBoundaries::neighbor(), libMesh::Elem::neighbor_ptr(), libMesh::Elem::node_index_range(), libMesh::Elem::node_ptr(), libMesh::Elem::node_ref(), libMesh::Elem::p_level(), libMesh::PeriodicBoundaryBase::pairedboundary, libMesh::Real, libMesh::DenseVector< T >::resize(), libMesh::DenseMatrix< T >::resize(), libMesh::Threads::spin_mtx, libMesh::DofMap::sys_number(), libMesh::TOLERANCE, and libMesh::DofMap::variable_type().

Referenced by libMesh::FEInterface::compute_periodic_constraints().

◆ compute_periodic_node_constraints()

void libMesh::FEAbstract::compute_periodic_node_constraints ( NodeConstraints &  constraints,
const PeriodicBoundaries &  boundaries,
const MeshBase &  mesh,
const PointLocatorBase *  point_locator,
const Elem *  elem 
)
staticinherited

Computes the node position constraint equation contributions (for meshes with periodic boundary conditions)

Definition at line 1078 of file fe_abstract.C.

1083{
1084 // Only bother if we truly have periodic boundaries
1085 if (boundaries.empty())
1086 return;
1087
1088 libmesh_assert(elem);
1089
1090 // Only constrain active elements with this method
1091 if (!elem->active())
1092 return;
1093
1094 const unsigned int Dim = elem->dim();
1095
1096 const FEFamily mapping_family = FEMap::map_fe_type(*elem);
1097 const FEType fe_type(elem->default_side_order(), mapping_family);
1098
1099 // Pull objects out of the loop to reduce heap operations
1100 std::vector<const Node *> my_nodes, neigh_nodes;
1101 std::unique_ptr<const Elem> my_side, neigh_side;
1102
1103 // Look at the element faces. Check to see if we need to
1104 // build constraints.
1105 std::vector<boundary_id_type> bc_ids;
1106 for (auto s : elem->side_index_range())
1107 {
1108 if (elem->neighbor_ptr(s))
1109 continue;
1110
1111 mesh.get_boundary_info().boundary_ids (elem, s, bc_ids);
1112 for (const auto & boundary_id : bc_ids)
1113 {
1114 const PeriodicBoundaryBase * periodic = boundaries.boundary(boundary_id);
1115 if (periodic)
1116 {
1117 libmesh_assert(point_locator);
1118
1119 // Get pointers to the element's neighbor.
1120 unsigned int s_neigh;
1121 const Elem * neigh = boundaries.neighbor(boundary_id, *point_locator, elem, s, &s_neigh);
1122
1123 libmesh_error_msg_if
1124 (!neigh, "PeriodicBoundaries can't find a periodic neighbor for element " <<
1125 elem->id() << " side " << s);
1126
1127 // h refinement constraints:
1128 // constrain dofs shared between
1129 // this element and ones as coarse
1130 // as or coarser than this element.
1131 if (neigh->level() <= elem->level())
1132 {
1133#ifdef LIBMESH_ENABLE_AMR
1134 libmesh_assert(neigh->active());
1135#endif // #ifdef LIBMESH_ENABLE_AMR
1136
1137 elem->build_side_ptr(my_side, s);
1138 neigh->build_side_ptr(neigh_side, s_neigh);
1139
1140 const unsigned int n_side_nodes = my_side->n_nodes();
1141
1142 my_nodes.clear();
1143 my_nodes.reserve (n_side_nodes);
1144 neigh_nodes.clear();
1145 neigh_nodes.reserve (n_side_nodes);
1146
1147 for (unsigned int n=0; n != n_side_nodes; ++n)
1148 my_nodes.push_back(my_side->node_ptr(n));
1149
1150 for (unsigned int n=0; n != n_side_nodes; ++n)
1151 neigh_nodes.push_back(neigh_side->node_ptr(n));
1152
1153 // Make sure we're not adding recursive constraints
1154 // due to the redundancy in the way we add periodic
1155 // boundary constraints, or adding constraints to
1156 // nodes that already have AMR constraints
1157 std::vector<bool> skip_constraint(n_side_nodes, false);
1158
1159 for (unsigned int my_side_n=0;
1160 my_side_n < n_side_nodes;
1161 my_side_n++)
1162 {
1163 // Do not use the p_level(), if any, that is inherited by the side.
1164 libmesh_assert_less (my_side_n, FEInterface::n_dofs(fe_type, /*extra_order=*/0, my_side.get()));
1165
1166 const Node * my_node = my_nodes[my_side_n];
1167
1168 // If we've already got a constraint on this
1169 // node, then the periodic constraint is
1170 // redundant
1171 {
1172 Threads::spin_mutex::scoped_lock lock(Threads::spin_mtx);
1173
1174 if (constraints.count(my_node))
1175 {
1176 skip_constraint[my_side_n] = true;
1177 continue;
1178 }
1179 }
1180
1181 // Compute the neighbors's side shape function values.
1182 for (unsigned int their_side_n=0;
1183 their_side_n < n_side_nodes;
1184 their_side_n++)
1185 {
1186 // Do not use the p_level(), if any, that is inherited by the side.
1187 libmesh_assert_less (their_side_n, FEInterface::n_dofs(fe_type, /*extra_order=*/0, neigh_side.get()));
1188
1189 const Node * their_node = neigh_nodes[their_side_n];
1190
1191 // If there's a constraint on an opposing node,
1192 // we need to see if it's constrained by
1193 // *our side* making any periodic constraint
1194 // on us recursive
1195 {
1196 Threads::spin_mutex::scoped_lock lock(Threads::spin_mtx);
1197
1198 if (!constraints.count(their_node))
1199 continue;
1200
1201 const NodeConstraintRow & their_constraint_row =
1202 constraints[their_node].first;
1203
1204 for (unsigned int orig_side_n=0;
1205 orig_side_n < n_side_nodes;
1206 orig_side_n++)
1207 {
1208 // Do not use the p_level(), if any, that is inherited by the side.
1209 libmesh_assert_less (orig_side_n, FEInterface::n_dofs(fe_type, /*extra_order=*/0, my_side.get()));
1210
1211 const Node * orig_node = my_nodes[orig_side_n];
1212
1213 if (their_constraint_row.count(orig_node))
1214 skip_constraint[orig_side_n] = true;
1215 }
1216 }
1217 }
1218 }
1219 for (unsigned int my_side_n=0;
1220 my_side_n < n_side_nodes;
1221 my_side_n++)
1222 {
1223 // Do not use the p_level(), if any, that is inherited by the side.
1224 libmesh_assert_less (my_side_n, FEInterface::n_dofs(fe_type, /*extra_order=*/0, my_side.get()));
1225
1226 if (skip_constraint[my_side_n])
1227 continue;
1228
1229 const Node * my_node = my_nodes[my_side_n];
1230
1231 // Figure out where my node lies on their reference element.
1232 const Point neigh_point = periodic->get_corresponding_pos(*my_node);
1233
1234 // Figure out where my node lies on their reference element.
1235 const Point mapped_point =
1236 FEMap::inverse_map(Dim-1, neigh_side.get(),
1237 neigh_point);
1238
1239 for (unsigned int their_side_n=0;
1240 their_side_n < n_side_nodes;
1241 their_side_n++)
1242 {
1243 // Do not use the p_level(), if any, that is inherited by the side.
1244 libmesh_assert_less (their_side_n, FEInterface::n_dofs(fe_type, /*extra_order=*/0, neigh_side.get()));
1245
1246 const Node * their_node = neigh_nodes[their_side_n];
1247 libmesh_assert(their_node);
1248
1249 // Do not use the p_level(), if any, that is inherited by the side.
1250 const Real their_value = FEInterface::shape(fe_type,
1251 /*extra_order=*/0,
1252 neigh_side.get(),
1253 their_side_n,
1254 mapped_point);
1255
1256 // since we may be running this method concurrently
1257 // on multiple threads we need to acquire a lock
1258 // before modifying the shared constraint_row object.
1259 {
1260 Threads::spin_mutex::scoped_lock lock(Threads::spin_mtx);
1261
1262 NodeConstraintRow & constraint_row =
1263 constraints[my_node].first;
1264
1265 constraint_row.emplace(their_node, their_value);
1266 }
1267 }
1268 }
1269 }
1270 }
1271 }
1272 }
1273}

References libMesh::Elem::active(), libMesh::PeriodicBoundaries::boundary(), libMesh::Elem::build_side_ptr(), libMesh::Elem::default_side_order(), libMesh::Elem::dim(), libMesh::FEAbstract::fe_type, libMesh::PeriodicBoundaryBase::get_corresponding_pos(), libMesh::DofObject::id(), libMesh::FEMap::inverse_map(), libMesh::Elem::level(), libMesh::libmesh_assert(), libMesh::FEMap::map_fe_type(), mesh, libMesh::FEInterface::n_dofs(), libMesh::PeriodicBoundaries::neighbor(), libMesh::Elem::neighbor_ptr(), libMesh::Real, libMesh::FEInterface::shape(), libMesh::Elem::side_index_range(), and libMesh::Threads::spin_mtx.

◆ compute_proj_constraints()

template<typename OutputType >
void libMesh::FEGenericBase< OutputType >::compute_proj_constraints ( DofConstraints &  constraints,
DofMap &  dof_map,
const unsigned int  variable_number,
const Elem *  elem 
)
staticinherited

Computes the constraint matrix contributions (for non-conforming adapted meshes) corresponding to variable number var_number, using generic projections.

Definition at line 1534 of file fe_base.C.

1538{
1539 libmesh_assert(elem);
1540
1541 const unsigned int Dim = elem->dim();
1542
1543 // Only constrain elements in 2,3D.
1544 if (Dim == 1)
1545 return;
1546
1547 // Only constrain active elements with this method
1548 if (!elem->active())
1549 return;
1550
1551 const Variable & var = dof_map.variable(variable_number);
1552 const FEType & base_fe_type = var.type();
1553 const bool add_p_level = base_fe_type.p_refinement;
1554
1555 // Construct FE objects for this element and its neighbors.
1556 std::unique_ptr<FEGenericBase<OutputShape>> my_fe
1557 (FEGenericBase<OutputShape>::build(Dim, base_fe_type));
1558 my_fe->add_p_level_in_reinit(add_p_level);
1559 const FEContinuity cont = my_fe->get_continuity();
1560
1561 // We don't need to constrain discontinuous elements
1562 if (cont == DISCONTINUOUS)
1563 return;
1564 libmesh_assert (cont == C_ZERO || cont == C_ONE ||
1565 cont == SIDE_DISCONTINUOUS);
1566
1567 // this would require some generalisation:
1568 // - e.g. the 'my_fe'-object needs generalisation
1569 // - due to lack of one-to-one correspondence of DOFs and nodes,
1570 // this doesn't work easily.
1571 if (elem->infinite())
1572 libmesh_not_implemented();
1573
1574 std::unique_ptr<FEGenericBase<OutputShape>> neigh_fe
1575 (FEGenericBase<OutputShape>::build(Dim, base_fe_type));
1576 neigh_fe->add_p_level_in_reinit(add_p_level);
1577
1578 QGauss my_qface(Dim-1, base_fe_type.default_quadrature_order());
1579 my_fe->attach_quadrature_rule (&my_qface);
1580 std::vector<Point> neigh_qface;
1581
1582 const std::vector<Real> & JxW = my_fe->get_JxW();
1583 const std::vector<Point> & q_point = my_fe->get_xyz();
1584 const std::vector<std::vector<OutputShape>> & phi = my_fe->get_phi();
1585 const std::vector<std::vector<OutputShape>> & neigh_phi =
1586 neigh_fe->get_phi();
1587 const std::vector<Point> * face_normals = nullptr;
1588 const std::vector<std::vector<OutputGradient>> * dphi = nullptr;
1589 const std::vector<std::vector<OutputGradient>> * neigh_dphi = nullptr;
1590
1591 std::vector<dof_id_type> my_dof_indices, neigh_dof_indices;
1592 std::vector<unsigned int> my_side_dofs, neigh_side_dofs;
1593
1594 if (cont == C_ONE)
1595 {
1596 const std::vector<Point> & ref_face_normals =
1597 my_fe->get_normals();
1598 face_normals = &ref_face_normals;
1599 const std::vector<std::vector<OutputGradient>> & ref_dphi =
1600 my_fe->get_dphi();
1601 dphi = &ref_dphi;
1602 const std::vector<std::vector<OutputGradient>> & ref_neigh_dphi =
1603 neigh_fe->get_dphi();
1604 neigh_dphi = &ref_neigh_dphi;
1605 }
1606
1607 DenseMatrix<Real> Ke;
1608 DenseVector<Real> Fe;
1609 std::vector<DenseVector<Real>> Ue;
1610
1611 // Look at the element faces. Check to see if we need to
1612 // build constraints.
1613 for (auto s : elem->side_index_range())
1614 {
1615 // Get pointers to the element's neighbor.
1616 const Elem * neigh = elem->neighbor_ptr(s);
1617
1618 if (!neigh)
1619 continue;
1620
1621 if (!var.active_on_subdomain(neigh->subdomain_id()))
1622 continue;
1623
1624 // h refinement constraints:
1625 // constrain dofs shared between
1626 // this element and ones coarser
1627 // than this element.
1628 if (neigh->level() < elem->level())
1629 {
1630 unsigned int s_neigh = neigh->which_neighbor_am_i(elem);
1631 libmesh_assert_less (s_neigh, neigh->n_neighbors());
1632
1633 // Find the minimum p level; we build the h constraint
1634 // matrix with this and then constrain away all higher p
1635 // DoFs.
1636 libmesh_assert(neigh->active());
1637 const unsigned int min_p_level = add_p_level *
1638 std::min(elem->p_level(), neigh->p_level());
1639 // we may need to make the FE objects reinit with the
1640 // minimum shared p_level
1641 const unsigned int old_elem_level = add_p_level * elem->p_level();
1642 if (old_elem_level != min_p_level)
1643 my_fe->set_fe_order(my_fe->get_fe_type().order.get_order() + min_p_level - old_elem_level);
1644 const unsigned int old_neigh_level = add_p_level * neigh->p_level();
1645 if (old_neigh_level != min_p_level)
1646 neigh_fe->set_fe_order(neigh_fe->get_fe_type().order.get_order() + min_p_level - old_neigh_level);
1647
1648 my_fe->reinit(elem, s);
1649
1650 // This function gets called element-by-element, so there
1651 // will be a lot of memory allocation going on. We can
1652 // at least minimize this for the case of the dof indices
1653 // by efficiently preallocating the requisite storage.
1654 // n_nodes is not necessarily n_dofs, but it is better
1655 // than nothing!
1656 my_dof_indices.reserve (elem->n_nodes());
1657 neigh_dof_indices.reserve (neigh->n_nodes());
1658
1659 dof_map.dof_indices (elem, my_dof_indices,
1660 variable_number,
1661 min_p_level);
1662 dof_map.dof_indices (neigh, neigh_dof_indices,
1663 variable_number,
1664 min_p_level);
1665
1666 const unsigned int n_qp = my_qface.n_points();
1667
1668 FEMap::inverse_map (Dim, neigh, q_point, neigh_qface);
1669
1670 neigh_fe->reinit(neigh, &neigh_qface);
1671
1672 // We're only concerned with DOFs whose values (and/or first
1673 // derivatives for C1 elements) are supported on side nodes
1674 FEType elem_fe_type = base_fe_type;
1675 if (old_elem_level != min_p_level)
1676 elem_fe_type.order = base_fe_type.order.get_order() + min_p_level - old_elem_level;
1677 FEType neigh_fe_type = base_fe_type;
1678 if (old_neigh_level != min_p_level)
1679 neigh_fe_type.order = base_fe_type.order.get_order() + min_p_level - old_neigh_level;
1680 FEInterface::dofs_on_side(elem, Dim, elem_fe_type, s, my_side_dofs);
1681 FEInterface::dofs_on_side(neigh, Dim, neigh_fe_type, s_neigh, neigh_side_dofs);
1682
1683 const unsigned int n_side_dofs =
1684 cast_int<unsigned int>(my_side_dofs.size());
1685 libmesh_assert_equal_to (n_side_dofs, neigh_side_dofs.size());
1686
1687#ifndef NDEBUG
1688 for (auto i : my_side_dofs)
1689 libmesh_assert_less(i, my_dof_indices.size());
1690 for (auto i : neigh_side_dofs)
1691 libmesh_assert_less(i, neigh_dof_indices.size());
1692#endif
1693
1694 Ke.resize (n_side_dofs, n_side_dofs);
1695 Ue.resize(n_side_dofs);
1696
1697 // Form the projection matrix, (inner product of fine basis
1698 // functions against fine test functions)
1699 for (unsigned int is = 0; is != n_side_dofs; ++is)
1700 {
1701 const unsigned int i = my_side_dofs[is];
1702 for (unsigned int js = 0; js != n_side_dofs; ++js)
1703 {
1704 const unsigned int j = my_side_dofs[js];
1705 for (unsigned int qp = 0; qp != n_qp; ++qp)
1706 {
1707 Ke(is,js) += JxW[qp] * TensorTools::inner_product(phi[i][qp], phi[j][qp]);
1708 if (cont == C_ONE)
1709 Ke(is,js) += JxW[qp] *
1710 TensorTools::inner_product((*dphi)[i][qp] *
1711 (*face_normals)[qp],
1712 (*dphi)[j][qp] *
1713 (*face_normals)[qp]);
1714 }
1715 }
1716 }
1717
1718 // Form the right hand sides, (inner product of coarse basis
1719 // functions against fine test functions)
1720 for (unsigned int is = 0; is != n_side_dofs; ++is)
1721 {
1722 const unsigned int i = neigh_side_dofs[is];
1723 Fe.resize (n_side_dofs);
1724 for (unsigned int js = 0; js != n_side_dofs; ++js)
1725 {
1726 const unsigned int j = my_side_dofs[js];
1727 for (unsigned int qp = 0; qp != n_qp; ++qp)
1728 {
1729 Fe(js) += JxW[qp] *
1730 TensorTools::inner_product(neigh_phi[i][qp],
1731 phi[j][qp]);
1732 if (cont == C_ONE)
1733 Fe(js) += JxW[qp] *
1734 TensorTools::inner_product((*neigh_dphi)[i][qp] *
1735 (*face_normals)[qp],
1736 (*dphi)[j][qp] *
1737 (*face_normals)[qp]);
1738 }
1739 }
1740 Ke.cholesky_solve(Fe, Ue[is]);
1741 }
1742
1743 for (unsigned int js = 0; js != n_side_dofs; ++js)
1744 {
1745 const unsigned int j = my_side_dofs[js];
1746 const dof_id_type my_dof_g = my_dof_indices[j];
1747 libmesh_assert_not_equal_to (my_dof_g, DofObject::invalid_id);
1748
1749 // Hunt for "constraining against myself" cases before
1750 // we bother creating a constraint row
1751 bool self_constraint = false;
1752 for (unsigned int is = 0; is != n_side_dofs; ++is)
1753 {
1754 const unsigned int i = neigh_side_dofs[is];
1755 const dof_id_type their_dof_g = neigh_dof_indices[i];
1756 libmesh_assert_not_equal_to (their_dof_g, DofObject::invalid_id);
1757
1758 if (their_dof_g == my_dof_g)
1759 {
1760#ifndef NDEBUG
1761 const Real their_dof_value = Ue[is](js);
1762 libmesh_assert_less (std::abs(their_dof_value-1.),
1763 10*TOLERANCE);
1764
1765 for (unsigned int k = 0; k != n_side_dofs; ++k)
1766 libmesh_assert(k == is ||
1767 std::abs(Ue[k](js)) <
1768 10*TOLERANCE);
1769#endif
1770
1771 self_constraint = true;
1772 break;
1773 }
1774 }
1775
1776 if (self_constraint)
1777 continue;
1778
1779 DofConstraintRow * constraint_row;
1780
1781 // we may be running constraint methods concurrently
1782 // on multiple threads, so we need a lock to
1783 // ensure that this constraint is "ours"
1784 {
1785 Threads::spin_mutex::scoped_lock lock(Threads::spin_mtx);
1786
1787 if (dof_map.is_constrained_dof(my_dof_g))
1788 continue;
1789
1790 constraint_row = &(constraints[my_dof_g]);
1791 libmesh_assert(constraint_row->empty());
1792 }
1793
1794 for (unsigned int is = 0; is != n_side_dofs; ++is)
1795 {
1796 const unsigned int i = neigh_side_dofs[is];
1797 const dof_id_type their_dof_g = neigh_dof_indices[i];
1798 libmesh_assert_not_equal_to (their_dof_g, DofObject::invalid_id);
1799 libmesh_assert_not_equal_to (their_dof_g, my_dof_g);
1800
1801 const Real their_dof_value = Ue[is](js);
1802
1803 if (std::abs(their_dof_value) < 10*TOLERANCE)
1804 continue;
1805
1806 constraint_row->emplace(their_dof_g, their_dof_value);
1807 }
1808 }
1809
1810 my_fe->set_fe_order(my_fe->get_fe_type().order.get_order() + old_elem_level - min_p_level);
1811 neigh_fe->set_fe_order(neigh_fe->get_fe_type().order.get_order() + old_neigh_level - min_p_level);
1812 }
1813
1814 if (add_p_level)
1815 {
1816 // p refinement constraints:
1817 // constrain dofs shared between
1818 // active elements and neighbors with
1819 // lower polynomial degrees
1820 const unsigned int min_p_level =
1821 neigh->min_p_level_by_neighbor(elem, elem->p_level());
1822 if (min_p_level < elem->p_level())
1823 {
1824 // Adaptive p refinement of non-hierarchic bases will
1825 // require more coding
1826 libmesh_assert(my_fe->is_hierarchic());
1827 dof_map.constrain_p_dofs(variable_number, elem,
1828 s, min_p_level);
1829 }
1830 }
1831 }
1832}
libMesh::DofMap::variable
const Variable & variable(const unsigned int c) const override
Definition dof_map.h:2358
libMesh::Elem::n_nodes
virtual unsigned int n_nodes() const =0
libMesh::Elem::which_neighbor_am_i
unsigned int which_neighbor_am_i(const Elem *e) const
This function tells you which neighbor e is.
Definition elem.h:2936
libMesh::Elem::n_neighbors
unsigned int n_neighbors() const
Definition elem.h:713
libMesh::Elem::subdomain_id
subdomain_id_type subdomain_id() const
Definition elem.h:2591
libMesh::FEType::p_refinement
bool p_refinement
Whether or not the finite elements for this type increase their p refinement level on geometric eleme...
Definition fe_type.h:292
libMesh::Variable
This class defines the notion of a variable in the system.
Definition variable.h:51
libMesh::Variable::active_on_subdomain
bool active_on_subdomain(subdomain_id_type sid) const
Definition variable.h:167
libMesh::Variable::type
const FEType & type() const
Definition variable.h:144
libMesh::SIDE_DISCONTINUOUS
@ SIDE_DISCONTINUOUS
Definition enum_fe_family.h:90

References libMesh::Elem::active(), libMesh::Variable::active_on_subdomain(), libMesh::C_ONE, libMesh::C_ZERO, libMesh::DenseMatrix< T >::cholesky_solve(), libMesh::DofMap::constrain_p_dofs(), libMesh::FEType::default_quadrature_order(), libMesh::Elem::dim(), libMesh::DISCONTINUOUS, libMesh::DofMap::dof_indices(), libMesh::FEInterface::dofs_on_side(), libMesh::OrderWrapper::get_order(), libMesh::Elem::infinite(), libMesh::TensorTools::inner_product(), libMesh::DofObject::invalid_id, libMesh::FEMap::inverse_map(), libMesh::is, libMesh::DofMap::is_constrained_dof(), libMesh::Elem::level(), libMesh::libmesh_assert(), libMesh::Elem::min_p_level_by_neighbor(), libMesh::Elem::n_neighbors(), libMesh::Elem::n_nodes(), libMesh::QBase::n_points(), libMesh::Elem::neighbor_ptr(), libMesh::FEType::order, libMesh::Elem::p_level(), libMesh::FEType::p_refinement, libMesh::Real, libMesh::DenseVector< T >::resize(), libMesh::DenseMatrix< T >::resize(), libMesh::SIDE_DISCONTINUOUS, libMesh::Elem::side_index_range(), libMesh::Threads::spin_mtx, libMesh::Elem::subdomain_id(), libMesh::TOLERANCE, libMesh::Variable::type(), libMesh::DofMap::variable(), and libMesh::Elem::which_neighbor_am_i().

Referenced by libMesh::FE< Dim, T >::compute_constraints().

◆ compute_shape_functions() [1/2]

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual void libMesh::InfFE< Dim, T_radial, T_map >::compute_shape_functions ( const Elem *  ,
const std::vector< Point > &   
)
inlineoverrideprotectedvirtual

Use compute_shape_functions(const Elem*, const std::vector<Point> &, const std::vector<Point> &) instead.

Reimplemented from libMesh::FEGenericBase< OutputType >.

Definition at line 957 of file inf_fe.h.

958 {
959 //FIXME: it seems this function cannot be left out because
960 // it is pure virtual in \p FEBase
961 libmesh_not_implemented();
962 }

◆ compute_shape_functions() [2/2]

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
void libMesh::InfFE< Dim, T_radial, T_map >::compute_shape_functions ( const Elem *  inf_elem,
const std::vector< Point > &  base_qp,
const std::vector< Point > &  radial_qp 
)
protected

After having updated the jacobian and the transformation from local to global coordinates in FEAbstract::compute_map(), the first derivatives of the shape functions are transformed to global coordinates, giving dphi, dphidx/y/z, dphasedx/y/z, dweight.

This method should barely be re-defined in derived classes, but still should be usable for children. Therefore, keep it protected.

The full form for 'a' is a = (r0*normal)/(normal*unit_r); where r0 is some point on the base plane(!) when the base element is not a plane, r0 and normal are functions of space. Here, some approximation is used:

Definition at line 753 of file inf_fe.C.

757{
758 libmesh_assert(inf_elem);
759 // at least check whether the base element type is correct.
760 // otherwise this version of computing dist would give problems
761 libmesh_assert_equal_to (base_elem->type(),
762 InfFEBase::get_elem_type(inf_elem->type()));
763
764 // Start logging the overall computation of shape functions
765 LOG_SCOPE("compute_shape_functions()", "InfFE");
766
767 //const unsigned int n_radial_qp = cast_int<unsigned int>(som.size());
768 //const unsigned int n_base_qp = cast_int<unsigned int>(S_map[0].size());
769 const std::size_t n_radial_qp = radial_qp.size();
770 const unsigned int n_base_qp = base_qp.size();
771
772 libmesh_assert_equal_to (_n_total_qp, n_radial_qp*n_base_qp);
773 libmesh_assert_equal_to (_n_total_qp, _total_qrule_weights.size());
774#ifdef DEBUG
775 if (som.size() > 0)
776 libmesh_assert_equal_to(n_radial_qp, som.size());
777
778 if (this->calculate_map || this->calculate_map_scaled)
779 {
780 // these vectors are needed later; initialize here already to have access to
781 // n_base_qp etc.
782 const std::vector<std::vector<Real>> & S_map = (base_fe->get_fe_map()).get_phi_map();
783 if (S_map[0].size() > 0)
784 libmesh_assert_equal_to(n_base_qp, S_map[0].size());
785 }
786 if (radial_qrule)
787 libmesh_assert_equal_to(n_radial_qp, radial_qrule->n_points());
788 if (base_qrule)
789 libmesh_assert_equal_to(n_base_qp, base_qrule->n_points());
790 libmesh_assert_equal_to(_n_total_qp % n_radial_qp, 0); // "Error in the structure of quadrature points!");
791#endif
792
793
794 _n_total_approx_sf = InfFERadial::n_dofs(fe_type.radial_order) *
795 FEInterface::n_dofs(base_fe->get_fe_type(), base_elem.get());
796
797
798
799 const Point origin = inf_elem->origin();
800
801 // Compute the shape function values (and derivatives)
802 // at the Quadrature points. Note that the actual values
803 // have already been computed via init_shape_functions
804
805 unsigned int elem_dim = inf_elem->dim();
806 // Compute the value of the derivative shape function i at quadrature point p
807 switch (elem_dim)
808 {
809 case 1:
810 case 2:
811 {
812 libmesh_not_implemented();
813 break;
814 }
815 case 3:
816 {
817 std::vector<std::vector<Real>> S (0);
818 std::vector<std::vector<Real>> Ss(0);
819 std::vector<std::vector<Real>> St(0);
820
821 std::vector<Real> base_dxidx (0);
822 std::vector<Real> base_dxidy (0);
823 std::vector<Real> base_dxidz (0);
824 std::vector<Real> base_detadx(0);
825 std::vector<Real> base_detady(0);
826 std::vector<Real> base_detadz(0);
827
828 std::vector<Point> base_xyz (0);
829
830 if (calculate_phi || calculate_phi_scaled ||
831 calculate_dphi || calculate_dphi_scaled)
832 S=base_fe->phi;
833
834 // fast access to the approximation and mapping shapes of base_fe
835 if (calculate_map || calculate_map_scaled)
836 {
837 Ss = base_fe->dphidxi;
838 St = base_fe->dphideta;
839
840 base_dxidx = base_fe->get_dxidx();
841 base_dxidy = base_fe->get_dxidy();
842 base_dxidz = base_fe->get_dxidz();
843 base_detadx = base_fe->get_detadx();
844 base_detady = base_fe->get_detady();
845 base_detadz = base_fe->get_detadz();
846
847 base_xyz = base_fe->get_xyz();
848 }
849
850 ElemType base_type= base_elem->type();
851
852#ifdef DEBUG
853 if (calculate_phi)
854 libmesh_assert_equal_to (phi.size(), _n_total_approx_sf);
855 if (calculate_dphi)
856 {
857 libmesh_assert_equal_to (dphidxi.size(), _n_total_approx_sf);
858 libmesh_assert_equal_to (dphideta.size(), _n_total_approx_sf);
859 libmesh_assert_equal_to (dphidzeta.size(), _n_total_approx_sf);
860 }
861#endif
862
863 unsigned int tp=0; // total qp
864 for (unsigned int rp=0; rp<n_radial_qp; ++rp) // over radial qps
865 for (unsigned int bp=0; bp<n_base_qp; ++bp) // over base qps
866
867 { // First compute the map from base element quantities to physical space:
868
869 // initialize them with invalid value to not use them
870 // without setting them to the correct value before.
871 Point unit_r(NAN);
872 RealGradient grad_a_scaled(NAN);
873 Real a(NAN);
874 Real r_norm(NAN);
875 if (calculate_map || calculate_map_scaled)
876 {
877 xyz[tp] = InfFEMap::map(elem_dim, inf_elem, Point(base_qp[bp](0),base_qp[bp](1),radial_qp[rp](0)));
878
879 const Point r(xyz[tp]-origin);
880 a=(base_xyz[bp]-origin).norm();
881 r_norm = r.norm();
882
883 // check that 'som' == a/r.
884#ifndef NDEVEL
885 if (som.size())
886 libmesh_assert_less(std::abs(som[rp] -a/r_norm) , 1e-7);
887#endif
888 unit_r=(r/r_norm);
889
890 // They are used for computing the normal and do not correspond to the direction of eta and xi in this element:
891 // Due to the stretch of these axes in radial direction, they are deformed.
892 Point e_xi(base_dxidx[bp],
893 base_dxidy[bp],
894 base_dxidz[bp]);
895 Point e_eta(base_detadx[bp],
896 base_detady[bp],
897 base_detadz[bp]);
898
899 const RealGradient normal=e_eta.cross(e_xi).unit();
900
901 // grad a = a/r.norm() * grad_a_scaled
902 grad_a_scaled=unit_r - normal/(normal*unit_r);
903
904 const Real dxi_er=base_dxidx[bp]* unit_r(0) + base_dxidy[bp] *unit_r(1) + base_dxidz[bp] *unit_r(2);
905 const Real deta_er=base_detadx[bp]*unit_r(0) + base_detady[bp]*unit_r(1) + base_detadz[bp]*unit_r(2);
906
907 // in case of non-affine map, further terms need to be taken into account,
908 // involving \p e_eta and \p e_xi and thus recursive computation is needed
909 if (!base_elem->has_affine_map())
910 {
919 const unsigned int n_sf = base_elem->n_nodes();
920 RealGradient tmp(0.,0.,0.);
921 for (unsigned int i=0; i< n_sf; ++i)
922 {
923 RealGradient dL_da_i = (FE<2,LAGRANGE>::shape_deriv(base_type,
924 base_elem->default_order(),
925 i, 0, base_qp[bp]) * e_xi
926 +FE<2,LAGRANGE>::shape_deriv(base_type,
927 base_elem->default_order(),
928 i, 1, base_qp[bp]) * e_eta);
929
930 tmp += (base_elem->node_ref(i) -origin).norm()* dL_da_i;
931
932 }
933 libmesh_assert(tmp*unit_r < .95 ); // in a proper setup, tmp should have only a small radial component.
934 grad_a_scaled = ( tmp - (tmp*unit_r)*unit_r ) / ( 1. - tmp*unit_r);
935
936 }
937
938 // 'scale' = r/a
939 dxidx_map_scaled[tp] = (grad_a_scaled(0) - unit_r(0))*dxi_er +base_dxidx[bp];
940 dxidy_map_scaled[tp] = (grad_a_scaled(1) - unit_r(1))*dxi_er +base_dxidy[bp];
941 dxidz_map_scaled[tp] = (grad_a_scaled(2) - unit_r(2))*dxi_er +base_dxidz[bp];
942
943 // 'scale' = r/a
944 detadx_map_scaled[tp] = (grad_a_scaled(0) - unit_r(0))*deta_er + base_detadx[bp];
945 detady_map_scaled[tp] = (grad_a_scaled(1) - unit_r(1))*deta_er + base_detady[bp];
946 detadz_map_scaled[tp] = (grad_a_scaled(2) - unit_r(2))*deta_er + base_detadz[bp];
947
948 // 'scale' = (r/a)**2
949 dzetadx_map_scaled[tp] =-2./a*(grad_a_scaled(0) - unit_r(0));
950 dzetady_map_scaled[tp] =-2./a*(grad_a_scaled(1) - unit_r(1));
951 dzetadz_map_scaled[tp] =-2./a*(grad_a_scaled(2) - unit_r(2));
952
953 }
954
955 if (calculate_map)
956 {
957 dxidx_map[tp] = a/r_norm * dxidx_map_scaled[tp];
958 dxidy_map[tp] = a/r_norm * dxidy_map_scaled[tp];
959 dxidz_map[tp] = a/r_norm * dxidz_map_scaled[tp];
960
961 detadx_map[tp] = a/r_norm * detadx_map_scaled[tp];
962 detady_map[tp] = a/r_norm * detady_map_scaled[tp];
963 detadz_map[tp] = a/r_norm * detadz_map_scaled[tp];
964
965 // dzetadx = dzetadr*dr/dx - 2/r * grad_a
966 // = dzetadr*dr/dx - 2*a/r^2 * grad_a_scaled
967 dzetadx_map[tp] =-2.*a/(r_norm*r_norm)*(grad_a_scaled(0) - unit_r(0));
968 dzetady_map[tp] =-2.*a/(r_norm*r_norm)*(grad_a_scaled(1) - unit_r(1));
969 dzetadz_map[tp] =-2.*a/(r_norm*r_norm)*(grad_a_scaled(2) - unit_r(2));
970
971 if (calculate_jxw)
972 {
973 Real inv_jac = (dxidx_map[tp]*( detady_map[tp]*dzetadz_map[tp]- dzetady_map[tp]*detadz_map[tp]) +
974 detadx_map[tp]*(dzetady_map[tp]* dxidz_map[tp]- dxidy_map[tp]*dzetadz_map[tp]) +
975 dzetadx_map[tp]*( dxidy_map[tp]*detadz_map[tp]- detady_map[tp]* dxidz_map[tp]));
976
977 if (inv_jac <= 1e-10)
978 {
979 libmesh_error_msg("ERROR: negative inverse Jacobian " \
980 << inv_jac \
981 << " at point " \
982 << xyz[tp] \
983 << " in element " \
984 << inf_elem->id());
985 }
986
987
988 JxW[tp] = _total_qrule_weights[tp]/inv_jac;
989 }
990
991 }
992 if (calculate_map_scaled)
993 {
994 Real inv_jacxR_pow4 = (dxidx_map_scaled[tp] *( detady_map_scaled[tp]*dzetadz_map_scaled[tp]
995 - dzetady_map_scaled[tp]* detadz_map_scaled[tp]) +
996 detadx_map_scaled[tp] *( dzetady_map_scaled[tp]* dxidz_map_scaled[tp]
997 - dxidy_map_scaled[tp]*dzetadz_map_scaled[tp]) +
998 dzetadx_map_scaled[tp]*( dxidy_map_scaled[tp]* detadz_map_scaled[tp]
999 -detady_map_scaled[tp]* dxidz_map_scaled[tp]));
1000 if (inv_jacxR_pow4 <= 1e-7)
1001 {
1002 libmesh_error_msg("ERROR: negative weighted inverse Jacobian " \
1003 << inv_jacxR_pow4 \
1004 << " at point " \
1005 << xyz[tp] \
1006 << " in element " \
1007 << inf_elem->id());
1008 }
1009
1010 JxWxdecay[tp] = _total_qrule_weights[tp]/inv_jacxR_pow4;
1011 }
1012
1013 // phase term mu(r)=i*k*(r-a).
1014 // skip i*k: it is added separately during matrix assembly.
1015
1016 if (calculate_dphi || calculate_dphi_scaled)
1017 dphase[tp] = unit_r - grad_a_scaled*a/r_norm;
1018
1019 if (calculate_dphi)
1020 {
1021 dweight[tp](0) = dweightdv[rp] * dzetadx_map[tp];
1022 dweight[tp](1) = dweightdv[rp] * dzetady_map[tp];
1023 dweight[tp](2) = dweightdv[rp] * dzetadz_map[tp];
1024 }
1025 if (calculate_dphi_scaled)
1026 {
1027 dweightxr_sq[tp](0) = dweightdv[rp] * dzetadx_map_scaled[tp];
1028 dweightxr_sq[tp](1) = dweightdv[rp] * dzetady_map_scaled[tp];
1029 dweightxr_sq[tp](2) = dweightdv[rp] * dzetadz_map_scaled[tp];
1030 }
1031
1032 if (calculate_phi || calculate_phi_scaled || calculate_dphi || calculate_dphi_scaled)
1033 // compute the shape-functions and derivative quantities:
1034 for (unsigned int i=0; i <_n_total_approx_sf ; ++i)
1035 {
1036 // let the index vectors take care of selecting the appropriate base/radial shape
1037 unsigned int bi = _base_shape_index [i];
1038 unsigned int ri = _radial_shape_index[i];
1039 if (calculate_phi)
1040 phi [i][tp] = S [bi][bp] * mode[ri][rp] * som[rp];
1041
1042 if (calculate_phi_scaled)
1043 phixr [i][tp] = S [bi][bp] * mode[ri][rp];
1044
1045 if (calculate_dphi || calculate_dphi_scaled)
1046 {
1047 dphidxi [i][tp] = Ss[bi][bp] * mode[ri][rp] * som[rp];
1048 dphideta [i][tp] = St[bi][bp] * mode[ri][rp] * som[rp];
1049 dphidzeta[i][tp] = S [bi][bp]
1050 * (dmodedv[ri][rp] * som[rp] + mode[ri][rp] * dsomdv[rp]);
1051 }
1052
1053 if (calculate_dphi)
1054 {
1055
1056 // dphi/dx = (dphi/dxi)*(dxi/dx) + (dphi/deta)*(deta/dx) + (dphi/dzeta)*(dzeta/dx);
1057 dphi[i][tp](0) =
1058 dphidx[i][tp] = (dphidxi[i][tp]*dxidx_map[tp] +
1059 dphideta[i][tp]*detadx_map[tp] +
1060 dphidzeta[i][tp]*dzetadx_map[tp]);
1061
1062 // dphi/dy = (dphi/dxi)*(dxi/dy) + (dphi/deta)*(deta/dy) + (dphi/dzeta)*(dzeta/dy);
1063 dphi[i][tp](1) =
1064 dphidy[i][tp] = (dphidxi[i][tp]*dxidy_map[tp] +
1065 dphideta[i][tp]*detady_map[tp] +
1066 dphidzeta[i][tp]*dzetady_map[tp]);
1067
1068 // dphi/dz = (dphi/dxi)*(dxi/dz) + (dphi/deta)*(deta/dz) + (dphi/dzeta)*(dzeta/dz);
1069 dphi[i][tp](2) =
1070 dphidz[i][tp] = (dphidxi[i][tp]*dxidz_map[tp] +
1071 dphideta[i][tp]*detadz_map[tp] +
1072 dphidzeta[i][tp]*dzetadz_map[tp]);
1073
1074 }
1075 if (calculate_dphi_scaled)
1076 { // we don't distinguish between the different levels of scaling here...
1077
1078 dphixr[i][tp](0)= (dphidxi[i][tp]*dxidx_map_scaled[tp] +
1079 dphideta[i][tp]*detadx_map_scaled[tp] +
1080 dphidzeta[i][tp]*dzetadx_map_scaled[tp]*som[rp]);
1081
1082 dphixr[i][tp](1) = (dphidxi[i][tp]*dxidy_map_scaled[tp] +
1083 dphideta[i][tp]*detady_map_scaled[tp] +
1084 dphidzeta[i][tp]*dzetady_map_scaled[tp]*som[rp]);
1085
1086 dphixr[i][tp](2) = (dphidxi[i][tp]*dxidz_map_scaled[tp] +
1087 dphideta[i][tp]*detadz_map_scaled[tp] +
1088 dphidzeta[i][tp]*dzetadz_map_scaled[tp]*som[rp]);
1089
1090 const Real dphidxixr = Ss[bi][bp] * mode[ri][rp];
1091 const Real dphidetaxr= St[bi][bp] * mode[ri][rp];
1092
1093 dphixr_sq[i][tp](0)= (dphidxixr*dxidx_map_scaled[tp] +
1094 dphidetaxr*detadx_map_scaled[tp] +
1095 dphidzeta[i][tp]*dzetadx_map_scaled[tp]);
1096
1097 dphixr_sq[i][tp](1) = (dphidxixr*dxidy_map_scaled[tp] +
1098 dphidetaxr*detady_map_scaled[tp] +
1099 dphidzeta[i][tp]*dzetady_map_scaled[tp]);
1100
1101 dphixr_sq[i][tp](2) = (dphidxixr*dxidz_map_scaled[tp] +
1102 dphidetaxr*detadz_map_scaled[tp] +
1103 dphidzeta[i][tp]*dzetadz_map_scaled[tp]);
1104 }
1105
1106 }
1107 tp++;
1108 }
1109
1110 break;
1111 }
1112
1113 default:
1114 libmesh_error_msg("Unsupported dim = " << dim);
1115 }
1116}
libMesh::FEAbstract::_n_total_qp
unsigned int _n_total_qp
The total number of quadrature points for the current configuration.
Definition fe_abstract.h:774
libMesh::FEGenericBase::dphidx
std::vector< std::vector< OutputShape > > dphidx
Shape function derivatives in the x direction.
Definition fe_base.h:656
libMesh::FEGenericBase::dphidy
std::vector< std::vector< OutputShape > > dphidy
Shape function derivatives in the y direction.
Definition fe_base.h:661
libMesh::FEGenericBase::dphidzeta
std::vector< std::vector< OutputShape > > dphidzeta
Shape function derivatives in the zeta direction.
Definition fe_base.h:651
libMesh::FEGenericBase::dphase
std::vector< OutputGradient > dphase
Used for certain infinite element families: the first derivatives of the phase term in global coordin...
Definition fe_base.h:753
libMesh::FEGenericBase::dphidz
std::vector< std::vector< OutputShape > > dphidz
Shape function derivatives in the z direction.
Definition fe_base.h:666
libMesh::FEGenericBase::dphidxi
std::vector< std::vector< OutputShape > > dphidxi
Shape function derivatives in the xi direction.
Definition fe_base.h:641
libMesh::FEGenericBase::dweight
std::vector< RealGradient > dweight
Used for certain infinite element families: the global derivative of the additional radial weight ,...
Definition fe_base.h:760
libMesh::FEGenericBase::dphideta
std::vector< std::vector< OutputShape > > dphideta
Shape function derivatives in the eta direction.
Definition fe_base.h:646
libMesh::FE::shape_deriv
static OutputShape shape_deriv(const ElemType t, const Order o, const unsigned int i, const unsigned int j, const Point &p)
libMesh::InfFEBase::get_elem_type
static ElemType get_elem_type(const ElemType type)
Definition inf_fe_base_radial.C:45
libMesh::InfFEMap::map
static Point map(const unsigned int dim, const Elem *inf_elem, const Point &reference_point)
Definition inf_fe_map.C:40
libMesh::InfFERadial::n_dofs
static unsigned int n_dofs(const Order o_radial)
Definition inf_fe.h:113
libMesh::InfFE::dzetady_map
std::vector< Real > dzetady_map
Definition inf_fe.h:1096
libMesh::InfFE::dzetadx_map
std::vector< Real > dzetadx_map
Definition inf_fe.h:1095
libMesh::InfFE::dsomdv
std::vector< Real > dsomdv
the first local derivative of the radial decay in local coordinates.
Definition inf_fe.h:1071
libMesh::InfFE::dzetady_map_scaled
std::vector< Real > dzetady_map_scaled
Definition inf_fe.h:1108
libMesh::InfFE::dxidx_map
std::vector< Real > dxidx_map
Definition inf_fe.h:1089
libMesh::InfFE::dphixr
std::vector< std::vector< RealGradient > > dphixr
Definition inf_fe.h:1116
libMesh::InfFE::detady_map_scaled
std::vector< Real > detady_map_scaled
Definition inf_fe.h:1105
libMesh::InfFE::dweightdv
std::vector< Real > dweightdv
the additional radial weight in local coordinates, over all quadrature points.
Definition inf_fe.h:1055
libMesh::InfFE::phixr
std::vector< std::vector< Real > > phixr
Definition inf_fe.h:1115
libMesh::InfFE::dphixr_sq
std::vector< std::vector< RealGradient > > dphixr_sq
Definition inf_fe.h:1117
libMesh::InfFE::detadx_map_scaled
std::vector< Real > detadx_map_scaled
Definition inf_fe.h:1104
libMesh::InfFE::dxidx_map_scaled
std::vector< Real > dxidx_map_scaled
Definition inf_fe.h:1101
libMesh::InfFE::dmodedv
std::vector< std::vector< Real > > dmodedv
the first local derivative of the radial approximation shapes.
Definition inf_fe.h:1083
libMesh::InfFE::dweightxr_sq
std::vector< RealGradient > dweightxr_sq
Definition inf_fe.h:1057
libMesh::InfFE::dzetadz_map
std::vector< Real > dzetadz_map
Definition inf_fe.h:1097
libMesh::InfFE::detadz_map
std::vector< Real > detadz_map
Definition inf_fe.h:1094
libMesh::InfFE::dzetadz_map_scaled
std::vector< Real > dzetadz_map_scaled
Definition inf_fe.h:1109
libMesh::InfFE::dzetadx_map_scaled
std::vector< Real > dzetadx_map_scaled
Definition inf_fe.h:1107
libMesh::InfFE::dxidz_map
std::vector< Real > dxidz_map
Definition inf_fe.h:1091
libMesh::InfFE::detady_map
std::vector< Real > detady_map
Definition inf_fe.h:1093
libMesh::InfFE::dxidy_map_scaled
std::vector< Real > dxidy_map_scaled
Definition inf_fe.h:1102
libMesh::InfFE::dxidy_map
std::vector< Real > dxidy_map
Definition inf_fe.h:1090
libMesh::InfFE::_base_shape_index
std::vector< unsigned int > _base_shape_index
The internal structure of the InfFE – tensor product of base element shapes times radial shapes – has...
Definition inf_fe.h:1165
libMesh::InfFE::xyz
std::vector< Point > xyz
Physical quadrature points.
Definition inf_fe.h:1046
libMesh::InfFE::detadz_map_scaled
std::vector< Real > detadz_map_scaled
Definition inf_fe.h:1106
libMesh::InfFE::detadx_map
std::vector< Real > detadx_map
Definition inf_fe.h:1092
libMesh::InfFE::_radial_shape_index
std::vector< unsigned int > _radial_shape_index
The internal structure of the InfFE – tensor product of base element shapes times radial shapes – has...
Definition inf_fe.h:1155
libMesh::InfFE::base_elem
std::unique_ptr< const Elem > base_elem
The "base" (aka non-infinite) element associated with the current infinite element.
Definition inf_fe.h:1198
libMesh::InfFE::dxidz_map_scaled
std::vector< Real > dxidz_map_scaled
Definition inf_fe.h:1103
libMesh::InfFE::mode
std::vector< std::vector< Real > > mode
the radial approximation shapes in local coordinates Needed when setting up the overall shape functio...
Definition inf_fe.h:1077
libMesh::InfFE::som
std::vector< Real > som
the radial decay in local coordinates.
Definition inf_fe.h:1066
libMesh::TypeVector::cross
TypeVector< typename CompareTypes< T, T2 >::supertype > cross(const TypeVector< T2 > &v) const
Definition type_vector.h:885
libMesh::TensorTools::norm
auto norm(const T &a)
Definition tensor_tools.h:74
libMesh::RealGradient
RealVectorValue RealGradient
Definition hp_coarsentest.h:49

References libMesh::TypeVector< T >::cross(), dim, libMesh::Elem::dim(), libMesh::InfFEBase::get_elem_type(), libMesh::DofObject::id(), libMesh::libmesh_assert(), libMesh::InfFEMap::map(), libMesh::InfFERadial::n_dofs(), libMesh::FEInterface::n_dofs(), libMesh::TypeVector< T >::norm(), libMesh::Elem::origin(), libMesh::Real, libMesh::FE< Dim, T >::shape_deriv(), and libMesh::Elem::type().

◆ compute_shape_indices() [1/2]

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
void libMesh::InfFE< Dim, T_radial, T_map >::compute_shape_indices ( const FEType &  fet,
const Elem *  inf_elem,
const unsigned int  i,
unsigned int &  base_shape,
unsigned int &  radial_shape 
)
staticprotected

Computes the indices of shape functions in the base base_shape and in radial direction radial_shape (0 in the base, \( \ge 1 \) further out) associated to the shape with global index i of an infinite element inf_elem.

Definition at line 926 of file inf_fe_static.C.

931{
932 // An example is provided: the numbers in comments refer to
933 // a fictitious InfHex18. The numbers are chosen as exemplary
934 // values. There is currently no base approximation that
935 // requires this many dof's at nodes, sides, faces and in the element.
936 //
937 // the order of the shape functions is heavily related with the
938 // order the dofs are assigned in \p DofMap::distributed_dofs().
939 // Due to the infinite elements with higher-order base approximation,
940 // some more effort is necessary.
941 //
942 // numbering scheme:
943 // 1. all vertices in the base, assign node->n_comp() dofs to each vertex
944 // 2. all vertices further out: innermost loop: radial shapes,
945 // then the base approximation shapes
946 // 3. all side nodes in the base, assign node->n_comp() dofs to each side node
947 // 4. all side nodes further out: innermost loop: radial shapes,
948 // then the base approximation shapes
949 // 5. (all) face nodes in the base, assign node->n_comp() dofs to each face node
950 // 6. (all) face nodes further out: innermost loop: radial shapes,
951 // then the base approximation shapes
952 // 7. element-associated dof in the base
953 // 8. element-associated dof further out
954
955 const unsigned int radial_order = static_cast<unsigned int>(fet.radial_order.get_order()); // 4
956 const unsigned int radial_order_p_one = radial_order+1; // 5
957
958 std::unique_ptr<const Elem> base_elem = InfFEBase::build_elem(inf_elem); // QUAD9
959
960 // assume that the number of dof is the same for all vertices
961 unsigned int n_base_vertices = libMesh::invalid_uint; // 4
962 const unsigned int n_base_vertex_dof = FEInterface::n_dofs_at_node (fet, base_elem.get(), 0); // 2
963
964 unsigned int n_base_side_nodes = libMesh::invalid_uint; // 4
965 unsigned int n_base_side_dof = libMesh::invalid_uint; // 3
966
967 unsigned int n_base_face_nodes = libMesh::invalid_uint; // 1
968 unsigned int n_base_face_dof = libMesh::invalid_uint; // 5
969
970 const unsigned int n_base_elem_dof = FEInterface::n_dofs_per_elem (fet, base_elem.get()); // 9
971
972 const ElemType inf_elem_type = inf_elem->type();
973
974 switch (inf_elem_type)
975 {
976 case INFEDGE2:
977 {
978 n_base_vertices = 1;
979 n_base_side_nodes = 0;
980 n_base_face_nodes = 0;
981 n_base_side_dof = 0;
982 n_base_face_dof = 0;
983 break;
984 }
985
986 case INFQUAD4:
987 {
988 n_base_vertices = 2;
989 n_base_side_nodes = 0;
990 n_base_face_nodes = 0;
991 n_base_side_dof = 0;
992 n_base_face_dof = 0;
993 break;
994 }
995
996 case INFQUAD6:
997 {
998 n_base_vertices = 2;
999 n_base_side_nodes = 1;
1000 n_base_face_nodes = 0;
1001 n_base_side_dof = FEInterface::n_dofs_at_node (fet, base_elem.get(), n_base_vertices);
1002 n_base_face_dof = 0;
1003 break;
1004 }
1005
1006 case INFHEX8:
1007 {
1008 n_base_vertices = 4;
1009 n_base_side_nodes = 0;
1010 n_base_face_nodes = 0;
1011 n_base_side_dof = 0;
1012 n_base_face_dof = 0;
1013 break;
1014 }
1015
1016 case INFHEX16:
1017 {
1018 n_base_vertices = 4;
1019 n_base_side_nodes = 4;
1020 n_base_face_nodes = 0;
1021 n_base_side_dof = FEInterface::n_dofs_at_node (fet, base_elem.get(), n_base_vertices);
1022 n_base_face_dof = 0;
1023 break;
1024 }
1025
1026 case INFHEX18:
1027 {
1028 n_base_vertices = 4;
1029 n_base_side_nodes = 4;
1030 n_base_face_nodes = 1;
1031 n_base_side_dof = FEInterface::n_dofs_at_node (fet, base_elem.get(), n_base_vertices);
1032 n_base_face_dof = FEInterface::n_dofs_at_node (fet, base_elem.get(), 8);
1033 break;
1034 }
1035
1036
1037 case INFPRISM6:
1038 {
1039 n_base_vertices = 3;
1040 n_base_side_nodes = 0;
1041 n_base_face_nodes = 0;
1042 n_base_side_dof = 0;
1043 n_base_face_dof = 0;
1044 break;
1045 }
1046
1047 case INFPRISM12:
1048 {
1049 n_base_vertices = 3;
1050 n_base_side_nodes = 3;
1051 n_base_face_nodes = 0;
1052 n_base_side_dof = FEInterface::n_dofs_at_node (fet, base_elem.get(), n_base_vertices);
1053 n_base_face_dof = 0;
1054 break;
1055 }
1056
1057 default:
1058 libmesh_error_msg("Unrecognized inf_elem type = " << Utility::enum_to_string(inf_elem_type));
1059 }
1060
1061
1062 {
1063 // these are the limits describing the intervals where the shape function lies
1064 const unsigned int n_dof_at_base_vertices = n_base_vertices*n_base_vertex_dof; // 8
1065 const unsigned int n_dof_at_all_vertices = n_dof_at_base_vertices*radial_order_p_one; // 40
1066
1067 const unsigned int n_dof_at_base_sides = n_base_side_nodes*n_base_side_dof; // 12
1068 const unsigned int n_dof_at_all_sides = n_dof_at_base_sides*radial_order_p_one; // 60
1069
1070 const unsigned int n_dof_at_base_face = n_base_face_nodes*n_base_face_dof; // 5
1071 const unsigned int n_dof_at_all_faces = n_dof_at_base_face*radial_order_p_one; // 25
1072
1073
1074 // start locating the shape function
1075 if (i < n_dof_at_base_vertices) // range of i: 0..7
1076 {
1077 // belongs to vertex in the base
1078 radial_shape = 0;
1079 base_shape = i;
1080 }
1081
1082 else if (i < n_dof_at_all_vertices) // range of i: 8..39
1083 {
1084 /* belongs to vertex in the outer shell
1085 *
1086 * subtract the number of dof already counted,
1087 * so that i_offset contains only the offset for the base
1088 */
1089 const unsigned int i_offset = i - n_dof_at_base_vertices; // 0..31
1090
1091 // first the radial dof are counted, then the base dof
1092 radial_shape = (i_offset % radial_order) + 1;
1093 base_shape = i_offset / radial_order;
1094 }
1095
1096 else if (i < n_dof_at_all_vertices+n_dof_at_base_sides) // range of i: 40..51
1097 {
1098 // belongs to base, is a side node
1099 radial_shape = 0;
1100 base_shape = i - radial_order * n_dof_at_base_vertices; // 8..19
1101 }
1102
1103 else if (i < n_dof_at_all_vertices+n_dof_at_all_sides) // range of i: 52..99
1104 {
1105 // belongs to side node in the outer shell
1106 const unsigned int i_offset = i - (n_dof_at_all_vertices
1107 + n_dof_at_base_sides); // 0..47
1108 radial_shape = (i_offset % radial_order) + 1;
1109 base_shape = (i_offset / radial_order) + n_dof_at_base_vertices;
1110 }
1111
1112 else if (i < n_dof_at_all_vertices+n_dof_at_all_sides+n_dof_at_base_face) // range of i: 100..104
1113 {
1114 // belongs to the node in the base face
1115 radial_shape = 0;
1116 base_shape = i - radial_order*(n_dof_at_base_vertices
1117 + n_dof_at_base_sides); // 20..24
1118 }
1119
1120 else if (i < n_dof_at_all_vertices+n_dof_at_all_sides+n_dof_at_all_faces) // range of i: 105..124
1121 {
1122 // belongs to the node in the outer face
1123 const unsigned int i_offset = i - (n_dof_at_all_vertices
1124 + n_dof_at_all_sides
1125 + n_dof_at_base_face); // 0..19
1126 radial_shape = (i_offset % radial_order) + 1;
1127 base_shape = (i_offset / radial_order) + n_dof_at_base_vertices + n_dof_at_base_sides;
1128 }
1129
1130 else if (i < n_dof_at_all_vertices+n_dof_at_all_sides+n_dof_at_all_faces+n_base_elem_dof) // range of i: 125..133
1131 {
1132 // belongs to the base and is an element associated shape
1133 radial_shape = 0;
1134 base_shape = i - (n_dof_at_all_vertices
1135 + n_dof_at_all_sides
1136 + n_dof_at_all_faces); // 0..8
1137 }
1138
1139 else // range of i: 134..169
1140 {
1141 libmesh_assert_less (i, n_dofs(fet, inf_elem));
1142 // belongs to the outer shell and is an element associated shape
1143 const unsigned int i_offset = i - (n_dof_at_all_vertices
1144 + n_dof_at_all_sides
1145 + n_dof_at_all_faces
1146 + n_base_elem_dof); // 0..19
1147 radial_shape = (i_offset % radial_order) + 1;
1148 base_shape = (i_offset / radial_order) + n_dof_at_base_vertices + n_dof_at_base_sides + n_dof_at_base_face;
1149 }
1150 }
1151
1152 return;
1153}
libMesh::FEInterface::n_dofs_per_elem
static unsigned int n_dofs_per_elem(const unsigned int dim, const FEType &fe_t, const ElemType t)
Definition fe_interface.C:531
libMesh::InfFEBase::build_elem
static std::unique_ptr< const Elem > build_elem(const Elem *inf_elem)
Build the base element of an infinite element.
Definition inf_fe_base_radial.C:38

References libMesh::InfFEBase::build_elem(), libMesh::Utility::enum_to_string(), libMesh::OrderWrapper::get_order(), libMesh::INFEDGE2, libMesh::INFHEX16, libMesh::INFHEX18, libMesh::INFHEX8, libMesh::INFPRISM12, libMesh::INFPRISM6, libMesh::INFQUAD4, libMesh::INFQUAD6, libMesh::invalid_uint, libMesh::FEInterface::n_dofs_at_node(), libMesh::FEInterface::n_dofs_per_elem(), libMesh::FEType::radial_order, and libMesh::Elem::type().

◆ compute_shape_indices() [2/2]

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
void libMesh::InfFE< Dim, T_radial, T_map >::compute_shape_indices ( const FEType &  fet,
const ElemType  inf_elem_type,
const unsigned int  i,
unsigned int &  base_shape,
unsigned int &  radial_shape 
)
staticprotected

Definition at line 1159 of file inf_fe_static.C.

1164{
1165 // This is basically cut-and-paste copy of the non-deprecated code
1166 // above, and should be removed eventually.
1167 libmesh_deprecated();
1168
1169 const unsigned int radial_order = static_cast<unsigned int>(fet.radial_order.get_order()); // 4
1170 const unsigned int radial_order_p_one = radial_order+1; // 5
1171
1172 const ElemType base_elem_type (InfFEBase::get_elem_type(inf_elem_type)); // QUAD9
1173
1174 // assume that the number of dof is the same for all vertices
1175 unsigned int n_base_vertices = libMesh::invalid_uint; // 4
1176 const unsigned int n_base_vertex_dof = FEInterface::n_dofs_at_node (Dim-1, fet, base_elem_type, 0);// 2
1177
1178 unsigned int n_base_side_nodes = libMesh::invalid_uint; // 4
1179 unsigned int n_base_side_dof = libMesh::invalid_uint; // 3
1180
1181 unsigned int n_base_face_nodes = libMesh::invalid_uint; // 1
1182 unsigned int n_base_face_dof = libMesh::invalid_uint; // 5
1183
1184 const unsigned int n_base_elem_dof = FEInterface::n_dofs_per_elem (Dim-1, fet, base_elem_type);// 9
1185
1186
1187 switch (inf_elem_type)
1188 {
1189 case INFEDGE2:
1190 {
1191 n_base_vertices = 1;
1192 n_base_side_nodes = 0;
1193 n_base_face_nodes = 0;
1194 n_base_side_dof = 0;
1195 n_base_face_dof = 0;
1196 break;
1197 }
1198
1199 case INFQUAD4:
1200 {
1201 n_base_vertices = 2;
1202 n_base_side_nodes = 0;
1203 n_base_face_nodes = 0;
1204 n_base_side_dof = 0;
1205 n_base_face_dof = 0;
1206 break;
1207 }
1208
1209 case INFQUAD6:
1210 {
1211 n_base_vertices = 2;
1212 n_base_side_nodes = 1;
1213 n_base_face_nodes = 0;
1214 n_base_side_dof = FEInterface::n_dofs_at_node (Dim-1, fet,base_elem_type, n_base_vertices);
1215 n_base_face_dof = 0;
1216 break;
1217 }
1218
1219 case INFHEX8:
1220 {
1221 n_base_vertices = 4;
1222 n_base_side_nodes = 0;
1223 n_base_face_nodes = 0;
1224 n_base_side_dof = 0;
1225 n_base_face_dof = 0;
1226 break;
1227 }
1228
1229 case INFHEX16:
1230 {
1231 n_base_vertices = 4;
1232 n_base_side_nodes = 4;
1233 n_base_face_nodes = 0;
1234 n_base_side_dof = FEInterface::n_dofs_at_node (Dim-1, fet,base_elem_type, n_base_vertices);
1235 n_base_face_dof = 0;
1236 break;
1237 }
1238
1239 case INFHEX18:
1240 {
1241 n_base_vertices = 4;
1242 n_base_side_nodes = 4;
1243 n_base_face_nodes = 1;
1244 n_base_side_dof = FEInterface::n_dofs_at_node (Dim-1, fet,base_elem_type, n_base_vertices);
1245 n_base_face_dof = FEInterface::n_dofs_at_node (Dim-1, fet,base_elem_type, 8);
1246 break;
1247 }
1248
1249
1250 case INFPRISM6:
1251 {
1252 n_base_vertices = 3;
1253 n_base_side_nodes = 0;
1254 n_base_face_nodes = 0;
1255 n_base_side_dof = 0;
1256 n_base_face_dof = 0;
1257 break;
1258 }
1259
1260 case INFPRISM12:
1261 {
1262 n_base_vertices = 3;
1263 n_base_side_nodes = 3;
1264 n_base_face_nodes = 0;
1265 n_base_side_dof = FEInterface::n_dofs_at_node (Dim-1, fet,base_elem_type, n_base_vertices);
1266 n_base_face_dof = 0;
1267 break;
1268 }
1269
1270 default:
1271 libmesh_error_msg("Unrecognized inf_elem_type = " << Utility::enum_to_string(inf_elem_type));
1272 }
1273
1274
1275 {
1276 // these are the limits describing the intervals where the shape function lies
1277 const unsigned int n_dof_at_base_vertices = n_base_vertices*n_base_vertex_dof; // 8
1278 const unsigned int n_dof_at_all_vertices = n_dof_at_base_vertices*radial_order_p_one; // 40
1279
1280 const unsigned int n_dof_at_base_sides = n_base_side_nodes*n_base_side_dof; // 12
1281 const unsigned int n_dof_at_all_sides = n_dof_at_base_sides*radial_order_p_one; // 60
1282
1283 const unsigned int n_dof_at_base_face = n_base_face_nodes*n_base_face_dof; // 5
1284 const unsigned int n_dof_at_all_faces = n_dof_at_base_face*radial_order_p_one; // 25
1285
1286
1287 // start locating the shape function
1288 if (i < n_dof_at_base_vertices) // range of i: 0..7
1289 {
1290 // belongs to vertex in the base
1291 radial_shape = 0;
1292 base_shape = i;
1293 }
1294
1295 else if (i < n_dof_at_all_vertices) // range of i: 8..39
1296 {
1297 /* belongs to vertex in the outer shell
1298 *
1299 * subtract the number of dof already counted,
1300 * so that i_offset contains only the offset for the base
1301 */
1302 const unsigned int i_offset = i - n_dof_at_base_vertices; // 0..31
1303
1304 // first the radial dof are counted, then the base dof
1305 radial_shape = (i_offset % radial_order) + 1;
1306 base_shape = i_offset / radial_order;
1307 }
1308
1309 else if (i < n_dof_at_all_vertices+n_dof_at_base_sides) // range of i: 40..51
1310 {
1311 // belongs to base, is a side node
1312 radial_shape = 0;
1313 base_shape = i - radial_order * n_dof_at_base_vertices; // 8..19
1314 }
1315
1316 else if (i < n_dof_at_all_vertices+n_dof_at_all_sides) // range of i: 52..99
1317 {
1318 // belongs to side node in the outer shell
1319 const unsigned int i_offset = i - (n_dof_at_all_vertices
1320 + n_dof_at_base_sides); // 0..47
1321 radial_shape = (i_offset % radial_order) + 1;
1322 base_shape = (i_offset / radial_order) + n_dof_at_base_vertices;
1323 }
1324
1325 else if (i < n_dof_at_all_vertices+n_dof_at_all_sides+n_dof_at_base_face) // range of i: 100..104
1326 {
1327 // belongs to the node in the base face
1328 radial_shape = 0;
1329 base_shape = i - radial_order*(n_dof_at_base_vertices
1330 + n_dof_at_base_sides); // 20..24
1331 }
1332
1333 else if (i < n_dof_at_all_vertices+n_dof_at_all_sides+n_dof_at_all_faces) // range of i: 105..124
1334 {
1335 // belongs to the node in the outer face
1336 const unsigned int i_offset = i - (n_dof_at_all_vertices
1337 + n_dof_at_all_sides
1338 + n_dof_at_base_face); // 0..19
1339 radial_shape = (i_offset % radial_order) + 1;
1340 base_shape = (i_offset / radial_order) + n_dof_at_base_vertices + n_dof_at_base_sides;
1341 }
1342
1343 else if (i < n_dof_at_all_vertices+n_dof_at_all_sides+n_dof_at_all_faces+n_base_elem_dof) // range of i: 125..133
1344 {
1345 // belongs to the base and is an element associated shape
1346 radial_shape = 0;
1347 base_shape = i - (n_dof_at_all_vertices
1348 + n_dof_at_all_sides
1349 + n_dof_at_all_faces); // 0..8
1350 }
1351
1352 else // range of i: 134..169
1353 {
1354 // belongs to the outer shell and is an element associated shape
1355 const unsigned int i_offset = i - (n_dof_at_all_vertices
1356 + n_dof_at_all_sides
1357 + n_dof_at_all_faces
1358 + n_base_elem_dof); // 0..19
1359 radial_shape = (i_offset % radial_order) + 1;
1360 base_shape = (i_offset / radial_order) + n_dof_at_base_vertices + n_dof_at_base_sides + n_dof_at_base_face;
1361 }
1362 }
1363
1364 return;
1365}

References libMesh::Utility::enum_to_string(), libMesh::InfFEBase::get_elem_type(), libMesh::OrderWrapper::get_order(), libMesh::INFEDGE2, libMesh::INFHEX16, libMesh::INFHEX18, libMesh::INFHEX8, libMesh::INFPRISM12, libMesh::INFPRISM6, libMesh::INFQUAD4, libMesh::INFQUAD6, libMesh::invalid_uint, libMesh::FEInterface::n_dofs_at_node(), libMesh::FEInterface::n_dofs_per_elem(), and libMesh::FEType::radial_order.

◆ determine_calculations()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
void libMesh::InfFE< Dim, T_radial, T_map >::determine_calculations ( )
overrideprotectedvirtual

Determine which values are to be calculated, for both the FE itself and for the FEMap.

Definition at line 329 of file inf_fe.C.

330{
331 this->calculations_started = true;
332
333 // If the user did not explicitly pre-request something (or nothing)
334 // to be computed, then we throw an error here.
335 bool requested_ok =
336 this->calculate_nothing || this->calculate_phi ||
337 this->calculate_dphi || this->calculate_dphiref ||
338 this->calculate_phi_scaled || this->calculate_dphi_scaled ||
339 this->calculate_xyz || this->calculate_jxw ||
340 this->calculate_map_scaled || this->calculate_map ||
341 this->calculate_curl_phi || this->calculate_div_phi;
342
343#ifdef LIBMESH_ENABLE_SECOND_DERIVATIVES
344 requested_ok = requested_ok || this->calculate_d2phi;
345#endif
346
347 libmesh_error_msg_if(
348 !requested_ok,
349 "You must call one or more of the FE accessors "
350 "(e.g. get_phi(), get_dphi(), get_nothing()) "
351 "_before_ calling reinit()!");
352
353 // set further terms necessary to do the requested task
354 if (calculate_jxw)
355 this->calculate_map = true;
356 if (this->calculate_dphi)
357 this->calculate_map = true;
358 if (this->calculate_dphi_scaled)
359 this->calculate_map_scaled = true;
360 // if Cartesian positions were requested but the calculation of map
361 // was not triggered, we'll opt for the 'scaled' variant.
362 if (calculate_xyz && !calculate_map)
363 this->calculate_map_scaled = true;
364 base_fe->calculate_phi = this->calculate_phi || this->calculate_phi_scaled
365 || this->calculate_dphi || this->calculate_dphi_scaled;
366 base_fe->calculate_dphi = this->calculate_dphi || this->calculate_dphi_scaled;
367 if (this->calculate_map || this->calculate_map_scaled
368 || this->calculate_dphiref)
369 {
370 base_fe->calculate_dphiref = true;
371 base_fe->get_xyz(); // trigger base_fe->fe_map to 'calculate_xyz'
372 base_fe->get_JxW(); // trigger base_fe->fe_map to 'calculate_dxyz'
373 }
374 base_fe->determine_calculations();
375
376#ifdef LIBMESH_ENABLE_SECOND_DERIVATIVES
377 if (this->calculate_d2phi)
378 libmesh_not_implemented();
379#endif //LIBMESH_ENABLE_SECOND_DERIVATIVES
380}
libMesh::FEAbstract::calculations_started
bool calculations_started
Have calculations with this object already been started? Then all get_* functions should already have...
Definition fe_abstract.h:666
libMesh::FEAbstract::calculate_dphiref
bool calculate_dphiref
Should we calculate reference shape function gradients?
Definition fe_abstract.h:722

◆ disable_print_counter_info()

void libMesh::ReferenceCounter::disable_print_counter_info ( )
staticinherited

Definition at line 100 of file reference_counter.C.

101{
102 _enable_print_counter = false;
103 return;
104}
libMesh::ReferenceCounter::_enable_print_counter
static bool _enable_print_counter
Flag to control whether reference count information is printed when print_info is called.
Definition reference_counter.h:143

References libMesh::ReferenceCounter::_enable_print_counter.

◆ edge_reinit()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_base>
void libMesh::InfFE< Dim, T_radial, T_base >::edge_reinit ( const Elem *  elem,
const unsigned int  edge,
const Real  tolerance = TOLERANCE,
const std::vector< Point > *const  pts = nullptr,
const std::vector< Real > *const  weights = nullptr 
)
overridevirtual

Not implemented yet.

Reinitializes all the physical element-dependent data based on the edge of an infinite element.

Implements libMesh::FEAbstract.

Definition at line 117 of file inf_fe_boundary.C.

122{
123 // We don't do this for 1D elements!
124 //libmesh_assert_not_equal_to (Dim, 1);
125 libmesh_not_implemented_msg("ERROR: Edge conditions for infinite elements not implemented!");
126
127 if (pts != nullptr)
128 libmesh_not_implemented_msg("ERROR: User-specified points for infinite elements not implemented!");
129}

◆ enable_print_counter_info()

void libMesh::ReferenceCounter::enable_print_counter_info ( )
staticinherited

Methods to enable/disable the reference counter output from print_info().

Enabled by default.

Definition at line 94 of file reference_counter.C.

95{
96 _enable_print_counter = true;
97 return;
98}

References libMesh::ReferenceCounter::_enable_print_counter.

Referenced by libMesh::LibMeshInit::~LibMeshInit().

◆ eval() [1/16]

Real libMesh::InfFE< 1, LAGRANGE, CARTESIAN >::eval ( Real  v,
Order  o,
unsigned  i 
)
protected

Definition at line 2607 of file inf_fe_lagrange_eval.C.

2607{ return lagrange_eval(v, o, i); }

◆ eval() [2/16]

Real libMesh::InfFE< 2, LAGRANGE, CARTESIAN >::eval ( Real  v,
Order  o,
unsigned  i 
)
protected

Definition at line 2608 of file inf_fe_lagrange_eval.C.

2608{ return lagrange_eval(v, o, i); }

◆ eval() [3/16]

Real libMesh::InfFE< 3, LAGRANGE, CARTESIAN >::eval ( Real  v,
Order  o,
unsigned  i 
)
protected

Definition at line 2609 of file inf_fe_lagrange_eval.C.

2609{ return lagrange_eval(v, o, i); }

◆ eval() [4/16]

Real libMesh::InfFE< 1, INFINITE_MAP, CARTESIAN >::eval ( Real  v,
Order  o,
unsigned  i 
)
protected

Definition at line 63 of file inf_fe_map_eval.C.

63{ return InfFEMap::eval(v, o, i); }
libMesh::InfFEMap::eval
static Real eval(Real v, Order o, unsigned int i)
Definition inf_fe_map_eval.C:27

References libMesh::InfFEMap::eval().

◆ eval() [5/16]

Real libMesh::InfFE< 2, INFINITE_MAP, CARTESIAN >::eval ( Real  v,
Order  o,
unsigned  i 
)
protected

Definition at line 64 of file inf_fe_map_eval.C.

64{ return InfFEMap::eval(v, o, i); }

References libMesh::InfFEMap::eval().

◆ eval() [6/16]

Real libMesh::InfFE< 3, INFINITE_MAP, CARTESIAN >::eval ( Real  v,
Order  o,
unsigned  i 
)
protected

Definition at line 65 of file inf_fe_map_eval.C.

65{ return InfFEMap::eval(v, o, i); }

References libMesh::InfFEMap::eval().

◆ eval() [7/16]

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
static Real libMesh::InfFE< Dim, T_radial, T_map >::eval ( Real  v,
Order  o_radial,
unsigned int  i 
)
staticprotected
Returns
The value of the \( i^{th} \) polynomial evaluated at v. This method provides the approximation in radial direction for the overall shape functions, which is defined in InfFE::shape(). This method is allowed to be static, since it is independent of dimension and base_family. It is templated, though, w.r.t. to radial FEFamily.
The value of the \( i^{th} \) mapping shape function in radial direction evaluated at v when T_radial == INFINITE_MAP. Currently, only one specific mapping shape is used. Namely the one by Marques JMMC, Owen DRJ: Infinite elements in quasi-static materially nonlinear problems, Computers and Structures, 1984.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::compute_data(), libMesh::InfFE< Dim, T_radial, T_map >::shape(), libMesh::InfFE< Dim, T_radial, T_map >::shape(), libMesh::InfFE< Dim, T_radial, T_map >::shape_deriv(), and libMesh::InfFE< Dim, T_radial, T_map >::shape_deriv().

◆ eval() [8/16]

Real libMesh::InfFE< 1, JACOBI_20_00, CARTESIAN >::eval ( Real  x,
Order  ,
unsigned  n 
)
protected

Definition at line 57 of file inf_fe_jacobi_20_00_eval.C.

57{ return jacobi_20_00_eval(n, x); }

◆ eval() [9/16]

Real libMesh::InfFE< 2, JACOBI_20_00, CARTESIAN >::eval ( Real  x,
Order  ,
unsigned  n 
)
protected

Definition at line 58 of file inf_fe_jacobi_20_00_eval.C.

58{ return jacobi_20_00_eval(n, x); }

◆ eval() [10/16]

Real libMesh::InfFE< 3, JACOBI_20_00, CARTESIAN >::eval ( Real  x,
Order  ,
unsigned  n 
)
protected

Definition at line 59 of file inf_fe_jacobi_20_00_eval.C.

59{ return jacobi_20_00_eval(n, x); }

◆ eval() [11/16]

Real libMesh::InfFE< 1, JACOBI_30_00, CARTESIAN >::eval ( Real  x,
Order  ,
unsigned  n 
)
protected

Definition at line 57 of file inf_fe_jacobi_30_00_eval.C.

57{ return jacobi_30_00_eval(n, x); }

◆ eval() [12/16]

Real libMesh::InfFE< 2, JACOBI_30_00, CARTESIAN >::eval ( Real  x,
Order  ,
unsigned  n 
)
protected

Definition at line 58 of file inf_fe_jacobi_30_00_eval.C.

58{ return jacobi_30_00_eval(n, x); }

◆ eval() [13/16]

Real libMesh::InfFE< 3, JACOBI_30_00, CARTESIAN >::eval ( Real  x,
Order  ,
unsigned  n 
)
protected

Definition at line 59 of file inf_fe_jacobi_30_00_eval.C.

59{ return jacobi_30_00_eval(n, x); }

◆ eval() [14/16]

Real libMesh::InfFE< 1, LEGENDRE, CARTESIAN >::eval ( Real  x,
Order  ,
unsigned  n 
)
protected

Definition at line 59 of file inf_fe_legendre_eval.C.

59{ return legendre_eval(n, x); }

◆ eval() [15/16]

Real libMesh::InfFE< 2, LEGENDRE, CARTESIAN >::eval ( Real  x,
Order  ,
unsigned  n 
)
protected

Definition at line 60 of file inf_fe_legendre_eval.C.

60{ return legendre_eval(n, x); }

◆ eval() [16/16]

Real libMesh::InfFE< 3, LEGENDRE, CARTESIAN >::eval ( Real  x,
Order  ,
unsigned  n 
)
protected

Definition at line 61 of file inf_fe_legendre_eval.C.

61{ return legendre_eval(n, x); }

◆ eval_deriv() [1/16]

Real libMesh::InfFE< 1, LAGRANGE, CARTESIAN >::eval_deriv ( Real  v,
Order  o,
unsigned  i 
)
protected

Definition at line 2613 of file inf_fe_lagrange_eval.C.

2613{ return lagrange_eval_deriv(v, o, i); }

◆ eval_deriv() [2/16]

Real libMesh::InfFE< 2, LAGRANGE, CARTESIAN >::eval_deriv ( Real  v,
Order  o,
unsigned  i 
)
protected

Definition at line 2614 of file inf_fe_lagrange_eval.C.

2614{ return lagrange_eval_deriv(v, o, i); }

◆ eval_deriv() [3/16]

Real libMesh::InfFE< 3, LAGRANGE, CARTESIAN >::eval_deriv ( Real  v,
Order  o,
unsigned  i 
)
protected

Definition at line 2615 of file inf_fe_lagrange_eval.C.

2615{ return lagrange_eval_deriv(v, o, i); }

◆ eval_deriv() [4/16]

Real libMesh::InfFE< 1, INFINITE_MAP, CARTESIAN >::eval_deriv ( Real  v,
Order  o,
unsigned  i 
)
protected

Definition at line 69 of file inf_fe_map_eval.C.

69{ return InfFEMap::eval_deriv(v, o, i); }
libMesh::InfFEMap::eval_deriv
static Real eval_deriv(Real v, Order o, unsigned int i)
Definition inf_fe_map_eval.C:45

References libMesh::InfFEMap::eval_deriv().

◆ eval_deriv() [5/16]

Real libMesh::InfFE< 2, INFINITE_MAP, CARTESIAN >::eval_deriv ( Real  v,
Order  o,
unsigned  i 
)
protected

Definition at line 70 of file inf_fe_map_eval.C.

70{ return InfFEMap::eval_deriv(v, o, i); }

References libMesh::InfFEMap::eval_deriv().

◆ eval_deriv() [6/16]

Real libMesh::InfFE< 3, INFINITE_MAP, CARTESIAN >::eval_deriv ( Real  v,
Order  o,
unsigned  i 
)
protected

Definition at line 71 of file inf_fe_map_eval.C.

71{ return InfFEMap::eval_deriv(v, o, i); }

References libMesh::InfFEMap::eval_deriv().

◆ eval_deriv() [7/16]

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
static Real libMesh::InfFE< Dim, T_radial, T_map >::eval_deriv ( Real  v,
Order  o_radial,
unsigned int  i 
)
staticprotected
Returns
The value of the first derivative of the \( i^{th} \) polynomial at coordinate v. See eval for details.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::compute_data(), libMesh::InfFE< Dim, T_radial, T_map >::shape_deriv(), and libMesh::InfFE< Dim, T_radial, T_map >::shape_deriv().

◆ eval_deriv() [8/16]

Real libMesh::InfFE< 1, JACOBI_20_00, CARTESIAN >::eval_deriv ( Real  x,
Order  ,
unsigned  n 
)
protected

Definition at line 63 of file inf_fe_jacobi_20_00_eval.C.

63{ return jacobi_20_00_eval_deriv(n, x); }

◆ eval_deriv() [9/16]

Real libMesh::InfFE< 2, JACOBI_20_00, CARTESIAN >::eval_deriv ( Real  x,
Order  ,
unsigned  n 
)
protected

Definition at line 64 of file inf_fe_jacobi_20_00_eval.C.

64{ return jacobi_20_00_eval_deriv(n, x); }

◆ eval_deriv() [10/16]

Real libMesh::InfFE< 3, JACOBI_20_00, CARTESIAN >::eval_deriv ( Real  x,
Order  ,
unsigned  n 
)
protected

Definition at line 65 of file inf_fe_jacobi_20_00_eval.C.

65{ return jacobi_20_00_eval_deriv(n, x); }

◆ eval_deriv() [11/16]

Real libMesh::InfFE< 1, JACOBI_30_00, CARTESIAN >::eval_deriv ( Real  x,
Order  ,
unsigned  n 
)
protected

Definition at line 63 of file inf_fe_jacobi_30_00_eval.C.

63{ return jacobi_30_00_eval_deriv(n, x); }

◆ eval_deriv() [12/16]

Real libMesh::InfFE< 2, JACOBI_30_00, CARTESIAN >::eval_deriv ( Real  x,
Order  ,
unsigned  n 
)
protected

Definition at line 64 of file inf_fe_jacobi_30_00_eval.C.

64{ return jacobi_30_00_eval_deriv(n, x); }

◆ eval_deriv() [13/16]

Real libMesh::InfFE< 3, JACOBI_30_00, CARTESIAN >::eval_deriv ( Real  x,
Order  ,
unsigned  n 
)
protected

Definition at line 65 of file inf_fe_jacobi_30_00_eval.C.

65{ return jacobi_30_00_eval_deriv(n, x); }

◆ eval_deriv() [14/16]

Real libMesh::InfFE< 1, LEGENDRE, CARTESIAN >::eval_deriv ( Real  x,
Order  ,
unsigned  n 
)
protected

Definition at line 65 of file inf_fe_legendre_eval.C.

65{ return legendre_eval_deriv(n, x); }

◆ eval_deriv() [15/16]

Real libMesh::InfFE< 2, LEGENDRE, CARTESIAN >::eval_deriv ( Real  x,
Order  ,
unsigned  n 
)
protected

Definition at line 66 of file inf_fe_legendre_eval.C.

66{ return legendre_eval_deriv(n, x); }

◆ eval_deriv() [16/16]

Real libMesh::InfFE< 3, LEGENDRE, CARTESIAN >::eval_deriv ( Real  x,
Order  ,
unsigned  n 
)
protected

Definition at line 67 of file inf_fe_legendre_eval.C.

67{ return legendre_eval_deriv(n, x); }

◆ get_continuity()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual FEContinuity libMesh::InfFE< Dim, T_radial, T_map >::get_continuity ( ) const
inlineoverridevirtual
Returns
The continuity of the element.

Implements libMesh::FEAbstract.

Definition at line 434 of file inf_fe.h.

435 { return C_ZERO; } // FIXME - is this true??

References libMesh::C_ZERO.

◆ get_curl_phi()

template<typename OutputType >
virtual_for_inffe const std::vector< std::vector< OutputShape > > & libMesh::FEGenericBase< OutputType >::get_curl_phi ( ) const
inlineinherited
Returns
The curl of the shape function at the quadrature points.

Definition at line 252 of file fe_base.h.

253 { libmesh_assert(!calculations_started || calculate_curl_phi);
254 calculate_curl_phi = calculate_dphiref = true; return curl_phi; }
libMesh::FEGenericBase::curl_phi
std::vector< std::vector< OutputShape > > curl_phi
Shape function curl values.
Definition fe_base.h:631

References libMesh::FEAbstract::calculate_curl_phi, libMesh::FEAbstract::calculate_dphiref, libMesh::FEAbstract::calculations_started, libMesh::FEGenericBase< OutputType >::curl_phi, and libMesh::libmesh_assert().

Referenced by libMesh::ExactSolution::_compute_error(), libMesh::FEMContext::build_new_fe(), CurlCurlSystem::element_time_derivative(), CurlCurlSystem::init_context(), libMesh::FEMContext::interior_curl(), and libMesh::FEMContext::point_curl().

◆ get_curvatures()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual const std::vector< Real > & libMesh::InfFE< Dim, T_radial, T_map >::get_curvatures ( ) const
inlineoverridevirtual
Returns
The curvatures for use in face integration.

Definition at line 812 of file inf_fe.h.

813 { calculate_map = true; libmesh_not_implemented();}

References libMesh::FEAbstract::calculate_map.

◆ get_d2phi()

template<typename OutputType >
const std::vector< std::vector< OutputTensor > > & libMesh::FEGenericBase< OutputType >::get_d2phi ( ) const
inlineinherited
Returns
The shape function second derivatives at the quadrature points.

Definition at line 319 of file fe_base.h.

320 { libmesh_assert(!calculations_started || calculate_d2phi);
321 calculate_d2phi = calculate_dphiref = true; return d2phi; }

References libMesh::FEAbstract::calculate_d2phi, libMesh::FEAbstract::calculate_dphiref, libMesh::FEAbstract::calculations_started, libMesh::FEGenericBase< OutputType >::d2phi, and libMesh::libmesh_assert().

Referenced by libMesh::ExactSolution::_compute_error(), libMesh::FEMContext::build_new_fe(), libMesh::ExactErrorEstimator::find_squared_element_error(), libMesh::FEMContext::fixed_point_hessian(), libMesh::ParsedFEMFunction< Output >::init_context(), libMesh::LaplacianErrorEstimator::init_context(), libMesh::FEMContext::interior_hessians(), libMesh::LaplacianErrorEstimator::internal_side_integration(), libMesh::FEMContext::point_hessian(), libMesh::FEMContext::side_hessians(), and libMesh::FEMContext::some_hessian().

◆ get_d2phideta2()

template<typename OutputType >
const std::vector< std::vector< OutputShape > > & libMesh::FEGenericBase< OutputType >::get_d2phideta2 ( ) const
inlineinherited
Returns
The shape function second derivatives at the quadrature points, in reference coordinates

Definition at line 403 of file fe_base.h.

404 { libmesh_assert(!calculations_started || calculate_d2phi);
405 calculate_d2phi = calculate_dphiref = true; return d2phideta2; }
libMesh::FEGenericBase::d2phideta2
std::vector< std::vector< OutputShape > > d2phideta2
Shape function second derivatives in the eta direction.
Definition fe_base.h:695

References libMesh::FEAbstract::calculate_d2phi, libMesh::FEAbstract::calculate_dphiref, libMesh::FEAbstract::calculations_started, libMesh::FEGenericBase< OutputType >::d2phideta2, and libMesh::libmesh_assert().

Referenced by libMesh::H1FETransformation< OutputShape >::map_d2phi().

◆ get_d2phidetadzeta()

template<typename OutputType >
const std::vector< std::vector< OutputShape > > & libMesh::FEGenericBase< OutputType >::get_d2phidetadzeta ( ) const
inlineinherited
Returns
The shape function second derivatives at the quadrature points, in reference coordinates

Definition at line 411 of file fe_base.h.

412 { libmesh_assert(!calculations_started || calculate_d2phi);
413 calculate_d2phi = calculate_dphiref = true; return d2phidetadzeta; }
libMesh::FEGenericBase::d2phidetadzeta
std::vector< std::vector< OutputShape > > d2phidetadzeta
Shape function second derivatives in the eta-zeta direction.
Definition fe_base.h:700

References libMesh::FEAbstract::calculate_d2phi, libMesh::FEAbstract::calculate_dphiref, libMesh::FEAbstract::calculations_started, libMesh::FEGenericBase< OutputType >::d2phidetadzeta, and libMesh::libmesh_assert().

Referenced by libMesh::H1FETransformation< OutputShape >::map_d2phi().

◆ get_d2phidx2()

template<typename OutputType >
const std::vector< std::vector< OutputShape > > & libMesh::FEGenericBase< OutputType >::get_d2phidx2 ( ) const
inlineinherited
Returns
The shape function second derivatives at the quadrature points.

Definition at line 331 of file fe_base.h.

332 { libmesh_assert(!calculations_started || calculate_d2phi);
333 calculate_d2phi = calculate_dphiref = true; return d2phidx2; }
libMesh::FEGenericBase::d2phidx2
std::vector< std::vector< OutputShape > > d2phidx2
Shape function second derivatives in the x direction.
Definition fe_base.h:710

References libMesh::FEAbstract::calculate_d2phi, libMesh::FEAbstract::calculate_dphiref, libMesh::FEAbstract::calculations_started, libMesh::FEGenericBase< OutputType >::d2phidx2, and libMesh::libmesh_assert().

◆ get_d2phidxdy()

template<typename OutputType >
const std::vector< std::vector< OutputShape > > & libMesh::FEGenericBase< OutputType >::get_d2phidxdy ( ) const
inlineinherited
Returns
The shape function second derivatives at the quadrature points.

Definition at line 339 of file fe_base.h.

340 { libmesh_assert(!calculations_started || calculate_d2phi);
341 calculate_d2phi = calculate_dphiref = true; return d2phidxdy; }
libMesh::FEGenericBase::d2phidxdy
std::vector< std::vector< OutputShape > > d2phidxdy
Shape function second derivatives in the x-y direction.
Definition fe_base.h:715

References libMesh::FEAbstract::calculate_d2phi, libMesh::FEAbstract::calculate_dphiref, libMesh::FEAbstract::calculations_started, libMesh::FEGenericBase< OutputType >::d2phidxdy, and libMesh::libmesh_assert().

◆ get_d2phidxdz()

template<typename OutputType >
const std::vector< std::vector< OutputShape > > & libMesh::FEGenericBase< OutputType >::get_d2phidxdz ( ) const
inlineinherited
Returns
The shape function second derivatives at the quadrature points.

Definition at line 347 of file fe_base.h.

348 { libmesh_assert(!calculations_started || calculate_d2phi);
349 calculate_d2phi = calculate_dphiref = true; return d2phidxdz; }
libMesh::FEGenericBase::d2phidxdz
std::vector< std::vector< OutputShape > > d2phidxdz
Shape function second derivatives in the x-z direction.
Definition fe_base.h:720

References libMesh::FEAbstract::calculate_d2phi, libMesh::FEAbstract::calculate_dphiref, libMesh::FEAbstract::calculations_started, libMesh::FEGenericBase< OutputType >::d2phidxdz, and libMesh::libmesh_assert().

◆ get_d2phidxi2()

template<typename OutputType >
const std::vector< std::vector< OutputShape > > & libMesh::FEGenericBase< OutputType >::get_d2phidxi2 ( ) const
inlineinherited
Returns
The shape function second derivatives at the quadrature points, in reference coordinates

Definition at line 379 of file fe_base.h.

380 { libmesh_assert(!calculations_started || calculate_d2phi);
381 calculate_d2phi = calculate_dphiref = true; return d2phidxi2; }
libMesh::FEGenericBase::d2phidxi2
std::vector< std::vector< OutputShape > > d2phidxi2
Shape function second derivatives in the xi direction.
Definition fe_base.h:680

References libMesh::FEAbstract::calculate_d2phi, libMesh::FEAbstract::calculate_dphiref, libMesh::FEAbstract::calculations_started, libMesh::FEGenericBase< OutputType >::d2phidxi2, and libMesh::libmesh_assert().

Referenced by libMesh::H1FETransformation< OutputShape >::map_d2phi().

◆ get_d2phidxideta()

template<typename OutputType >
const std::vector< std::vector< OutputShape > > & libMesh::FEGenericBase< OutputType >::get_d2phidxideta ( ) const
inlineinherited
Returns
The shape function second derivatives at the quadrature points, in reference coordinates

Definition at line 387 of file fe_base.h.

388 { libmesh_assert(!calculations_started || calculate_d2phi);
389 calculate_d2phi = calculate_dphiref = true; return d2phidxideta; }
libMesh::FEGenericBase::d2phidxideta
std::vector< std::vector< OutputShape > > d2phidxideta
Shape function second derivatives in the xi-eta direction.
Definition fe_base.h:685

References libMesh::FEAbstract::calculate_d2phi, libMesh::FEAbstract::calculate_dphiref, libMesh::FEAbstract::calculations_started, libMesh::FEGenericBase< OutputType >::d2phidxideta, and libMesh::libmesh_assert().

Referenced by libMesh::H1FETransformation< OutputShape >::map_d2phi().

◆ get_d2phidxidzeta()

template<typename OutputType >
const std::vector< std::vector< OutputShape > > & libMesh::FEGenericBase< OutputType >::get_d2phidxidzeta ( ) const
inlineinherited
Returns
The shape function second derivatives at the quadrature points, in reference coordinates

Definition at line 395 of file fe_base.h.

396 { libmesh_assert(!calculations_started || calculate_d2phi);
397 calculate_d2phi = calculate_dphiref = true; return d2phidxidzeta; }
libMesh::FEGenericBase::d2phidxidzeta
std::vector< std::vector< OutputShape > > d2phidxidzeta
Shape function second derivatives in the xi-zeta direction.
Definition fe_base.h:690

References libMesh::FEAbstract::calculate_d2phi, libMesh::FEAbstract::calculate_dphiref, libMesh::FEAbstract::calculations_started, libMesh::FEGenericBase< OutputType >::d2phidxidzeta, and libMesh::libmesh_assert().

Referenced by libMesh::H1FETransformation< OutputShape >::map_d2phi().

◆ get_d2phidy2()

template<typename OutputType >
const std::vector< std::vector< OutputShape > > & libMesh::FEGenericBase< OutputType >::get_d2phidy2 ( ) const
inlineinherited
Returns
The shape function second derivatives at the quadrature points.

Definition at line 355 of file fe_base.h.

356 { libmesh_assert(!calculations_started || calculate_d2phi);
357 calculate_d2phi = calculate_dphiref = true; return d2phidy2; }
libMesh::FEGenericBase::d2phidy2
std::vector< std::vector< OutputShape > > d2phidy2
Shape function second derivatives in the y direction.
Definition fe_base.h:725

References libMesh::FEAbstract::calculate_d2phi, libMesh::FEAbstract::calculate_dphiref, libMesh::FEAbstract::calculations_started, libMesh::FEGenericBase< OutputType >::d2phidy2, and libMesh::libmesh_assert().

◆ get_d2phidydz()

template<typename OutputType >
const std::vector< std::vector< OutputShape > > & libMesh::FEGenericBase< OutputType >::get_d2phidydz ( ) const
inlineinherited
Returns
The shape function second derivatives at the quadrature points.

Definition at line 363 of file fe_base.h.

364 { libmesh_assert(!calculations_started || calculate_d2phi);
365 calculate_d2phi = calculate_dphiref = true; return d2phidydz; }
libMesh::FEGenericBase::d2phidydz
std::vector< std::vector< OutputShape > > d2phidydz
Shape function second derivatives in the y-z direction.
Definition fe_base.h:730

References libMesh::FEAbstract::calculate_d2phi, libMesh::FEAbstract::calculate_dphiref, libMesh::FEAbstract::calculations_started, libMesh::FEGenericBase< OutputType >::d2phidydz, and libMesh::libmesh_assert().

◆ get_d2phidz2()

template<typename OutputType >
const std::vector< std::vector< OutputShape > > & libMesh::FEGenericBase< OutputType >::get_d2phidz2 ( ) const
inlineinherited
Returns
The shape function second derivatives at the quadrature points.

Definition at line 371 of file fe_base.h.

372 { libmesh_assert(!calculations_started || calculate_d2phi);
373 calculate_d2phi = calculate_dphiref = true; return d2phidz2; }
libMesh::FEGenericBase::d2phidz2
std::vector< std::vector< OutputShape > > d2phidz2
Shape function second derivatives in the z direction.
Definition fe_base.h:735

References libMesh::FEAbstract::calculate_d2phi, libMesh::FEAbstract::calculate_dphiref, libMesh::FEAbstract::calculations_started, libMesh::FEGenericBase< OutputType >::d2phidz2, and libMesh::libmesh_assert().

◆ get_d2phidzeta2()

template<typename OutputType >
const std::vector< std::vector< OutputShape > > & libMesh::FEGenericBase< OutputType >::get_d2phidzeta2 ( ) const
inlineinherited
Returns
The shape function second derivatives at the quadrature points, in reference coordinates

Definition at line 419 of file fe_base.h.

420 { libmesh_assert(!calculations_started || calculate_d2phi);
421 calculate_d2phi = calculate_dphiref = true; return d2phidzeta2; }
libMesh::FEGenericBase::d2phidzeta2
std::vector< std::vector< OutputShape > > d2phidzeta2
Shape function second derivatives in the zeta direction.
Definition fe_base.h:705

References libMesh::FEAbstract::calculate_d2phi, libMesh::FEAbstract::calculate_dphiref, libMesh::FEAbstract::calculations_started, libMesh::FEGenericBase< OutputType >::d2phidzeta2, and libMesh::libmesh_assert().

Referenced by libMesh::H1FETransformation< OutputShape >::map_d2phi().

◆ get_d2xyzdeta2()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual const std::vector< RealGradient > & libMesh::InfFE< Dim, T_radial, T_map >::get_d2xyzdeta2 ( ) const
inlineoverridevirtual
Returns
The second partial derivatives in eta.

Definition at line 666 of file inf_fe.h.

667 { calculate_map = true; libmesh_not_implemented();}

References libMesh::FEAbstract::calculate_map.

◆ get_d2xyzdetadzeta()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual const std::vector< RealGradient > & libMesh::InfFE< Dim, T_radial, T_map >::get_d2xyzdetadzeta ( ) const
inlineoverridevirtual
Returns
The second partial derivatives in eta-zeta.

Definition at line 686 of file inf_fe.h.

687 { calculate_map = true; libmesh_not_implemented();}

References libMesh::FEAbstract::calculate_map.

◆ get_d2xyzdxi2()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual const std::vector< RealGradient > & libMesh::InfFE< Dim, T_radial, T_map >::get_d2xyzdxi2 ( ) const
inlineoverridevirtual
Returns
The second partial derivatives in xi.

Definition at line 661 of file inf_fe.h.

662 { calculate_map = true; libmesh_not_implemented();}

References libMesh::FEAbstract::calculate_map.

◆ get_d2xyzdxideta()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual const std::vector< RealGradient > & libMesh::InfFE< Dim, T_radial, T_map >::get_d2xyzdxideta ( ) const
inlineoverridevirtual
Returns
The second partial derivatives in xi-eta.

Definition at line 676 of file inf_fe.h.

677 { calculate_map = true; libmesh_not_implemented();}

References libMesh::FEAbstract::calculate_map.

◆ get_d2xyzdxidzeta()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual const std::vector< RealGradient > & libMesh::InfFE< Dim, T_radial, T_map >::get_d2xyzdxidzeta ( ) const
inlineoverridevirtual
Returns
The second partial derivatives in xi-zeta.

Definition at line 681 of file inf_fe.h.

682 { calculate_map = true; libmesh_not_implemented();}

References libMesh::FEAbstract::calculate_map.

◆ get_d2xyzdzeta2()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual const std::vector< RealGradient > & libMesh::InfFE< Dim, T_radial, T_map >::get_d2xyzdzeta2 ( ) const
inlineoverridevirtual
Returns
The second partial derivatives in zeta.

Definition at line 671 of file inf_fe.h.

672 { calculate_map = true; libmesh_not_implemented();}

References libMesh::FEAbstract::calculate_map.

◆ get_detadx()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual const std::vector< Real > & libMesh::InfFE< Dim, T_radial, T_map >::get_detadx ( ) const
inlineoverridevirtual
Returns
The deta/dx entry in the transformation matrix from physical to local coordinates.

Definition at line 721 of file inf_fe.h.

722 { libmesh_assert(!calculations_started || calculate_map);
723 calculate_map = true; return detadx_map;}

References libMesh::FEAbstract::calculate_map, libMesh::FEAbstract::calculations_started, libMesh::InfFE< Dim, T_radial, T_map >::detadx_map, and libMesh::libmesh_assert().

◆ get_detady()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual const std::vector< Real > & libMesh::InfFE< Dim, T_radial, T_map >::get_detady ( ) const
inlineoverridevirtual
Returns
The deta/dy entry in the transformation matrix from physical to local coordinates.

Definition at line 730 of file inf_fe.h.

731 { libmesh_assert(!calculations_started || calculate_map);
732 calculate_map = true; return detady_map;}

References libMesh::FEAbstract::calculate_map, libMesh::FEAbstract::calculations_started, libMesh::InfFE< Dim, T_radial, T_map >::detady_map, and libMesh::libmesh_assert().

◆ get_detadz()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual const std::vector< Real > & libMesh::InfFE< Dim, T_radial, T_map >::get_detadz ( ) const
inlineoverridevirtual
Returns
The deta/dx entry in the transformation matrix from physical to local coordinates.

Definition at line 739 of file inf_fe.h.

740 { libmesh_assert(!calculations_started || calculate_map);
741 calculate_map = true; return detadz_map;}

References libMesh::FEAbstract::calculate_map, libMesh::FEAbstract::calculations_started, libMesh::InfFE< Dim, T_radial, T_map >::detadz_map, and libMesh::libmesh_assert().

◆ get_dim()

unsigned int libMesh::FEAbstract::get_dim ( ) const
inlineinherited
Returns
the dimension of this FE

Definition at line 258 of file fe_abstract.h.

259 { return dim; }

References libMesh::FEAbstract::dim.

◆ get_div_phi()

template<typename OutputType >
virtual_for_inffe const std::vector< std::vector< OutputDivergence > > & libMesh::FEGenericBase< OutputType >::get_div_phi ( ) const
inlineinherited
Returns
The divergence of the shape function at the quadrature points.

Definition at line 261 of file fe_base.h.

262 { libmesh_assert(!calculations_started || calculate_div_phi);
263 calculate_div_phi = calculate_dphiref = true; return div_phi; }
libMesh::FEGenericBase::div_phi
std::vector< std::vector< OutputDivergence > > div_phi
Shape function divergence values.
Definition fe_base.h:636

References libMesh::FEAbstract::calculate_div_phi, libMesh::FEAbstract::calculate_dphiref, libMesh::FEAbstract::calculations_started, libMesh::FEGenericBase< OutputType >::div_phi, and libMesh::libmesh_assert().

Referenced by libMesh::ExactSolution::_compute_error(), and libMesh::FEMContext::interior_div().

◆ get_dphase()

template<typename OutputType >
const std::vector< OutputGradient > & libMesh::FEGenericBase< OutputType >::get_dphase ( ) const
inlineinherited
Returns
The global first derivative of the phase term which is used in infinite elements, evaluated at the quadrature points.

In case of the general finite element class FE this field is initialized to all zero, so that the variational formulation for an infinite element produces correct element matrices for a mesh using both finite and infinite elements.

Definition at line 437 of file fe_base.h.

438 { return dphase; }

References libMesh::FEGenericBase< OutputType >::dphase.

Referenced by assemble_SchroedingerEquation(), and assemble_wave().

◆ get_dphi()

template<typename OutputType >
const std::vector< std::vector< OutputGradient > > & libMesh::FEGenericBase< OutputType >::get_dphi ( ) const
inlineinherited
Returns
The shape function derivatives at the quadrature points.

Definition at line 230 of file fe_base.h.

231 { libmesh_assert(!calculations_started || calculate_dphi);
232 calculate_dphi = calculate_dphiref = true; return dphi; }

References libMesh::FEAbstract::calculate_dphi, libMesh::FEAbstract::calculate_dphiref, libMesh::FEAbstract::calculations_started, libMesh::FEGenericBase< OutputType >::dphi, and libMesh::libmesh_assert().

Referenced by libMesh::ExactSolution::_compute_error(), assembly_with_dg_fem_context(), libMesh::FEMContext::build_new_fe(), libMesh::GenericProjector< FFunctor, GFunctor, FValue, ProjectionAction >::SubProjector::construct_projection(), CoupledSystem::element_constraint(), NavierSystem::element_constraint(), LaplaceSystem::element_time_derivative(), CoupledSystem::element_time_derivative(), HeatSystem::element_time_derivative(), PoissonSystem::element_time_derivative(), NavierSystem::element_time_derivative(), SolidSystem::element_time_derivative(), ElasticitySystem::element_time_derivative(), SigmaPhysics::element_time_derivative(), libMesh::OldSolutionCoefs< Output, point_output >::eval_at_point(), libMesh::ExactErrorEstimator::find_squared_element_error(), libMesh::FEMContext::fixed_point_gradient(), libMesh::FEGenericBase< OutputType >::get_dphi_over_decay(), libMesh::FEGenericBase< OutputType >::get_dphi_over_decayxR(), libMesh::ParsedFEMFunction< Output >::init_context(), LaplaceSystem::init_context(), CoupledSystem::init_context(), HeatSystem::init_context(), PoissonSystem::init_context(), NavierSystem::init_context(), SolidSystem::init_context(), ElasticitySystem::init_context(), SigmaPhysics::init_context(), ElasticityRBConstruction::init_context(), libMesh::KellyErrorEstimator::init_context(), HilbertSystem::init_context(), libMesh::FEMContext::interior_gradients(), libMesh::FEMContext::point_gradient(), libMesh::FEGenericBase< OutputType >::request_dphi(), libMesh::FEMContext::side_gradient(), libMesh::FEMContext::side_gradients(), LaplaceSystem::side_qoi_derivative(), and libMesh::FEMContext::some_gradient().

◆ get_dphi_over_decay()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual const std::vector< std::vector< OutputGradient > > & libMesh::InfFE< Dim, T_radial, T_map >::get_dphi_over_decay ( ) const
inlineoverridevirtual
Returns
the gradient of the shape function (see get_dphi()), but in case of InfFE, weighted with 1/decay.

In contrast to the shape function, its gradient stays finite when divided by the decay function.

Reimplemented from libMesh::FEGenericBase< OutputType >.

Definition at line 629 of file inf_fe.h.

630 { libmesh_assert(!calculations_started || calculate_dphi_scaled);
631 calculate_dphi_scaled = true; return dphixr_sq; }

References libMesh::InfFE< Dim, T_radial, T_map >::calculate_dphi_scaled, libMesh::FEAbstract::calculations_started, libMesh::InfFE< Dim, T_radial, T_map >::dphixr_sq, and libMesh::libmesh_assert().

◆ get_dphi_over_decayxR()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual const std::vector< std::vector< OutputGradient > > & libMesh::InfFE< Dim, T_radial, T_map >::get_dphi_over_decayxR ( ) const
inlineoverridevirtual
Returns
the gradient of the shape function (see get_dphi()), but in case of InfFE, weighted with r/decay. See get_phi_over_decayxR() for details.

Reimplemented from libMesh::FEGenericBase< OutputType >.

Definition at line 617 of file inf_fe.h.

618 { libmesh_assert(!calculations_started || calculate_dphi_scaled);
619 calculate_dphi_scaled = true; return dphixr; }

References libMesh::InfFE< Dim, T_radial, T_map >::calculate_dphi_scaled, libMesh::FEAbstract::calculations_started, libMesh::InfFE< Dim, T_radial, T_map >::dphixr, and libMesh::libmesh_assert().

◆ get_dphideta()

template<typename OutputType >
const std::vector< std::vector< OutputShape > > & libMesh::FEGenericBase< OutputType >::get_dphideta ( ) const
inlineinherited
Returns
The shape function eta-derivative at the quadrature points.

Definition at line 301 of file fe_base.h.

302 { libmesh_assert(!calculations_started || calculate_dphiref);
303 calculate_dphiref = true; return dphideta; }

References libMesh::FEAbstract::calculate_dphiref, libMesh::FEAbstract::calculations_started, libMesh::FEGenericBase< OutputType >::dphideta, and libMesh::libmesh_assert().

Referenced by libMesh::HCurlFETransformation< OutputShape >::map_curl(), libMesh::H1FETransformation< OutputShape >::map_curl(), libMesh::H1FETransformation< OutputShape >::map_d2phi(), libMesh::HDivFETransformation< OutputShape >::map_div(), libMesh::H1FETransformation< OutputShape >::map_div(), and libMesh::H1FETransformation< OutputShape >::map_dphi().

◆ get_dphidx()

template<typename OutputType >
const std::vector< std::vector< OutputShape > > & libMesh::FEGenericBase< OutputType >::get_dphidx ( ) const
inlineinherited
Returns
The shape function x-derivative at the quadrature points.

Definition at line 269 of file fe_base.h.

270 { libmesh_assert(!calculations_started || calculate_dphi);
271 calculate_dphi = calculate_dphiref = true; return dphidx; }

References libMesh::FEAbstract::calculate_dphi, libMesh::FEAbstract::calculate_dphiref, libMesh::FEAbstract::calculations_started, libMesh::FEGenericBase< OutputType >::dphidx, and libMesh::libmesh_assert().

◆ get_dphidxi()

template<typename OutputType >
const std::vector< std::vector< OutputShape > > & libMesh::FEGenericBase< OutputType >::get_dphidxi ( ) const
inlineinherited
Returns
The shape function xi-derivative at the quadrature points.

Definition at line 293 of file fe_base.h.

294 { libmesh_assert(!calculations_started || calculate_dphiref);
295 calculate_dphiref = true; return dphidxi; }

References libMesh::FEAbstract::calculate_dphiref, libMesh::FEAbstract::calculations_started, libMesh::FEGenericBase< OutputType >::dphidxi, and libMesh::libmesh_assert().

Referenced by libMesh::HCurlFETransformation< OutputShape >::map_curl(), libMesh::H1FETransformation< OutputShape >::map_curl(), libMesh::H1FETransformation< OutputShape >::map_d2phi(), libMesh::HDivFETransformation< OutputShape >::map_div(), libMesh::H1FETransformation< OutputShape >::map_div(), and libMesh::H1FETransformation< OutputShape >::map_dphi().

◆ get_dphidy()

template<typename OutputType >
const std::vector< std::vector< OutputShape > > & libMesh::FEGenericBase< OutputType >::get_dphidy ( ) const
inlineinherited
Returns
The shape function y-derivative at the quadrature points.

Definition at line 277 of file fe_base.h.

278 { libmesh_assert(!calculations_started || calculate_dphi);
279 calculate_dphi = calculate_dphiref = true; return dphidy; }

References libMesh::FEAbstract::calculate_dphi, libMesh::FEAbstract::calculate_dphiref, libMesh::FEAbstract::calculations_started, libMesh::FEGenericBase< OutputType >::dphidy, and libMesh::libmesh_assert().

◆ get_dphidz()

template<typename OutputType >
const std::vector< std::vector< OutputShape > > & libMesh::FEGenericBase< OutputType >::get_dphidz ( ) const
inlineinherited
Returns
The shape function z-derivative at the quadrature points.

Definition at line 285 of file fe_base.h.

286 { libmesh_assert(!calculations_started || calculate_dphi);
287 calculate_dphi = calculate_dphiref = true; return dphidz; }

References libMesh::FEAbstract::calculate_dphi, libMesh::FEAbstract::calculate_dphiref, libMesh::FEAbstract::calculations_started, libMesh::FEGenericBase< OutputType >::dphidz, and libMesh::libmesh_assert().

◆ get_dphidzeta()

template<typename OutputType >
const std::vector< std::vector< OutputShape > > & libMesh::FEGenericBase< OutputType >::get_dphidzeta ( ) const
inlineinherited
Returns
The shape function zeta-derivative at the quadrature points.

Definition at line 309 of file fe_base.h.

310 { libmesh_assert(!calculations_started || calculate_dphiref);
311 calculate_dphiref = true; return dphidzeta; }

References libMesh::FEAbstract::calculate_dphiref, libMesh::FEAbstract::calculations_started, libMesh::FEGenericBase< OutputType >::dphidzeta, and libMesh::libmesh_assert().

Referenced by libMesh::HCurlFETransformation< OutputShape >::map_curl(), libMesh::H1FETransformation< OutputShape >::map_curl(), libMesh::H1FETransformation< OutputShape >::map_d2phi(), libMesh::HDivFETransformation< OutputShape >::map_div(), libMesh::H1FETransformation< OutputShape >::map_div(), and libMesh::H1FETransformation< OutputShape >::map_dphi().

◆ get_dual_coeff()

template<typename OutputType >
const DenseMatrix< Real > & libMesh::FEGenericBase< OutputType >::get_dual_coeff ( ) const
inlineinherited

Definition at line 244 of file fe_base.h.

245 { return dual_coeff; }

References libMesh::FEGenericBase< OutputType >::dual_coeff.

◆ get_dual_d2phi()

template<typename OutputType >
const std::vector< std::vector< OutputTensor > > & libMesh::FEGenericBase< OutputType >::get_dual_d2phi ( ) const
inlineinherited

Definition at line 323 of file fe_base.h.

324 { libmesh_assert(!calculations_started || calculate_d2phi);
325 calculate_d2phi = calculate_dual = calculate_dphiref = true; return dual_d2phi; }
libMesh::FEAbstract::calculate_dual
bool calculate_dual
Are we calculating dual basis?
Definition fe_abstract.h:671

References libMesh::FEAbstract::calculate_d2phi, libMesh::FEAbstract::calculate_dphiref, libMesh::FEAbstract::calculate_dual, libMesh::FEAbstract::calculations_started, libMesh::FEGenericBase< OutputType >::dual_d2phi, and libMesh::libmesh_assert().

◆ get_dual_dphi()

template<typename OutputType >
const std::vector< std::vector< OutputGradient > > & libMesh::FEGenericBase< OutputType >::get_dual_dphi ( ) const
inlineinherited

Definition at line 234 of file fe_base.h.

235 { libmesh_assert(!calculations_started || calculate_dphi);
236 calculate_dphi = calculate_dual = calculate_dphiref = true; return dual_dphi; }

References libMesh::FEAbstract::calculate_dphi, libMesh::FEAbstract::calculate_dphiref, libMesh::FEAbstract::calculate_dual, libMesh::FEAbstract::calculations_started, libMesh::FEGenericBase< OutputType >::dual_dphi, and libMesh::libmesh_assert().

Referenced by libMesh::FEGenericBase< OutputType >::request_dual_dphi().

◆ get_dual_phi()

template<typename OutputType >
const std::vector< std::vector< OutputShape > > & libMesh::FEGenericBase< OutputType >::get_dual_phi ( ) const
inlineinherited

Definition at line 211 of file fe_base.h.

212 {
213 libmesh_assert(!calculations_started || calculate_dual);
214 calculate_dual = true;
215 // Dual phi computation relies on primal phi computation
216 this->request_phi();
217 return dual_phi;
218 }
libMesh::FEGenericBase::request_phi
virtual void request_phi() const override
request phi calculations
Definition fe_base.h:220

References libMesh::FEAbstract::calculate_dual, libMesh::FEAbstract::calculations_started, libMesh::FEGenericBase< OutputType >::dual_phi, libMesh::libmesh_assert(), and libMesh::FEGenericBase< OutputType >::request_phi().

Referenced by libMesh::FEGenericBase< OutputType >::request_dual_phi().

◆ get_dxidx()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual const std::vector< Real > & libMesh::InfFE< Dim, T_radial, T_map >::get_dxidx ( ) const
inlineoverridevirtual
Returns
The dxi/dx entry in the transformation matrix from physical to local coordinates.

Definition at line 694 of file inf_fe.h.

695 {libmesh_assert(!calculations_started || calculate_map);
696 calculate_map = true; return dxidx_map;}

References libMesh::FEAbstract::calculate_map, libMesh::FEAbstract::calculations_started, libMesh::InfFE< Dim, T_radial, T_map >::dxidx_map, and libMesh::libmesh_assert().

◆ get_dxidy()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual const std::vector< Real > & libMesh::InfFE< Dim, T_radial, T_map >::get_dxidy ( ) const
inlineoverridevirtual
Returns
The dxi/dy entry in the transformation matrix from physical to local coordinates.

Definition at line 703 of file inf_fe.h.

704 {libmesh_assert(!calculations_started || calculate_map);
705 calculate_map = true; return dxidy_map;}

References libMesh::FEAbstract::calculate_map, libMesh::FEAbstract::calculations_started, libMesh::InfFE< Dim, T_radial, T_map >::dxidy_map, and libMesh::libmesh_assert().

◆ get_dxidz()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual const std::vector< Real > & libMesh::InfFE< Dim, T_radial, T_map >::get_dxidz ( ) const
inlineoverridevirtual
Returns
The dxi/dz entry in the transformation matrix from physical to local coordinates.

Definition at line 712 of file inf_fe.h.

713 { libmesh_assert(!calculations_started || calculate_map);
714 calculate_map = true; return dxidz_map;}

References libMesh::FEAbstract::calculate_map, libMesh::FEAbstract::calculations_started, libMesh::InfFE< Dim, T_radial, T_map >::dxidz_map, and libMesh::libmesh_assert().

◆ get_dxyzdeta()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual const std::vector< RealGradient > & libMesh::InfFE< Dim, T_radial, T_map >::get_dxyzdeta ( ) const
inlineoverridevirtual
Returns
The element tangents in eta-direction at the quadrature points.

Definition at line 646 of file inf_fe.h.

647 { calculate_map = true; libmesh_not_implemented();}

References libMesh::FEAbstract::calculate_map.

◆ get_dxyzdxi()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual const std::vector< RealGradient > & libMesh::InfFE< Dim, T_radial, T_map >::get_dxyzdxi ( ) const
inlineoverridevirtual
Returns
The element tangents in xi-direction at the quadrature points.

Definition at line 638 of file inf_fe.h.

639 { calculate_map = true; libmesh_not_implemented();}

References libMesh::FEAbstract::calculate_map.

◆ get_dxyzdzeta()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual const std::vector< RealGradient > & libMesh::InfFE< Dim, T_radial, T_map >::get_dxyzdzeta ( ) const
inlineoverridevirtual
Returns
The element tangents in zeta-direction at the quadrature points.

Definition at line 654 of file inf_fe.h.

655 { calculate_map = true; libmesh_not_implemented();}

References libMesh::FEAbstract::calculate_map.

◆ get_dzetadx()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual const std::vector< Real > & libMesh::InfFE< Dim, T_radial, T_map >::get_dzetadx ( ) const
inlineoverridevirtual
Returns
The dzeta/dx entry in the transformation matrix from physical to local coordinates.

Definition at line 748 of file inf_fe.h.

749 { libmesh_assert(!calculations_started || calculate_map);
750 calculate_map = true; return dzetadx_map;}

References libMesh::FEAbstract::calculate_map, libMesh::FEAbstract::calculations_started, libMesh::InfFE< Dim, T_radial, T_map >::dzetadx_map, and libMesh::libmesh_assert().

◆ get_dzetady()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual const std::vector< Real > & libMesh::InfFE< Dim, T_radial, T_map >::get_dzetady ( ) const
inlineoverridevirtual
Returns
The dzeta/dy entry in the transformation matrix from physical to local coordinates.

Definition at line 757 of file inf_fe.h.

758 { libmesh_assert(!calculations_started || calculate_map);
759 calculate_map = true; return dzetady_map;}

References libMesh::FEAbstract::calculate_map, libMesh::FEAbstract::calculations_started, libMesh::InfFE< Dim, T_radial, T_map >::dzetady_map, and libMesh::libmesh_assert().

◆ get_dzetadz()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual const std::vector< Real > & libMesh::InfFE< Dim, T_radial, T_map >::get_dzetadz ( ) const
inlineoverridevirtual
Returns
The dzeta/dz entry in the transformation matrix from physical to local coordinates.

Definition at line 766 of file inf_fe.h.

767 { libmesh_assert(!calculations_started || calculate_map);
768 calculate_map = true; return dzetadz_map;}

References libMesh::FEAbstract::calculate_map, libMesh::FEAbstract::calculations_started, libMesh::InfFE< Dim, T_radial, T_map >::dzetadz_map, and libMesh::libmesh_assert().

◆ get_elem()

const Elem * libMesh::FEAbstract::get_elem ( ) const
inlineinherited
Returns
The element that the current shape functions have been calculated for. Useful in determining when shape functions must be recomputed.

Definition at line 496 of file fe_abstract.h.

496{ return _elem; }
libMesh::FEAbstract::_elem
const Elem * _elem
The element the current data structures were set up for.
Definition fe_abstract.h:740

References libMesh::FEAbstract::_elem.

◆ get_family()

FEFamily libMesh::FEAbstract::get_family ( ) const
inlineinherited
Returns
The finite element family of this element.

Definition at line 547 of file fe_abstract.h.

547{ return fe_type.family; }

References libMesh::FEType::family, and libMesh::FEAbstract::fe_type.

Referenced by libMesh::FE< Dim, T >::FE().

◆ get_fe_map() [1/2]

FEMap & libMesh::FEAbstract::get_fe_map ( )
inlineinherited

Definition at line 555 of file fe_abstract.h.

555{ return *_fe_map.get(); }
libMesh::FEAbstract::_fe_map
std::unique_ptr< FEMap > _fe_map
Definition fe_abstract.h:654

References libMesh::FEAbstract::_fe_map.

◆ get_fe_map() [2/2]

const FEMap & libMesh::FEAbstract::get_fe_map ( ) const
inlineinherited
Returns
The mapping object
Note
for InfFE, this gives a useless object.

Definition at line 554 of file fe_abstract.h.

554{ return *_fe_map.get(); }

References libMesh::FEAbstract::_fe_map.

Referenced by libMesh::VariationalSmootherSystem::init_context(), libMesh::H1FETransformation< OutputShape >::init_map_d2phi(), libMesh::HCurlFETransformation< OutputShape >::init_map_d2phi(), libMesh::HDivFETransformation< OutputShape >::init_map_d2phi(), libMesh::H1FETransformation< OutputShape >::init_map_dphi(), libMesh::HCurlFETransformation< OutputShape >::init_map_dphi(), libMesh::HDivFETransformation< OutputShape >::init_map_dphi(), libMesh::HCurlFETransformation< OutputShape >::init_map_phi(), libMesh::HDivFETransformation< OutputShape >::init_map_phi(), libMesh::HCurlFETransformation< OutputShape >::map_curl(), libMesh::H1FETransformation< OutputShape >::map_curl(), libMesh::H1FETransformation< OutputShape >::map_d2phi(), libMesh::HDivFETransformation< OutputShape >::map_div(), libMesh::H1FETransformation< OutputShape >::map_div(), libMesh::H1FETransformation< OutputShape >::map_dphi(), libMesh::HCurlFETransformation< OutputShape >::map_phi(), and libMesh::HDivFETransformation< OutputShape >::map_phi().

◆ get_fe_type()

FEType libMesh::FEAbstract::get_fe_type ( ) const
inlineinherited
Returns
The FE Type (approximation order and family) of the finite element.

Definition at line 520 of file fe_abstract.h.

520{ return fe_type; }

References libMesh::FEAbstract::fe_type.

Referenced by libMesh::RBConstruction::add_scaled_matrix_and_vector(), assemble_func(), assemble_SchroedingerEquation(), assemble_wave(), libMesh::FEMContext::build_new_fe(), libMesh::HCurlFETransformation< OutputShape >::map_phi(), libMesh::HDivFETransformation< OutputShape >::map_phi(), libMesh::H1FETransformation< OutputShape >::map_phi(), NavierSystem::side_constraint(), and libMesh::GenericProjector< FFunctor, GFunctor, FValue, ProjectionAction >::SubFunctor::SubFunctor().

◆ get_info()

std::string libMesh::ReferenceCounter::get_info ( )
staticinherited

Gets a string containing the reference information.

Definition at line 47 of file reference_counter.C.

48{
49#if defined(LIBMESH_ENABLE_REFERENCE_COUNTING) && defined(DEBUG)
50
51 std::ostringstream oss;
52
53 oss << '\n'
54 << " ---------------------------------------------------------------------------- \n"
55 << "| Reference count information |\n"
56 << " ---------------------------------------------------------------------------- \n";
57
58 for (const auto & [name, cd] : _counts)
59 oss << "| " << name << " reference count information:\n"
60 << "| Creations: " << cd.first << '\n'
61 << "| Destructions: " << cd.second << '\n';
62
63 oss << " ---------------------------------------------------------------------------- \n";
64
65 return oss.str();
66
67#else
68
69 return "";
70
71#endif
72}
libMesh::ReferenceCounter::_counts
static Counts _counts
Actually holds the data.
Definition reference_counter.h:124
libMesh::Quality::name
std::string name(const ElemQuality q)
This function returns a string containing some name for q.
Definition elem_quality.C:42

References libMesh::ReferenceCounter::_counts.

Referenced by libMesh::ReferenceCounter::print_info().

◆ get_JxW()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual const std::vector< Real > & libMesh::InfFE< Dim, T_radial, T_map >::get_JxW ( ) const
inlineoverridevirtual
Returns
the Jacobian times quadrature weight. Due to the divergence with increasing radial distance, this quantity is numerically unstable. Thus, it is safer to use get_JxWxdecay_sq() instead!

Definition at line 577 of file inf_fe.h.

578 {
579 libmesh_assert(!calculations_started || calculate_jxw);
580 calculate_jxw = true;
581 return this->JxW;
582 }

References libMesh::InfFE< Dim, T_radial, T_map >::calculate_jxw, libMesh::FEAbstract::calculations_started, libMesh::InfFE< Dim, T_radial, T_map >::JxW, and libMesh::libmesh_assert().

◆ get_JxWxdecay_sq()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual const std::vector< Real > & libMesh::InfFE< Dim, T_radial, T_map >::get_JxWxdecay_sq ( ) const
inlineoverridevirtual
Returns
Jacobian times quadrature weight times square of the decaying function \( decay= r^{-\frac{dim+1}{2}}\)

This function is the variant of get_JxW() for InfFE. Since J diverges there, a respectize decay-function must be applied to obtain well-defined quantities.

Reimplemented from libMesh::FEAbstract.

Definition at line 592 of file inf_fe.h.

593 { libmesh_assert(!calculations_started || calculate_map_scaled);
594 calculate_map_scaled = true; return this->JxWxdecay;}

References libMesh::InfFE< Dim, T_radial, T_map >::calculate_map_scaled, libMesh::FEAbstract::calculations_started, libMesh::InfFE< Dim, T_radial, T_map >::JxWxdecay, and libMesh::libmesh_assert().

◆ get_normals()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual const std::vector< Point > & libMesh::InfFE< Dim, T_radial, T_map >::get_normals ( ) const
inlineoverridevirtual
Returns
The outward pointing normal vectors for face integration.

Definition at line 804 of file inf_fe.h.

805 { libmesh_assert(!calculations_started || calculate_map);
806 calculate_map = true; return normals; }

References libMesh::FEAbstract::calculate_map, libMesh::FEAbstract::calculations_started, libMesh::libmesh_assert(), and libMesh::InfFE< Dim, T_radial, T_map >::normals.

◆ get_nothing()

void libMesh::FEAbstract::get_nothing ( ) const
inlineinherited
Returns
nothing, but lets the FE know you're explicitly prerequesting calculations. This is useful when you only want the FE for n_quadrature_points, n_dofs_on_side, or other methods that don't require shape function calculations, but you don't want libMesh "backwards compatibility" mode to assume you've made no prerequests and need to calculate everything.

Definition at line 269 of file fe_abstract.h.

270 { calculate_nothing = true; }

References libMesh::FEAbstract::calculate_nothing.

Referenced by libMesh::ExactSolution::_compute_error(), libMesh::ParsedFEMFunction< Output >::init_context(), libMesh::WrappedFunctor< Output >::init_context(), CoupledSystemQoI::init_context(), CoupledSystem::init_context(), HeatSystem::init_context(), NavierSystem::init_context(), ElasticitySystem::init_context(), SigmaPhysics::init_context(), HilbertSystem::init_context(), libMesh::VariationalSmootherSystem::init_context(), and Integrate::operator()().

◆ get_order()

Order libMesh::FEAbstract::get_order ( ) const
inlineinherited
Returns
The approximation order of the finite element.

Definition at line 525 of file fe_abstract.h.

526 { return fe_type.order + _p_level; }
libMesh::FEAbstract::_p_level
unsigned int _p_level
The p refinement level the current data structures are set up for.
Definition fe_abstract.h:757

References libMesh::FEAbstract::_p_level, libMesh::FEAbstract::fe_type, and libMesh::FEType::order.

◆ get_p_level()

unsigned int libMesh::FEAbstract::get_p_level ( ) const
inlineinherited
Returns
The p refinement level that the current shape functions have been calculated for.

Definition at line 515 of file fe_abstract.h.

515{ return _p_level; }

References libMesh::FEAbstract::_p_level.

◆ get_phi()

template<typename OutputType >
const std::vector< std::vector< OutputShape > > & libMesh::FEGenericBase< OutputType >::get_phi ( ) const
inlineinherited
Returns
The shape function values at the quadrature points on the element.

Definition at line 207 of file fe_base.h.

208 { libmesh_assert(!calculations_started || calculate_phi);
209 calculate_phi = true; return phi; }

References libMesh::FEAbstract::calculate_phi, libMesh::FEAbstract::calculations_started, libMesh::libmesh_assert(), and libMesh::FEGenericBase< OutputType >::phi.

Referenced by libMesh::ExactSolution::_compute_error(), assembly_with_dg_fem_context(), libMesh::FEMContext::build_new_fe(), compute_enriched_soln(), libMesh::FirstOrderUnsteadySolver::compute_second_order_eqns(), libMesh::GenericProjector< FFunctor, GFunctor, FValue, ProjectionAction >::SubProjector::construct_projection(), CoupledSystem::element_constraint(), NavierSystem::element_constraint(), HeatSystem::element_qoi_derivative(), LaplaceSystem::element_qoi_derivative(), LaplaceQoI::element_qoi_derivative(), CoupledSystem::element_time_derivative(), HeatSystem::element_time_derivative(), PoissonSystem::element_time_derivative(), NavierSystem::element_time_derivative(), ElasticitySystem::element_time_derivative(), CurlCurlSystem::element_time_derivative(), SigmaPhysics::element_time_derivative(), libMesh::OldSolutionCoefs< Output, point_output >::eval_at_point(), libMesh::ExactErrorEstimator::find_squared_element_error(), libMesh::FEMContext::fixed_point_value(), libMesh::FEGenericBase< OutputType >::get_phi_over_decayxR(), libMesh::ParsedFEMFunction< Output >::init_context(), CoupledSystemQoI::init_context(), libMesh::FEMSystem::init_context(), LaplaceSystem::init_context(), LaplaceQoI::init_context(), CoupledSystem::init_context(), HeatSystem::init_context(), PoissonSystem::init_context(), NavierSystem::init_context(), SolidSystem::init_context(), ElasticitySystem::init_context(), CurlCurlSystem::init_context(), SigmaPhysics::init_context(), ElasticityRBConstruction::init_context(), libMesh::DiscontinuityMeasure::init_context(), HilbertSystem::init_context(), libMesh::FEMContext::interior_values(), libMesh::FEMPhysics::mass_residual(), NavierSystem::mass_residual(), ElasticitySystem::mass_residual(), libMesh::FEMContext::point_value(), libMesh::FEGenericBase< OutputType >::request_phi(), LaplaceSystem::side_constraint(), CoupledSystemQoI::side_qoi_derivative(), SolidSystem::side_time_derivative(), ElasticitySystem::side_time_derivative(), CurlCurlSystem::side_time_derivative(), libMesh::FEMContext::side_values(), libMesh::FEMContext::some_value(), InfFERadialTest::testRefinement(), SlitMeshRefinedSystemTest::testRestart(), and SlitMeshRefinedSystemTest::testSystem().

◆ get_phi_over_decayxR()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual const std::vector< std::vector< OutputShape > > & libMesh::InfFE< Dim, T_radial, T_map >::get_phi_over_decayxR ( ) const
inlineoverridevirtual
Returns
The shape function phi weighted by r/decay where \( decay = r^{-\frac{dim+1}{2}} \)

To compensate for the decay function applied to the Jacobian (see get_JxWxdecay_sq), the wave function phi should be divided by this function.

The factor r must be compensated for by the Sobolev weight. (i.e. by using get_Sobolev_weightxR_sq())

Reimplemented from libMesh::FEGenericBase< OutputType >.

Definition at line 607 of file inf_fe.h.

608 { libmesh_assert(!calculations_started || calculate_phi_scaled);
609 calculate_phi_scaled = true; return phixr; }

References libMesh::InfFE< Dim, T_radial, T_map >::calculate_phi_scaled, libMesh::FEAbstract::calculations_started, libMesh::libmesh_assert(), and libMesh::InfFE< Dim, T_radial, T_map >::phixr.

◆ get_refspace_nodes()

void libMesh::FEAbstract::get_refspace_nodes ( const ElemType  t,
std::vector< Point > &  nodes 
)
staticinherited
Returns
The reference space coordinates of nodes based on the element type.

Definition at line 400 of file fe_abstract.C.

401{
402 const unsigned int n_nodes = Elem::type_to_n_nodes_map[itemType];
403 if (n_nodes == invalid_uint)
404 libmesh_error_msg("Number of nodes is not well-defined for " <<
405 Utility::enum_to_string(itemType));
406
407 nodes.resize(n_nodes);
408 switch(itemType)
409 {
410 case NODEELEM:
411 {
412 nodes[0] = Point (0.,0.,0.);
413 return;
414 }
415 case EDGE3:
416 {
417 nodes[2] = Point (0.,0.,0.);
418 libmesh_fallthrough();
419 }
420 case EDGE2:
421 {
422 nodes[0] = Point (-1.,0.,0.);
423 nodes[1] = Point (1.,0.,0.);
424 return;
425 }
426 case EDGE4: // not nested with EDGE3
427 {
428 nodes[0] = Point (-1.,0.,0.);
429 nodes[1] = Point (1.,0.,0.);
430 nodes[2] = Point (-1./3.,0.,0.);
431 nodes[3] - Point (1./3.,0.,0.);
432 return;
433 }
434 case TRI7:
435 {
436 nodes[6] = Point (1./3.,1./3.,0.);
437 libmesh_fallthrough();
438 }
439 case TRI6:
440 {
441 nodes[3] = Point (.5,0.,0.);
442 nodes[4] = Point (.5,.5,0.);
443 nodes[5] = Point (0.,.5,0.);
444 libmesh_fallthrough();
445 }
446 case TRI3:
447 case TRISHELL3:
448 {
449 nodes[0] = Point (0.,0.,0.);
450 nodes[1] = Point (1.,0.,0.);
451 nodes[2] = Point (0.,1.,0.);
452 return;
453 }
454 case QUAD9:
455 case QUADSHELL9:
456 {
457 nodes[8] = Point (0.,0.,0.);
458 libmesh_fallthrough();
459 }
460 case QUAD8:
461 case QUADSHELL8:
462 {
463 nodes[4] = Point (0.,-1.,0.);
464 nodes[5] = Point (1.,0.,0.);
465 nodes[6] = Point (0.,1.,0.);
466 nodes[7] = Point (-1.,0.,0.);
467 libmesh_fallthrough();
468 }
469 case QUAD4:
470 case QUADSHELL4:
471 {
472 nodes[0] = Point (-1.,-1.,0.);
473 nodes[1] = Point (1.,-1.,0.);
474 nodes[2] = Point (1.,1.,0.);
475 nodes[3] = Point (-1.,1.,0.);
476 return;
477 }
478 case TET14:
479 {
480 nodes[10] = Point (1/Real(3),1/Real(3),0.);
481 nodes[11] = Point (1/Real(3),0.,1/Real(3));
482 nodes[12] = Point (1/Real(3),1/Real(3),1/Real(3));
483 nodes[13] = Point (0.,1/Real(3),1/Real(3));
484 libmesh_fallthrough();
485 }
486 case TET10:
487 {
488 nodes[4] = Point (.5,0.,0.);
489 nodes[5] = Point (.5,.5,0.);
490 nodes[6] = Point (0.,.5,0.);
491 nodes[7] = Point (0.,0.,.5);
492 nodes[8] = Point (.5,0.,.5);
493 nodes[9] = Point (0.,.5,.5);
494 libmesh_fallthrough();
495 }
496 case TET4:
497 {
498 nodes[0] = Point (0.,0.,0.);
499 nodes[1] = Point (1.,0.,0.);
500 nodes[2] = Point (0.,1.,0.);
501 nodes[3] = Point (0.,0.,1.);
502 return;
503 }
504 case HEX27:
505 {
506 nodes[20] = Point (0.,0.,-1.);
507 nodes[21] = Point (0.,-1.,0.);
508 nodes[22] = Point (1.,0.,0.);
509 nodes[23] = Point (0.,1.,0.);
510 nodes[24] = Point (-1.,0.,0.);
511 nodes[25] = Point (0.,0.,1.);
512 nodes[26] = Point (0.,0.,0.);
513 libmesh_fallthrough();
514 }
515 case HEX20:
516 {
517 nodes[8] = Point (0.,-1.,-1.);
518 nodes[9] = Point (1.,0.,-1.);
519 nodes[10] = Point (0.,1.,-1.);
520 nodes[11] = Point (-1.,0.,-1.);
521 nodes[12] = Point (-1.,-1.,0.);
522 nodes[13] = Point (1.,-1.,0.);
523 nodes[14] = Point (1.,1.,0.);
524 nodes[15] = Point (-1.,1.,0.);
525 nodes[16] = Point (0.,-1.,1.);
526 nodes[17] = Point (1.,0.,1.);
527 nodes[18] = Point (0.,1.,1.);
528 nodes[19] = Point (-1.,0.,1.);
529 libmesh_fallthrough();
530 }
531 case HEX8:
532 {
533 nodes[0] = Point (-1.,-1.,-1.);
534 nodes[1] = Point (1.,-1.,-1.);
535 nodes[2] = Point (1.,1.,-1.);
536 nodes[3] = Point (-1.,1.,-1.);
537 nodes[4] = Point (-1.,-1.,1.);
538 nodes[5] = Point (1.,-1.,1.);
539 nodes[6] = Point (1.,1.,1.);
540 nodes[7] = Point (-1.,1.,1.);
541 return;
542 }
543 case PRISM21:
544 {
545 nodes[20] = Point (1/Real(3),1/Real(3),0);
546 libmesh_fallthrough();
547 }
548 case PRISM20:
549 {
550 nodes[18] = Point (1/Real(3),1/Real(3),-1);
551 nodes[19] = Point (1/Real(3),1/Real(3),1);
552 libmesh_fallthrough();
553 }
554 case PRISM18:
555 {
556 nodes[15] = Point (.5,0.,0.);
557 nodes[16] = Point (.5,.5,0.);
558 nodes[17] = Point (0.,.5,0.);
559 libmesh_fallthrough();
560 }
561 case PRISM15:
562 {
563 nodes[6] = Point (.5,0.,-1.);
564 nodes[7] = Point (.5,.5,-1.);
565 nodes[8] = Point (0.,.5,-1.);
566 nodes[9] = Point (0.,0.,0.);
567 nodes[10] = Point (1.,0.,0.);
568 nodes[11] = Point (0.,1.,0.);
569 nodes[12] = Point (.5,0.,1.);
570 nodes[13] = Point (.5,.5,1.);
571 nodes[14] = Point (0.,.5,1.);
572 libmesh_fallthrough();
573 }
574 case PRISM6:
575 {
576 nodes[0] = Point (0.,0.,-1.);
577 nodes[1] = Point (1.,0.,-1.);
578 nodes[2] = Point (0.,1.,-1.);
579 nodes[3] = Point (0.,0.,1.);
580 nodes[4] = Point (1.,0.,1.);
581 nodes[5] = Point (0.,1.,1.);
582 return;
583 }
584 case PYRAMID18:
585 {
586 // triangle centers
587 nodes[14] = Point (-2/Real(3),0.,1/Real(3));
588 nodes[15] = Point (0.,2/Real(3),1/Real(3));
589 nodes[16] = Point (2/Real(3),0.,1/Real(3));
590 nodes[17] = Point (0.,-2/Real(3),1/Real(3));
591
592 libmesh_fallthrough();
593 }
594 case PYRAMID14:
595 {
596 // base center
597 nodes[13] = Point (0.,0.,0.);
598
599 libmesh_fallthrough();
600 }
601 case PYRAMID13:
602 {
603 // base midedge
604 nodes[5] = Point (0.,-1.,0.);
605 nodes[6] = Point (1.,0.,0.);
606 nodes[7] = Point (0.,1.,0.);
607 nodes[8] = Point (-1,0.,0.);
608
609 // lateral midedge
610 nodes[9] = Point (-.5,-.5,.5);
611 nodes[10] = Point (.5,-.5,.5);
612 nodes[11] = Point (.5,.5,.5);
613 nodes[12] = Point (-.5,.5,.5);
614
615 libmesh_fallthrough();
616 }
617 case PYRAMID5:
618 {
619 // base corners
620 nodes[0] = Point (-1.,-1.,0.);
621 nodes[1] = Point (1.,-1.,0.);
622 nodes[2] = Point (1.,1.,0.);
623 nodes[3] = Point (-1.,1.,0.);
624 // apex
625 nodes[4] = Point (0.,0.,1.);
626 return;
627 }
628
629 default:
630 libmesh_error_msg("ERROR: Unknown element type " << Utility::enum_to_string(itemType));
631 }
632}
libMesh::Elem::type_to_n_nodes_map
static const unsigned int type_to_n_nodes_map[INVALID_ELEM]
This array maps the integer representation of the ElemType enum to the number of nodes in the element...
Definition elem.h:643

References libMesh::EDGE2, libMesh::EDGE3, libMesh::EDGE4, libMesh::Utility::enum_to_string(), libMesh::HEX20, libMesh::HEX27, libMesh::HEX8, libMesh::invalid_uint, n_nodes, libMesh::NODEELEM, libMesh::PRISM15, libMesh::PRISM18, libMesh::PRISM20, libMesh::PRISM21, libMesh::PRISM6, libMesh::PYRAMID13, libMesh::PYRAMID14, libMesh::PYRAMID18, libMesh::PYRAMID5, libMesh::QUAD4, libMesh::QUAD8, libMesh::QUAD9, libMesh::QUADSHELL4, libMesh::QUADSHELL8, libMesh::QUADSHELL9, libMesh::Real, libMesh::TET10, libMesh::TET14, libMesh::TET4, libMesh::TRI3, libMesh::TRI6, libMesh::TRI7, libMesh::TRISHELL3, and libMesh::Elem::type_to_n_nodes_map.

Referenced by libMesh::LIBMESH_DEFAULT_VECTORIZED_FE(), libMesh::LIBMESH_DEFAULT_VECTORIZED_FE(), libMesh::LIBMESH_DEFAULT_VECTORIZED_FE(), and libMesh::LIBMESH_DEFAULT_VECTORIZED_FE().

◆ get_Sobolev_dweight()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual const std::vector< RealGradient > & libMesh::InfFE< Dim, T_radial, T_map >::get_Sobolev_dweight ( ) const
inlineoverridevirtual
Returns
The first global derivative of the multiplicative weight at each quadrature point. See get_Sobolev_weight() for details. In case of FE initialized to all zero.

Reimplemented from libMesh::FEGenericBase< OutputType >.

Definition at line 788 of file inf_fe.h.

789 {libmesh_assert(!calculations_started || calculate_dphi);
790 calculate_dphi = true; return dweight; }

References libMesh::FEAbstract::calculate_dphi, libMesh::FEAbstract::calculations_started, libMesh::FEGenericBase< OutputType >::dweight, and libMesh::libmesh_assert().

◆ get_Sobolev_dweightxR_sq()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual const std::vector< RealGradient > & libMesh::InfFE< Dim, T_radial, T_map >::get_Sobolev_dweightxR_sq ( ) const
inlineoverridevirtual
Returns
The first global derivative of the multiplicative weight (see get_Sobolev_weight()) but weighted with the radial coordinate square.

Reimplemented from libMesh::FEGenericBase< OutputType >.

Definition at line 832 of file inf_fe.h.

833 {libmesh_assert(!calculations_started || calculate_dphi_scaled);
834 calculate_dphi_scaled = true; return dweightxr_sq; }

References libMesh::InfFE< Dim, T_radial, T_map >::calculate_dphi_scaled, libMesh::FEAbstract::calculations_started, libMesh::InfFE< Dim, T_radial, T_map >::dweightxr_sq, and libMesh::libmesh_assert().

◆ get_Sobolev_weight()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual const std::vector< Real > & libMesh::InfFE< Dim, T_radial, T_map >::get_Sobolev_weight ( ) const
inlineoverridevirtual
Returns
The multiplicative weight at each quadrature point. This weight is used for certain infinite element weak formulations, so that weighted Sobolev spaces are used for the trial function space. This renders the variational form easily computable.

Reimplemented from libMesh::FEGenericBase< OutputType >.

Definition at line 778 of file inf_fe.h.

779 { libmesh_assert(!calculations_started || calculate_phi);
780 calculate_phi = true; return weight; }
libMesh::FEGenericBase::weight
std::vector< Real > weight
Used for certain infinite element families: the additional radial weight in local coordinates,...
Definition fe_base.h:767

References libMesh::FEAbstract::calculate_phi, libMesh::FEAbstract::calculations_started, libMesh::libmesh_assert(), and libMesh::FEGenericBase< OutputType >::weight.

◆ get_Sobolev_weightxR_sq()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual const std::vector< Real > & libMesh::InfFE< Dim, T_radial, T_map >::get_Sobolev_weightxR_sq ( ) const
inlineoverridevirtual
Returns
The multiplicative weight (see get_Sobolev_weight()) but weighted with the radial coordinate square.

Reimplemented from libMesh::FEGenericBase< OutputType >.

Definition at line 821 of file inf_fe.h.

822 { libmesh_assert(!calculations_started || calculate_phi_scaled);
823 calculate_phi_scaled = true; return weightxr_sq; }
libMesh::InfFE::weightxr_sq
std::vector< Real > weightxr_sq
Definition inf_fe.h:1048

References libMesh::InfFE< Dim, T_radial, T_map >::calculate_phi_scaled, libMesh::FEAbstract::calculations_started, libMesh::libmesh_assert(), and libMesh::InfFE< Dim, T_radial, T_map >::weightxr_sq.

◆ get_tangents()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual const std::vector< std::vector< Point > > & libMesh::InfFE< Dim, T_radial, T_map >::get_tangents ( ) const
inlineoverridevirtual
Returns
The tangent vectors for face integration.

Definition at line 797 of file inf_fe.h.

798 { libmesh_assert(!calculations_started || calculate_map);
799 calculate_map = true; return tangents; }

References libMesh::FEAbstract::calculate_map, libMesh::FEAbstract::calculations_started, libMesh::libmesh_assert(), and libMesh::InfFE< Dim, T_radial, T_map >::tangents.

◆ get_type()

ElemType libMesh::FEAbstract::get_type ( ) const
inlineinherited
Returns
The element type that the current shape functions have been calculated for, or INVALID_ELEM if no such element exists. Useful in determining when shape functions must be recomputed.

This is generally redundant with _elem->type(), but must be cached separately for cases (such as internal FE use in QComposite) where _elem might be a dangling pointer to a temporary.

Definition at line 509 of file fe_abstract.h.

509{ return _elem_type; }
libMesh::FEAbstract::_elem_type
ElemType _elem_type
The element type the current data structures were set up for.
Definition fe_abstract.h:735

References libMesh::FEAbstract::_elem_type.

◆ get_xyz()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual const std::vector< Point > & libMesh::InfFE< Dim, T_radial, T_map >::get_xyz ( ) const
inlineoverridevirtual
Returns
the xyz spatial locations of the quadrature points on the element.

Definition at line 567 of file inf_fe.h.

568 { libmesh_assert(!calculations_started || calculate_xyz);
569 calculate_xyz = true; return xyz; }

References libMesh::InfFE< Dim, T_radial, T_map >::calculate_xyz, libMesh::FEAbstract::calculations_started, libMesh::libmesh_assert(), and libMesh::InfFE< Dim, T_radial, T_map >::xyz.

◆ increment_constructor_count()

void libMesh::ReferenceCounter::increment_constructor_count ( const std::string &  name)
inlineprotectednoexceptinherited

Increments the construction counter.

Should be called in the constructor of any derived class that will be reference counted.

Definition at line 183 of file reference_counter.h.

184{
185 libmesh_try
186 {
187 Threads::spin_mutex::scoped_lock lock(Threads::spin_mtx);
188 std::pair<unsigned int, unsigned int> & p = _counts[name];
189 p.first++;
190 }
191 libmesh_catch (...)
192 {
193 auto stream = libMesh::err.get();
194 stream->exceptions(stream->goodbit); // stream must not throw
195 libMesh::err << "Encountered unrecoverable error while calling "
196 << "ReferenceCounter::increment_constructor_count() "
197 << "for a(n) " << name << " object." << std::endl;
198 std::terminate();
199 }
200}
libMesh::BasicOStreamProxy::get
streamT * get()
Rather than implement every ostream/ios/ios_base function, we'll be lazy and make esoteric uses go th...
Definition ostream_proxy.h:217

References libMesh::err, libMesh::BasicOStreamProxy< charT, traits >::get(), and libMesh::Threads::spin_mtx.

Referenced by libMesh::ReferenceCountedObject< T >::ReferenceCountedObject(), libMesh::ReferenceCountedObject< T >::ReferenceCountedObject(), and libMesh::ReferenceCountedObject< T >::ReferenceCountedObject().

◆ increment_destructor_count()

void libMesh::ReferenceCounter::increment_destructor_count ( const std::string &  name)
inlineprotectednoexceptinherited

Increments the destruction counter.

Should be called in the destructor of any derived class that will be reference counted.

Definition at line 207 of file reference_counter.h.

208{
209 libmesh_try
210 {
211 Threads::spin_mutex::scoped_lock lock(Threads::spin_mtx);
212 std::pair<unsigned int, unsigned int> & p = _counts[name];
213 p.second++;
214 }
215 libmesh_catch (...)
216 {
217 auto stream = libMesh::err.get();
218 stream->exceptions(stream->goodbit); // stream must not throw
219 libMesh::err << "Encountered unrecoverable error while calling "
220 << "ReferenceCounter::increment_destructor_count() "
221 << "for a(n) " << name << " object." << std::endl;
222 std::terminate();
223 }
224}

References libMesh::err, libMesh::BasicOStreamProxy< charT, traits >::get(), and libMesh::Threads::spin_mtx.

Referenced by libMesh::ReferenceCountedObject< T >::~ReferenceCountedObject().

◆ inf_compute_constraints()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
void libMesh::InfFE< Dim, T_radial, T_map >::inf_compute_constraints ( DofConstraints &  constraints,
DofMap &  dof_map,
const unsigned int  variable_number,
const Elem *  child_elem 
)
static

Computes the constraint matrix contributions (for non-conforming adapted meshes) corresponding to variable number var_number, adapted to infinite elements.

Definition at line 1417 of file inf_fe_static.C.

1421{
1422
1423 // only constrain elements in 2,3d.
1424 if (Dim == 1)
1425 return;
1426
1427 libmesh_assert(child_elem);
1428
1429 // only constrain active and ancestor elements
1430 if (child_elem->subactive())
1431 return;
1432
1433 // Before we start to compute anything, lets check if any confinement is needed:
1434 bool need_constraints=false;
1435 for (auto child_neighbor : child_elem->neighbor_ptr_range())
1436 if (child_neighbor->level() < child_elem->level())
1437 {
1438 need_constraints = true;
1439 break;
1440 }
1441 if (!need_constraints)
1442 return;
1443
1444 // For infinite elements, the computation of constraints is somewhat different
1445 // than for Lagrange elements:
1446 // 1) When an infinite element is refined, only the base element (i.e. side(0) ) is refined.
1447 //
1448 // 2) Due to the tensorial structure of shape functions (base_shape * radial_function),
1449 // it must be ensured that all element DOFs inherit that constraint.
1450 // It is important here to distinguish the (total) DOF from base DOF and radial DOF contributions.
1451 //
1452 // 3) Due to the generality of radial polynomial (of type fe_type.radial_family and with order fe_type.radial_order)
1453 // here basis functions cannot be mapped to nodes: Independent from the radial polynomial,
1454 // infinite elements have one set of nodes at the base (side(0)) and a second set at twice the distance to their origin.
1455 //
1456 // Independent from the polynomial and degree used, the first radial DOF is 1 at the base while all others are 0 there
1457 //
1458 //Constraining of DOFs is only needed when a DOF is nonzero at the elements face shared with a coarser element.
1459 // Thus, the following scheme is used here:
1460 //
1461 // -If the coarser element is the neighbor(0) (i.e. we share only the base), we must constrain
1462 // all DOFs that correspond to the first order radial contribution.
1463 // -if an infinite neighbor is coarser (than 'child_elem'), all those DOFs must be constrained
1464 // whose contribution from the base is non-zero at the interface.
1465 // In this case, we lack a point-assignement between DOFs and nodes, but since there is no refinement in radial direction,
1466 // the radial polynomials coincide on neighboring elements.
1467 // Thus, if one constraines these DOFs at one (arbitrary) point correctly, they match for each point along the radial direction.
1468 // Hence, we constrain them with the same values as those DOFs belonging to the first order polynomial, obtaining consistent
1469 // constraints that mimic constraints that are computed at the support points for each radial polynomial contribution.
1470
1471 FEType fe_type = dof_map.variable_type(variable_number);
1472
1473 libmesh_assert(fe_type.family == LAGRANGE);
1474
1475 std::vector<dof_id_type> child_base_dof_indices, parent_base_dof_indices;
1476 std::vector<dof_id_type> child_elem_dof_indices, parent_elem_dof_indices;
1477
1478 const Elem * parent_elem = child_elem->parent();
1479
1480 // This can't happen... Only level-0 elements have nullptr
1481 // parents, and no level-0 elements can be at a higher
1482 // level than their neighbors!
1483 libmesh_assert(parent_elem);
1484
1485 dof_map.dof_indices (child_elem, child_elem_dof_indices,
1486 variable_number);
1487 dof_map.dof_indices (parent_elem, parent_elem_dof_indices,
1488 variable_number);
1489
1490 const unsigned int n_total_dofs = child_elem_dof_indices.size();
1491 // fill the elements shape index map: we will have to use it later
1492 // to find the elements dofs that correspond to certain base_elem_dofs.
1493 std::vector<unsigned int> radial_shape_index(n_total_dofs);
1494 std::vector<unsigned int> base_shape_index(n_total_dofs);
1495 // fill the shape index map
1496#ifdef DEBUG
1497 unsigned int max_base_id=0;
1498 unsigned int max_radial_id=0;
1499#endif
1500 for (unsigned int n=0; n<n_total_dofs; ++n)
1501 {
1502 compute_shape_indices (fe_type,
1503 child_elem,
1504 n,
1505 base_shape_index[n],
1506 radial_shape_index[n]);
1507
1508#ifdef DEBUG
1509 if (base_shape_index[n] > max_base_id)
1510 max_base_id = base_shape_index[n];
1511 if (radial_shape_index[n] > max_radial_id)
1512 max_radial_id = radial_shape_index[n];
1513#endif
1514 }
1515
1516#ifdef DEBUG
1517 libmesh_assert_equal_to( (max_base_id+1)*(max_radial_id+1), n_total_dofs );
1518#endif
1519
1520 for (auto s : child_elem->side_index_range())
1521 if (child_elem->neighbor_ptr(s) != nullptr &&
1522 child_elem->neighbor_ptr(s) != remote_elem)
1523 if (child_elem->neighbor_ptr(s)->level() < child_elem->level())
1524 {
1525 // we ALWAYS take the base element for reference:
1526 // - For s=0, we refine all dofs with `radial_shape_index == 0
1527 // - for s>0, we refine all dofs whose corresponding base_shape has its support point shared with neighbor(s)
1528 std::unique_ptr<const Elem> child_base, parent_base;
1529 child_elem->build_side_ptr(child_base, 0);
1530 parent_elem->build_side_ptr(parent_base, 0);
1531
1532 const unsigned int n_base_dofs =
1533 FEInterface::n_dofs(fe_type, child_base.get());
1534
1535 // We need global DOF indices for both base and 'full' elements
1536 dof_map.dof_indices (child_base.get(), child_base_dof_indices,
1537 variable_number);
1538 dof_map.dof_indices (parent_base.get(), parent_base_dof_indices,
1539 variable_number);
1540
1541
1542 // First we loop over the childs base DOFs (nodes) and check which of them needs constraint
1543 // and which can be skipped.
1544 for (unsigned int child_base_dof=0; child_base_dof != n_base_dofs; ++child_base_dof)
1545 {
1546 libmesh_assert_less (child_base_dof, child_base->n_nodes());
1547
1548 // Childs global dof index.
1549 const dof_id_type child_base_dof_g = child_base_dof_indices[child_base_dof];
1550
1551 // Hunt for "constraining against myself" cases before
1552 // we bother creating a constraint row
1553 bool self_constraint = false;
1554 for (unsigned int parent_base_dof=0;
1555 parent_base_dof != n_base_dofs; parent_base_dof++)
1556 {
1557 libmesh_assert_less (parent_base_dof, parent_base->n_nodes());
1558
1559 // Their global dof index.
1560 const dof_id_type parent_base_dof_g =
1561 parent_base_dof_indices[parent_base_dof];
1562
1563 if (parent_base_dof_g == child_base_dof_g)
1564 {
1565 self_constraint = true;
1566 break;
1567 }
1568 }
1569
1570 if (self_constraint)
1571 continue;
1572
1573 // now we need to constrain all __child_elem__ DOFs whose base corresponds to
1574 // child_base_dof.
1575 // --> loop over all child_elem dofs whose base_shape_index == child_base_dof
1576 unsigned int n_elem_dofs = FEInterface::n_dofs(fe_type, child_elem);
1577 libmesh_assert_equal_to(n_elem_dofs, n_total_dofs);
1578 for(unsigned int child_elem_dof=0; child_elem_dof != n_elem_dofs; ++child_elem_dof)
1579 {
1580 if (base_shape_index[child_elem_dof] != child_base_dof)
1581 continue;
1582
1583 // independent from the radial description, the first radial DOF is 1 at the base
1584 // while all others start with 0.
1585 // Thus, to confine for the bases neighbor, we only need to refine DOFs that correspond
1586 // to the first radial DOF
1587 if (s==0)
1588 {
1589 if (radial_shape_index[child_elem_dof] > 0)
1590 continue;
1591 }
1592 else
1593 {
1594 // If the neighbor is not the base, we must check now if the support point of the dof
1595 // is actually shared with that neighbor:
1596 if ( !child_elem->neighbor_ptr(s)->contains_point(child_base->point(child_base_dof)) )
1597 continue;
1598 }
1599
1600
1601 const dof_id_type child_elem_dof_g = child_elem_dof_indices[child_elem_dof];
1602
1603 DofConstraintRow * constraint_row;
1604
1605 // we may be running constraint methods concurrently
1606 // on multiple threads, so we need a lock to
1607 // ensure that this constraint is "ours"
1608 {
1609 Threads::spin_mutex::scoped_lock lock(Threads::spin_mtx);
1610
1611 if (dof_map.is_constrained_dof(child_elem_dof_g))
1612 continue;
1613
1614 constraint_row = &(constraints[child_elem_dof_g]);
1615 libmesh_assert(constraint_row->empty());
1616 }
1617
1618 // The support point of the DOF
1619 const Point & support_point = child_base->point(child_base_dof);
1620
1621 // Figure out where my (base) node lies on the parents reference element.
1622 const Point mapped_point = FEMap::inverse_map(Dim-1,
1623 parent_base.get(),
1624 support_point);
1625
1626 // now we need the parents base DOFs, evaluated at the mapped_point for refinement:
1627 for (unsigned int parent_base_dof=0;
1628 parent_base_dof != n_base_dofs; parent_base_dof++)
1629 {
1630
1631 const Real parent_base_dof_value = FEInterface::shape(fe_type,
1632 parent_base.get(),
1633 parent_base_dof,
1634 mapped_point);
1635
1636
1637 // all parent elements DOFs whose base_index corresponds to parent_base_dof
1638 // must be constrained with the parent_base_dof_value.
1639
1640 // The value of the radial function does not play a role here:
1641 // 1) only the function with radial_shape_index[] == 0 are 1 at the base,
1642 // the others are 0.
1643 // 2) The radial basis is (usually) not a Lagrange polynomial.
1644 // Thus, constraining according to a support point doesn't work.
1645 // However, they reach '1' at a certain (radial) distance which is the same for parent and child.
1646 for (unsigned int parent_elem_dof=0;
1647 parent_elem_dof != n_elem_dofs; parent_elem_dof++)
1648 {
1649 if (base_shape_index[parent_elem_dof] != parent_base_dof)
1650 continue;
1651
1652 // only constrain with coinciding radial DOFs.
1653 // Otherwise, we start coupling all DOFs with each other and end up in a mess.
1654 if (radial_shape_index[parent_elem_dof] != radial_shape_index[child_elem_dof])
1655 continue;
1656
1657 // Their global dof index.
1658 const dof_id_type parent_elem_dof_g =
1659 parent_elem_dof_indices[parent_elem_dof];
1660
1661 // Only add non-zero and non-identity values
1662 // for Lagrange basis functions. (parent_base is assumed to be of Lagrange-type).
1663 if ((std::abs(parent_base_dof_value) > 1.e-5) &&
1664 (std::abs(parent_base_dof_value) < .999))
1665 {
1666 constraint_row->emplace(parent_elem_dof_g, parent_base_dof_value);
1667 }
1668#ifdef DEBUG
1669 // Protect for the case u_i = 0.999 u_j,
1670 // in which case i better equal j.
1671 else if (parent_base_dof_value >= .999)
1672 {
1673 libmesh_assert_equal_to (child_base_dof_g, parent_base_dof_indices[parent_base_dof]);
1674 libmesh_assert_equal_to (child_elem_dof_g, parent_elem_dof_g);
1675 }
1676#endif
1677 }
1678
1679 }
1680 }
1681
1682 }
1683 }
1684}

References libMesh::Elem::build_side_ptr(), libMesh::Elem::contains_point(), libMesh::DofMap::dof_indices(), libMesh::FEType::family, libMesh::FEMap::inverse_map(), libMesh::DofMap::is_constrained_dof(), libMesh::LAGRANGE, libMesh::Elem::level(), libMesh::libmesh_assert(), libMesh::FEInterface::n_dofs(), libMesh::Elem::neighbor_ptr(), libMesh::Elem::neighbor_ptr_range(), libMesh::Elem::parent(), libMesh::Real, libMesh::remote_elem, libMesh::FEInterface::shape(), libMesh::Elem::side_index_range(), libMesh::Threads::spin_mtx, libMesh::Elem::subactive(), and libMesh::DofMap::variable_type().

◆ inf_compute_node_constraints()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
void libMesh::InfFE< Dim, T_radial, T_map >::inf_compute_node_constraints ( NodeConstraints &  constraints,
const Elem *  elem 
)
static

Definition at line 1373 of file inf_fe_static.C.

1374{
1375 // only constrain elements in 2,3d.
1376 if (Dim == 1)
1377 return;
1378
1379 libmesh_assert(elem);
1380
1381 // only constrain active and ancestor elements
1382 if (elem->subactive())
1383 return;
1384
1385 // for infinite elements, the computation of constraints is somewhat different
1386 // than for Lagrange elements:
1387 // 1) Only the base element (i.e. side(0) ) may be refined.
1388 // Thus, in radial direction no constraints must be considered.
1389 // 2) Due to the tensorial structure of shape functions (base_shape * radial_function),
1390 // it must be ensured that all element DOFs inherit that constraint.
1391 // Consequently, the constraints are computed on the base (baseh_shape) but must
1392 // be applied to all DOFs with the respective base_shape index (i.e. for all radial_functions).
1393 //
1394 // FIXME: In the current form, this function does not work for infinite elements
1395 // because constraining the non-base points requires knowledge of the T_map and T_radial
1396 // parameters; but they are not accessible via the element and may differ between variables.
1397 //
1398 // For the moment being, we just check if this element can be skipped and fail otherwise.
1399
1400 // if one of the sides needs a constraint, an error is thrown.
1401 // In other cases, we leave the function regularly.
1402 for (auto s : elem->side_index_range())
1403 {
1404 if (elem->neighbor_ptr(s) != nullptr &&
1405 elem->neighbor_ptr(s) != remote_elem)
1406 if (elem->neighbor_ptr(s)->level() < elem->level())
1407 {
1408 libmesh_not_implemented();
1409 }
1410 }
1411}

References libMesh::Elem::level(), libMesh::libmesh_assert(), libMesh::Elem::neighbor_ptr(), libMesh::remote_elem, libMesh::Elem::side_index_range(), and libMesh::Elem::subactive().

◆ init_base_shape_functions()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual void libMesh::InfFE< Dim, T_radial, T_map >::init_base_shape_functions ( const std::vector< Point > &  ,
const Elem *   
)
inlineoverrideprotectedvirtual

Do not use this derived member in InfFE<Dim,T_radial,T_map>.

Implements libMesh::FEGenericBase< OutputType >.

Definition at line 902 of file inf_fe.h.

904 { libmesh_not_implemented(); }

◆ init_face_shape_functions()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_base>
void libMesh::InfFE< Dim, T_radial, T_base >::init_face_shape_functions ( const std::vector< Point > &  ,
const Elem *  inf_side 
)
protected

Initialize all the data fields like weight, phi, etc for the side s.

Definition at line 135 of file inf_fe_boundary.C.

137{
138 libmesh_assert(inf_side);
139
140 // Currently, this makes only sense in 3-D!
141 libmesh_assert_equal_to (Dim, 3);
142
143 // Initialize the radial shape functions (in particular som)
144 this->init_radial_shape_functions(inf_side);
145
146 // Initialize the base shape functions
147 if (inf_side->infinite())
148 this->update_base_elem(inf_side);
149 else
150 // in this case, I need the 2D base
151 this->update_base_elem(inf_side->interior_parent());
152
153 // Initialize the base quadrature rule
154 base_qrule->init(*base_elem, inf_side->p_level());
155
156 // base_fe still corresponds to the (dim-1)-dimensional base of the InfFE object,
157 // so update the fe_base.
158 if (inf_side->infinite())
159 {
160 base_fe = FEBase::build(Dim-2, this->fe_type);
161 base_fe->attach_quadrature_rule(base_qrule.get());
162 }
163 else
164 {
165 base_fe = FEBase::build(Dim-1, this->fe_type);
166 base_fe->attach_quadrature_rule(base_qrule.get());
167 }
168
169 if (this->calculate_map || this->calculate_map_scaled)
170 {
171 //before initializing, we should say what to compute:
172 base_fe->_fe_map->get_xyz();
173 base_fe->_fe_map->get_JxW();
174 }
175
176 if (calculate_phi || calculate_dphi || calculate_phi_scaled || calculate_dphi_scaled)
177 // initialize the shape functions on the base
178 base_fe->init_base_shape_functions(base_fe->qrule->get_points(),
179 base_elem.get());
180
181 // the number of quadrature points
182 const unsigned int n_radial_qp = radial_qrule->n_points();
183 const unsigned int n_base_qp = base_qrule->n_points();
184 const unsigned int n_total_qp = n_radial_qp * n_base_qp;
185
186#ifdef DEBUG
187 if (som.size() > 0)
188 libmesh_assert_equal_to(n_radial_qp, som.size());
189 // when evaluating the base side, there should be only one radial point.
190 if (!inf_side->infinite())
191 libmesh_assert_equal_to (n_radial_qp, 1);
192#endif
193
194 // the quadrature weights
195 _total_qrule_weights.resize(n_total_qp);
196 std::vector<Point> qp(n_total_qp);
197
198 // quadrature rule weights
199 if (Dim < 3)
200 {
201 // the quadrature points must be assembled differently for lower dims.
202 libmesh_not_implemented();
203 }
204 else
205 {
206 const std::vector<Real> & radial_qw = radial_qrule->get_weights();
207 const std::vector<Real> & base_qw = base_qrule->get_weights();
208 const std::vector<Point> & radial_qp = radial_qrule->get_points();
209 const std::vector<Point> & base_qp = base_qrule->get_points();
210
211 libmesh_assert_equal_to (radial_qw.size(), n_radial_qp);
212 libmesh_assert_equal_to (base_qw.size(), n_base_qp);
213
214 for (unsigned int rp=0; rp<n_radial_qp; rp++)
215 for (unsigned int bp=0; bp<n_base_qp; bp++)
216 {
217 _total_qrule_weights[bp + rp*n_base_qp] = radial_qw[rp] * base_qw[bp];
218 // initialize the quadrature-points for the 2D side element
219 // - either the base element or it has a 1D base + radial direction.
220 if (inf_side->infinite())
221 qp[bp + rp*n_base_qp]=Point(base_qp[bp](0),
222 0.,
223 radial_qp[rp](0));
224 else
225 qp[bp + rp*n_base_qp]=Point(base_qp[bp](0),
226 base_qp[bp](1),
227 -1.);
228 }
229 }
230
231 this->reinit(inf_side->interior_parent(), &qp);
232
233}
libMesh::InfFE::init_radial_shape_functions
void init_radial_shape_functions(const Elem *inf_elem, const std::vector< Point > *radial_pts=nullptr)
Some of the member data only depend on the radial part of the infinite element.
Definition inf_fe.C:387
libMesh::InfFE::reinit
virtual void reinit(const Elem *elem, const std::vector< Point > *const pts=nullptr, const std::vector< Real > *const weights=nullptr) override
This is at the core of this class.
Definition inf_fe.C:120
libMesh::InfFE::update_base_elem
void update_base_elem(const Elem *inf_elem)
Updates the protected member base_elem to the appropriate base element for the given inf_elem.
Definition inf_fe.C:109

References libMesh::FEGenericBase< OutputType >::build(), libMesh::Elem::infinite(), libMesh::Elem::interior_parent(), libMesh::libmesh_assert(), and libMesh::Elem::p_level().

◆ init_radial_shape_functions()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
void libMesh::InfFE< Dim, T_radial, T_map >::init_radial_shape_functions ( const Elem *  inf_elem,
const std::vector< Point > *  radial_pts = nullptr 
)
protected

Some of the member data only depend on the radial part of the infinite element.

The parts that only change when the radial order changes, are initialized here.

Definition at line 386 of file inf_fe.C.

389{
390 libmesh_assert(radial_qrule.get() || radial_pts);
391 libmesh_assert(inf_elem);
392
393 // Start logging the radial shape function initialization
394 LOG_SCOPE("init_radial_shape_functions()", "InfFE");
395
396 // initialize most of the things related to physical approximation
397 const Order radial_approx_order = fe_type.radial_order;
398 const unsigned int n_radial_approx_shape_functions =
399 InfFERadial::n_dofs(radial_approx_order);
400
401 const std::size_t n_radial_qp =
402 radial_pts ? radial_pts->size() : radial_qrule->n_points();
403 const std::vector<Point> & radial_qp =
404 radial_pts ? *radial_pts : radial_qrule->get_points();
405
406 // the radial polynomials (eval)
407 if (calculate_phi || calculate_dphi || calculate_phi_scaled || calculate_dphi_scaled)
408 {
409 mode.resize (n_radial_approx_shape_functions);
410 for (unsigned int i=0; i<n_radial_approx_shape_functions; ++i)
411 mode[i].resize (n_radial_qp);
412
413 // evaluate the mode shapes in radial direction at radial quadrature points
414 for (unsigned int i=0; i<n_radial_approx_shape_functions; ++i)
415 for (std::size_t p=0; p<n_radial_qp; ++p)
416 mode[i][p] = InfFE<Dim,T_radial,T_map>::eval (radial_qp[p](0), radial_approx_order, i);
417 }
418
419 if (calculate_dphi || calculate_dphi_scaled)
420 {
421 dmodedv.resize (n_radial_approx_shape_functions);
422 for (unsigned int i=0; i<n_radial_approx_shape_functions; ++i)
423 dmodedv[i].resize (n_radial_qp);
424
425 // evaluate the mode shapes in radial direction at radial quadrature points
426 for (unsigned int i=0; i<n_radial_approx_shape_functions; ++i)
427 for (std::size_t p=0; p<n_radial_qp; ++p)
428 dmodedv[i][p] = InfFE<Dim,T_radial,T_map>::eval_deriv (radial_qp[p](0), radial_approx_order, i);
429 }
430
431 // the (1-v)/2 weight.
432 if (calculate_phi || calculate_phi_scaled || calculate_dphi || calculate_dphi_scaled)
433 {
434 som.resize (n_radial_qp);
435 // compute scalar values at radial quadrature points
436 for (std::size_t p=0; p<n_radial_qp; ++p)
437 som[p] = InfFERadial::decay (Dim, radial_qp[p](0));
438 }
439 if (calculate_dphi || calculate_dphi_scaled)
440 {
441 dsomdv.resize (n_radial_qp);
442 // compute scalar values at radial quadrature points
443 for (std::size_t p=0; p<n_radial_qp; ++p)
444 dsomdv[p] = InfFERadial::decay_deriv (Dim, radial_qp[p](0));
445 }
446}

References libMesh::InfFERadial::decay(), libMesh::InfFERadial::decay_deriv(), libMesh::libmesh_assert(), and libMesh::InfFERadial::n_dofs().

◆ init_shape_functions()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
void libMesh::InfFE< Dim, T_radial, T_map >::init_shape_functions ( const std::vector< Point > &  radial_qp,
const std::vector< Point > &  base_qp,
const Elem *  inf_elem 
)
protected

Initialize all the data fields like weight, mode, phi, dphidxi, dphideta, dphidzeta, etc.

for the current element. This method prepares the data related to the base part, and some of the combined fields.

Definition at line 451 of file inf_fe.C.

454{
455 libmesh_assert(inf_elem);
456
457 // Start logging the radial shape function initialization
458 LOG_SCOPE("init_shape_functions()", "InfFE");
459
460 // fast access to some const ints for the radial data
461 const unsigned int n_radial_approx_sf = InfFERadial::n_dofs(fe_type.radial_order);
462 const std::size_t n_radial_qp = radial_qp.size();
463#ifdef DEBUG
464 if (calculate_phi || calculate_dphi || calculate_phi_scaled || calculate_dphi_scaled)
465 libmesh_assert_equal_to(n_radial_approx_sf, mode.size());
466 if (calculate_phi || calculate_dphi || calculate_dphi_scaled)
467 libmesh_assert_equal_to(som.size(), n_radial_qp);
468#endif
469
470
471 // initialize most of the quantities related to mapping
472
473 // The element type and order to use in the base map
474 //const Order base_mapping_order = base_elem->default_order();
475
476 // the number of base shape functions used to construct the map
477 // (Lagrange shape functions are used for mapping in the base)
478 //unsigned int n_base_mapping_shape_functions =
479 // InfFEBase::n_base_mapping_sf(*base_elem,
480 // base_mapping_order);
481
482 // initialize most of the things related to physical approximation
483 unsigned int n_base_approx_shape_functions;
484 if (Dim > 1)
485 n_base_approx_shape_functions =
486 FEInterface::n_dofs(base_fe->get_fe_type(), base_elem.get());
487 else
488 n_base_approx_shape_functions = 1;
489
490
491 // update class member field
492 _n_total_approx_sf =
493 n_radial_approx_sf * n_base_approx_shape_functions;
494
495
496 // The number of the base quadrature points.
497 const unsigned int n_base_qp = cast_int<unsigned int>(base_qp.size());
498
499 // The total number of quadrature points.
500 _n_total_qp = n_radial_qp * n_base_qp;
501
502
503 // initialize the node and shape numbering maps
504 {
505 // similar for the shapes: the i-th entry stores
506 // the associated base/radial shape number
507 _radial_shape_index.resize(_n_total_approx_sf);
508 _base_shape_index.resize(_n_total_approx_sf);
509
510 // fill the shape index map
511 for (unsigned int n=0; n<_n_total_approx_sf; ++n)
512 {
513 compute_shape_indices (this->fe_type,
514 inf_elem,
515 n,
516 _base_shape_index[n],
517 _radial_shape_index[n]);
518 libmesh_assert_less (_base_shape_index[n], n_base_approx_shape_functions);
519 libmesh_assert_less (_radial_shape_index[n], n_radial_approx_sf);
520 }
521 }
522
523 // resize the base data fields
524 //dist.resize(n_base_mapping_shape_functions);
525
526 // resize the total data fields
527
528 // the phase term varies with xi, eta and zeta(v): store it for _all_ qp
529 //
530 // when computing the phase, we need the base approximations
531 // therefore, initialize the phase here, but evaluate it
532 // in compute_shape_functions().
533 //
534 // the weight, though, is only needed at the radial quadrature points, n_radial_qp.
535 // but for a uniform interface to the protected data fields
536 // the weight data field (which are accessible from the outside) are expanded to _n_total_qp.
537 if (calculate_phi || calculate_dphi)
538 weight.resize (_n_total_qp);
539 if (calculate_phi_scaled || calculate_dphi_scaled)
540 weightxr_sq.resize (_n_total_qp);
541 if (calculate_dphi || calculate_dphi_scaled)
542 dweightdv.resize (n_radial_qp);
543 if (calculate_dphi)
544 dweight.resize (_n_total_qp);
545 if (calculate_dphi_scaled)
546 dweightxr_sq.resize(_n_total_qp);
547
548 if (calculate_dphi || calculate_dphi_scaled)
549 dphase.resize (_n_total_qp);
550
551 // this vector contains the integration weights for the combined quadrature rule
552 // if no quadrature rules are given, use only ones.
553 _total_qrule_weights.resize(_n_total_qp,1);
554
555 // InfFE's data fields phi, dphi, dphidx, phi_map etc hold the _total_
556 // shape and mapping functions, respectively
557 {
558 if (calculate_map_scaled)
559 JxWxdecay.resize(_n_total_qp);
560 if (calculate_jxw)
561 JxW.resize(_n_total_qp);
562 if (calculate_map_scaled || calculate_map)
563 {
564 xyz.resize(_n_total_qp);
565 dxidx_map_scaled.resize(_n_total_qp);
566 dxidy_map_scaled.resize(_n_total_qp);
567 dxidz_map_scaled.resize(_n_total_qp);
568 detadx_map_scaled.resize(_n_total_qp);
569 detady_map_scaled.resize(_n_total_qp);
570 detadz_map_scaled.resize(_n_total_qp);
571 dzetadx_map_scaled.resize(_n_total_qp);
572 dzetady_map_scaled.resize(_n_total_qp);
573 dzetadz_map_scaled.resize(_n_total_qp);
574 }
575 if (calculate_map)
576 {
577 dxidx_map.resize(_n_total_qp);
578 dxidy_map.resize(_n_total_qp);
579 dxidz_map.resize(_n_total_qp);
580 detadx_map.resize(_n_total_qp);
581 detady_map.resize(_n_total_qp);
582 detadz_map.resize(_n_total_qp);
583 dzetadx_map.resize(_n_total_qp);
584 dzetady_map.resize(_n_total_qp);
585 dzetadz_map.resize(_n_total_qp);
586 }
587 if (calculate_phi)
588 phi.resize (_n_total_approx_sf);
589 if (calculate_phi_scaled)
590 phixr.resize (_n_total_approx_sf);
591 if (calculate_dphi)
592 {
593 dphi.resize (_n_total_approx_sf);
594 dphidx.resize (_n_total_approx_sf);
595 dphidy.resize (_n_total_approx_sf);
596 dphidz.resize (_n_total_approx_sf);
597 }
598
599 if (calculate_dphi_scaled)
600 {
601 dphixr.resize (_n_total_approx_sf);
602 dphixr_sq.resize(_n_total_approx_sf);
603 }
604#ifdef LIBMESH_ENABLE_SECOND_DERIVATIVES
605
606 if (calculate_d2phi)
607 {
608 libmesh_not_implemented();
609 d2phi.resize (_n_total_approx_sf);
610 d2phidx2.resize (_n_total_approx_sf);
611 d2phidxdy.resize (_n_total_approx_sf);
612 d2phidxdz.resize (_n_total_approx_sf);
613 d2phidy2.resize (_n_total_approx_sf);
614 d2phidydz.resize (_n_total_approx_sf);
615 d2phidz2.resize (_n_total_approx_sf);
616 d2phidxi2.resize (_n_total_approx_sf);
617
618 if (Dim > 1)
619 {
620 d2phidxideta.resize(_n_total_approx_sf);
621 d2phideta2.resize(_n_total_approx_sf);
622 }
623
624 if (Dim > 2)
625 {
626 d2phidetadzeta.resize(_n_total_approx_sf);
627 d2phidxidzeta.resize(_n_total_approx_sf);
628 d2phidzeta2.resize(_n_total_approx_sf);
629 }
630 }
631#endif // ifdef LIBMESH_ENABLE_SECOND_DERIVATIVES
632
633 if (calculate_dphi || calculate_dphi_scaled)
634 {
635 dphidxi.resize (_n_total_approx_sf);
636
637 if (Dim > 1)
638 dphideta.resize(_n_total_approx_sf);
639
640 if (Dim == 3)
641 dphidzeta.resize(_n_total_approx_sf);
642 }
643
644 }
645
646 // collect all the for loops, where inner vectors are
647 // resized to the appropriate number of quadrature points
648 {
649 if (calculate_phi)
650 for (unsigned int i=0; i<_n_total_approx_sf; ++i)
651 phi[i].resize (_n_total_qp);
652
653 if (calculate_dphi)
654 for (unsigned int i=0; i<_n_total_approx_sf; ++i)
655 {
656 dphi[i].resize (_n_total_qp);
657 dphidx[i].resize (_n_total_qp);
658 dphidy[i].resize (_n_total_qp);
659 dphidz[i].resize (_n_total_qp);
660 }
661
662 if (calculate_phi_scaled)
663 for (unsigned int i=0; i<_n_total_approx_sf; ++i)
664 {
665 phixr[i].resize (_n_total_qp);
666 }
667 if (calculate_dphi_scaled)
668 for (unsigned int i=0; i<_n_total_approx_sf; ++i)
669 {
670 dphixr[i].resize(_n_total_qp);
671 dphixr_sq[i].resize(_n_total_qp);
672 }
673#ifdef LIBMESH_ENABLE_SECOND_DERIVATIVES
674 if (calculate_d2phi)
675 for (unsigned int i=0; i<_n_total_approx_sf; ++i)
676 {
677 d2phi[i].resize (_n_total_qp);
678 d2phidx2[i].resize (_n_total_qp);
679 d2phidxdy[i].resize (_n_total_qp);
680 d2phidxdz[i].resize (_n_total_qp);
681 d2phidy2[i].resize (_n_total_qp);
682 d2phidydz[i].resize (_n_total_qp);
683 d2phidy2[i].resize (_n_total_qp);
684 d2phidxi2[i].resize (_n_total_qp);
685
686 if (Dim > 1)
687 {
688 d2phidxideta[i].resize (_n_total_qp);
689 d2phideta2[i].resize (_n_total_qp);
690 }
691 if (Dim > 2)
692 {
693 d2phidxidzeta[i].resize (_n_total_qp);
694 d2phidetadzeta[i].resize (_n_total_qp);
695 d2phidzeta2[i].resize (_n_total_qp);
696 }
697 }
698#endif // ifdef LIBMESH_ENABLE_SECOND_DERIVATIVES
699
700 if (calculate_dphi || calculate_dphi_scaled)
701 for (unsigned int i=0; i<_n_total_approx_sf; ++i)
702 {
703 dphidxi[i].resize (_n_total_qp);
704
705 if (Dim > 1)
706 dphideta[i].resize (_n_total_qp);
707
708 if (Dim == 3)
709 dphidzeta[i].resize (_n_total_qp);
710
711 }
712
713 }
714 {
715 // (a) compute scalar values at _all_ quadrature points -- for uniform
716 // access from the outside to these fields
717 // (b) form a std::vector<Real> which contains the appropriate weights
718 // of the combined quadrature rule!
719 libmesh_assert_equal_to (radial_qp.size(), n_radial_qp);
720
721 if (radial_qrule && base_qrule)
722 {
723 const std::vector<Real> & radial_qw = radial_qrule->get_weights();
724 const std::vector<Real> & base_qw = base_qrule->get_weights();
725 libmesh_assert_equal_to (radial_qw.size(), n_radial_qp);
726 libmesh_assert_equal_to (base_qw.size(), n_base_qp);
727
728 for (unsigned int rp=0; rp<n_radial_qp; ++rp)
729 for (unsigned int bp=0; bp<n_base_qp; ++bp)
730 _total_qrule_weights[bp + rp*n_base_qp] = radial_qw[rp] * base_qw[bp];
731 }
732
733
734 for (unsigned int rp=0; rp<n_radial_qp; ++rp)
735 {
736 if (calculate_phi || calculate_dphi)
737 for (unsigned int bp=0; bp<n_base_qp; ++bp)
738 weight[bp + rp*n_base_qp] = InfFERadial::D(radial_qp[rp](0));
739
740 if ( calculate_phi_scaled)
741 for (unsigned int bp=0; bp<n_base_qp; ++bp)
742 weightxr_sq[bp + rp*n_base_qp] = InfFERadial::Dxr_sq(radial_qp[rp](0));
743
744 if ( calculate_dphi || calculate_dphi_scaled)
745 dweightdv[rp] = InfFERadial::D_deriv(radial_qp[rp](0));
746 }
747 }
748}
libMesh::InfFERadial::D
static Real D(const Real v)
Definition inf_fe.h:82
libMesh::InfFERadial::D_deriv
static Real D_deriv(const Real v)
Definition inf_fe.h:90
libMesh::InfFERadial::Dxr_sq
static Real Dxr_sq(const Real)
Definition inf_fe.h:84

References libMesh::InfFERadial::D(), libMesh::InfFERadial::D_deriv(), libMesh::InfFERadial::Dxr_sq(), libMesh::libmesh_assert(), libMesh::InfFERadial::n_dofs(), and libMesh::FEInterface::n_dofs().

◆ inverse_map() [1/2]

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
static Point libMesh::InfFE< Dim, T_radial, T_map >::inverse_map ( const Elem *  elem,
const Point &  p,
const Real  tolerance = TOLERANCE,
const bool  secure = true 
)
inlinestatic

Definition at line 465 of file inf_fe.h.

469 {
470 // libmesh_deprecated(); // soon
471 return InfFEMap::inverse_map(Dim, elem, p, tolerance, secure);
472 }
libMesh::InfFEMap::inverse_map
static Point inverse_map(const unsigned int dim, const Elem *elem, const Point &p, const Real tolerance=TOLERANCE, const bool secure=true)
Definition inf_fe_map.C:96

References libMesh::InfFEMap::inverse_map().

Referenced by libMesh::FEInterface::ifem_inverse_map(), and libMesh::FEInterface::ifem_inverse_map().

◆ inverse_map() [2/2]

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
static void libMesh::InfFE< Dim, T_radial, T_map >::inverse_map ( const Elem *  elem,
const std::vector< Point > &  physical_points,
std::vector< Point > &  reference_points,
const Real  tolerance = TOLERANCE,
const bool  secure = true 
)
inlinestatic

Definition at line 475 of file inf_fe.h.

480 {
481 // libmesh_deprecated(); // soon
482 return InfFEMap::inverse_map(Dim, elem, physical_points,
483 reference_points, tolerance, secure);
484 }

References libMesh::InfFEMap::inverse_map().

◆ is_hierarchic()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual bool libMesh::InfFE< Dim, T_radial, T_map >::is_hierarchic ( ) const
inlineoverridevirtual
Returns
true if the element's higher order shape functions are hierarchic

Implements libMesh::FEAbstract.

Definition at line 441 of file inf_fe.h.

442 { return false; } // FIXME - Inf FEs don't handle p elevation yet

◆ map()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
static Point libMesh::InfFE< Dim, T_radial, T_map >::map ( const Elem *  inf_elem,
const Point &  reference_point 
)
inlinestatic

Definition at line 457 of file inf_fe.h.

459 {
460 // libmesh_deprecated(); // soon
461 return InfFEMap::map(Dim, inf_elem, reference_point);
462 }

References libMesh::InfFEMap::map().

Referenced by libMesh::FEInterface::ifem_map().

◆ n_dofs()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
unsigned int libMesh::InfFE< Dim, T_radial, T_map >::n_dofs ( const FEType &  fet,
const Elem *  inf_elem 
)
static
Returns
The number of shape functions associated with this infinite element. Currently, we have o_radial+1 modes in radial direction, and
FE<Dim-1,T>::n_dofs(...)
libMesh::FE::n_dofs
static unsigned int n_dofs(const ElemType t, const Order o)
in the base.

Definition at line 66 of file inf_fe_static.C.

68{
69 // The "base" Elem is a non-infinite Elem corresponding to side 0 of
70 // the InfElem.
71 auto base_elem = inf_elem->build_side_ptr(0);
72
73 if (Dim > 1)
74 return FEInterface::n_dofs(fet, base_elem.get()) *
75 InfFERadial::n_dofs(fet.radial_order);
76 else
77 return InfFERadial::n_dofs(fet.radial_order);
78}

References libMesh::Elem::build_side_ptr(), libMesh::InfFERadial::n_dofs(), libMesh::FEInterface::n_dofs(), and libMesh::FEType::radial_order.

Referenced by libMesh::FEInterface::ifem_n_dofs(), and libMesh::InfFE< Dim, T_radial, T_map >::n_shape_functions().

◆ n_dofs_at_node() [1/2]

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
unsigned int libMesh::InfFE< Dim, T_radial, T_map >::n_dofs_at_node ( const FEType &  fet,
const Elem *  inf_elem,
const unsigned int  n 
)
static
Returns
The number of dofs at infinite element node n (not dof!) for an element of type t and order o.

Definition at line 113 of file inf_fe_static.C.

116{
117 // The "base" Elem is a non-infinite Elem corresponding to side 0 of
118 // the InfElem.
119 auto base_elem = inf_elem->build_side_ptr(0);
120
121 unsigned int n_base, n_radial;
122 compute_node_indices(inf_elem->type(), n, n_base, n_radial);
123
124 if (Dim > 1)
125 return FEInterface::n_dofs_at_node(fet, base_elem.get(), n_base)
126 * InfFERadial::n_dofs_at_node(fet.radial_order, n_radial);
127 else
128 return InfFERadial::n_dofs_at_node(fet.radial_order, n_radial);
129}
libMesh::InfFERadial::n_dofs_at_node
static unsigned int n_dofs_at_node(const Order o_radial, const unsigned int n_onion)
Definition inf_fe_base_radial.C:115

References libMesh::Elem::build_side_ptr(), libMesh::InfFERadial::n_dofs_at_node(), libMesh::FEInterface::n_dofs_at_node(), libMesh::FEType::radial_order, and libMesh::Elem::type().

◆ n_dofs_at_node() [2/2]

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
unsigned int libMesh::InfFE< Dim, T_radial, T_map >::n_dofs_at_node ( const FEType &  fet,
const ElemType  inf_elem_type,
const unsigned int  n 
)
static
Returns
The number of dofs at infinite element node n (not dof!) for an element of type t and order o.

Definition at line 84 of file inf_fe_static.C.

87{
88 libmesh_deprecated();
89
90 const ElemType base_et (InfFEBase::get_elem_type(inf_elem_type));
91
92 unsigned int n_base, n_radial;
93 compute_node_indices(inf_elem_type, n, n_base, n_radial);
94
95 // libMesh::out << "elem_type=" << inf_elem_type
96 // << ", fet.radial_order=" << fet.radial_order
97 // << ", n=" << n
98 // << ", n_radial=" << n_radial
99 // << ", n_base=" << n_base
100 // << std::endl;
101
102 if (Dim > 1)
103 return FEInterface::n_dofs_at_node(Dim-1, fet, base_et, n_base)
104 * InfFERadial::n_dofs_at_node(fet.radial_order, n_radial);
105 else
106 return InfFERadial::n_dofs_at_node(fet.radial_order, n_radial);
107}

References libMesh::InfFEBase::get_elem_type(), libMesh::InfFERadial::n_dofs_at_node(), libMesh::FEInterface::n_dofs_at_node(), and libMesh::FEType::radial_order.

Referenced by libMesh::FEInterface::ifem_n_dofs_at_node(), and libMesh::FEInterface::ifem_n_dofs_at_node().

◆ n_dofs_per_elem() [1/2]

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
unsigned int libMesh::InfFE< Dim, T_radial, T_map >::n_dofs_per_elem ( const FEType &  fet,
const Elem *  inf_elem 
)
static
Returns
The number of dofs interior to the element, not associated with any interior nodes.

Definition at line 153 of file inf_fe_static.C.

155{
156 // The "base" Elem is a non-infinite Elem corresponding to side 0 of
157 // the InfElem.
158 auto base_elem = inf_elem->build_side_ptr(0);
159
160 if (Dim > 1)
161 return FEInterface::n_dofs_per_elem(fet, base_elem.get())
162 * InfFERadial::n_dofs_per_elem(fet.radial_order);
163 else
164 return InfFERadial::n_dofs_per_elem(fet.radial_order);
165}
libMesh::InfFERadial::n_dofs_per_elem
static unsigned int n_dofs_per_elem(const Order o_radial)
Definition inf_fe.h:136

References libMesh::Elem::build_side_ptr(), libMesh::InfFERadial::n_dofs_per_elem(), libMesh::FEInterface::n_dofs_per_elem(), and libMesh::FEType::radial_order.

◆ n_dofs_per_elem() [2/2]

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
unsigned int libMesh::InfFE< Dim, T_radial, T_map >::n_dofs_per_elem ( const FEType &  fet,
const ElemType  inf_elem_type 
)
static
Returns
The number of dofs interior to the element, not associated with any interior nodes.
Deprecated:
Call the version of this function that takes an Elem* instead for consistency with other FEInterface::n_dofs() methods.

Definition at line 135 of file inf_fe_static.C.

137{
138 libmesh_deprecated();
139
140 const ElemType base_et (InfFEBase::get_elem_type(inf_elem_type));
141
142 if (Dim > 1)
143 return FEInterface::n_dofs_per_elem(Dim-1, fet, base_et)
144 * InfFERadial::n_dofs_per_elem(fet.radial_order);
145 else
146 return InfFERadial::n_dofs_per_elem(fet.radial_order);
147}

References libMesh::InfFEBase::get_elem_type(), libMesh::InfFERadial::n_dofs_per_elem(), libMesh::FEInterface::n_dofs_per_elem(), and libMesh::FEType::radial_order.

Referenced by libMesh::FEInterface::ifem_n_dofs_per_elem(), and libMesh::FEInterface::ifem_n_dofs_per_elem().

◆ n_objects()

static unsigned int libMesh::ReferenceCounter::n_objects ( )
inlinestaticinherited

Prints the number of outstanding (created, but not yet destroyed) objects.

Definition at line 85 of file reference_counter.h.

86 { return _n_objects; }
libMesh::ReferenceCounter::_n_objects
static Threads::atomic< unsigned int > _n_objects
The number of objects.
Definition reference_counter.h:132

References libMesh::ReferenceCounter::_n_objects.

Referenced by libMesh::LibMeshInit::~LibMeshInit().

◆ n_quadrature_points()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual unsigned int libMesh::InfFE< Dim, T_radial, T_map >::n_quadrature_points ( ) const
inlineoverridevirtual
Returns
The total number of quadrature points. Call this to get an upper bound for the for loop in your simulation for matrix assembly of the current element.

Reimplemented from libMesh::FEAbstract.

Definition at line 560 of file inf_fe.h.

561 { libmesh_assert(radial_qrule); return this->_n_total_qp; }

References libMesh::FEAbstract::_n_total_qp, libMesh::libmesh_assert(), and libMesh::InfFE< Dim, T_radial, T_map >::radial_qrule.

◆ n_shape_functions() [1/2]

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual unsigned int libMesh::InfFE< Dim, T_radial, T_map >::n_shape_functions ( ) const
inlineoverridevirtual
Returns
The number of shape functions associated with this infinite element.

Implements libMesh::FEAbstract.

Definition at line 552 of file inf_fe.h.

553 { return _n_total_approx_sf; }

References libMesh::InfFE< Dim, T_radial, T_map >::_n_total_approx_sf.

Referenced by libMesh::FEInterface::ifem_n_shape_functions().

◆ n_shape_functions() [2/2]

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
static unsigned int libMesh::InfFE< Dim, T_radial, T_map >::n_shape_functions ( const FEType &  fet,
const Elem *  inf_elem 
)
inlinestatic
Returns
The number of shape functions associated with a finite element of type t and approximation order o.

Definition at line 381 of file inf_fe.h.

383 { return n_dofs(fet, inf_elem); }

References libMesh::InfFE< Dim, T_radial, T_map >::n_dofs().

◆ nodal_soln()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
void libMesh::InfFE< Dim, T_radial, T_map >::nodal_soln ( const FEType &  fet,
const Elem *  elem,
const std::vector< Number > &  elem_soln,
std::vector< Number > &  nodal_soln 
)
static

Usually, this method would build the nodal soln from the element soln.

But infinite elements require additional simulation-specific data to compute physically correct results. Use compute_data() to compute results. For compatibility an empty vector is returned.

Definition at line 170 of file inf_fe_static.C.

174{
175#ifdef DEBUG
176 if (!_warned_for_nodal_soln)
177 {
178 libMesh::err << "WARNING: nodal_soln(...) does _not_ work for infinite elements." << std::endl
179 << " Will return an empty nodal solution. Use " << std::endl
180 << " InfFE<Dim,T_radial,T_map>::compute_data(..) instead!" << std::endl;
181 _warned_for_nodal_soln = true;
182 }
183#endif
184
185 /*
186 * In the base the infinite element couples to
187 * conventional finite elements. To not destroy
188 * the values there, clear \p nodal_soln. This
189 * indicates to the user of \p nodal_soln to
190 * not use this result.
191 */
192 nodal_soln.clear();
193 libmesh_assert (nodal_soln.empty());
194 return;
195}
libMesh::InfFE::_warned_for_nodal_soln
static bool _warned_for_nodal_soln
static members that are used to issue warning messages only once.
Definition inf_fe.h:1241
libMesh::InfFE::nodal_soln
static void nodal_soln(const FEType &fet, const Elem *elem, const std::vector< Number > &elem_soln, std::vector< Number > &nodal_soln)
Usually, this method would build the nodal soln from the element soln.
Definition inf_fe_static.C:170

References libMesh::err, and libMesh::libmesh_assert().

Referenced by libMesh::FEInterface::ifem_nodal_soln().

◆ on_reference_element()

bool libMesh::FEAbstract::on_reference_element ( const Point &  p,
const ElemType  t,
const Real  eps = TOLERANCE 
)
staticinherited
Returns
true if the point p is located on the reference element for element type t, false otherwise. Since we are doing floating point comparisons here the parameter eps can be specified to indicate a tolerance. For example, \( x \le 1 \) becomes \( x \le 1 + \epsilon \).
Deprecated:
This method overload does not support all finite element types; e.g. the reference element for an arbitrary polygon or polyhedron type may differ from element to element. Use Elem::on_reference_element() instead.

Definition at line 637 of file fe_abstract.C.

638{
639 // Use Elem::on_reference_element() instead
640 libmesh_deprecated();
641
642 libmesh_assert_greater_equal (eps, 0.);
643
644 const Real xi = p(0);
645#if LIBMESH_DIM > 1
646 const Real eta = p(1);
647#else
648 const Real eta = 0.;
649#endif
650#if LIBMESH_DIM > 2
651 const Real zeta = p(2);
652#else
653 const Real zeta = 0.;
654#endif
655
656 switch (t)
657 {
658 case NODEELEM:
659 {
660 return (!xi && !eta && !zeta);
661 }
662 case EDGE2:
663 case EDGE3:
664 case EDGE4:
665 {
666 // The reference 1D element is [-1,1].
667 if ((xi >= -1.-eps) &&
668 (xi <= 1.+eps))
669 return true;
670
671 return false;
672 }
673
674
675 case TRI3:
676 case TRISHELL3:
677 case TRI6:
678 case TRI7:
679 {
680 // The reference triangle is isosceles
681 // and is bound by xi=0, eta=0, and xi+eta=1.
682 if ((xi >= 0.-eps) &&
683 (eta >= 0.-eps) &&
684 ((xi + eta) <= 1.+eps))
685 return true;
686
687 return false;
688 }
689
690
691 case QUAD4:
692 case QUADSHELL4:
693 case QUAD8:
694 case QUADSHELL8:
695 case QUAD9:
696 case QUADSHELL9:
697 {
698 // The reference quadrilateral element is [-1,1]^2.
699 if ((xi >= -1.-eps) &&
700 (xi <= 1.+eps) &&
701 (eta >= -1.-eps) &&
702 (eta <= 1.+eps))
703 return true;
704
705 return false;
706 }
707
708
709 case TET4:
710 case TET10:
711 case TET14:
712 {
713 // The reference tetrahedral is isosceles
714 // and is bound by xi=0, eta=0, zeta=0,
715 // and xi+eta+zeta=1.
716 if ((xi >= 0.-eps) &&
717 (eta >= 0.-eps) &&
718 (zeta >= 0.-eps) &&
719 ((xi + eta + zeta) <= 1.+eps))
720 return true;
721
722 return false;
723 }
724
725
726 case HEX8:
727 case HEX20:
728 case HEX27:
729 {
730 /*
731 if ((xi >= -1.) &&
732 (xi <= 1.) &&
733 (eta >= -1.) &&
734 (eta <= 1.) &&
735 (zeta >= -1.) &&
736 (zeta <= 1.))
737 return true;
738 */
739
740 // The reference hexahedral element is [-1,1]^3.
741 if ((xi >= -1.-eps) &&
742 (xi <= 1.+eps) &&
743 (eta >= -1.-eps) &&
744 (eta <= 1.+eps) &&
745 (zeta >= -1.-eps) &&
746 (zeta <= 1.+eps))
747 {
748 // libMesh::out << "Strange Point:\n";
749 // p.print();
750 return true;
751 }
752
753 return false;
754 }
755
756 case PRISM6:
757 case PRISM15:
758 case PRISM18:
759 case PRISM20:
760 case PRISM21:
761 {
762 // Figure this one out...
763 // inside the reference triangle with zeta in [-1,1]
764 if ((xi >= 0.-eps) &&
765 (eta >= 0.-eps) &&
766 (zeta >= -1.-eps) &&
767 (zeta <= 1.+eps) &&
768 ((xi + eta) <= 1.+eps))
769 return true;
770
771 return false;
772 }
773
774
775 case PYRAMID5:
776 case PYRAMID13:
777 case PYRAMID14:
778 case PYRAMID18:
779 {
780 // Check that the point is on the same side of all the faces
781 // by testing whether:
782 //
783 // n_i.(x - x_i) <= 0
784 //
785 // for each i, where:
786 // n_i is the outward normal of face i,
787 // x_i is a point on face i.
788 if ((-eta - 1. + zeta <= 0.+eps) &&
789 ( xi - 1. + zeta <= 0.+eps) &&
790 ( eta - 1. + zeta <= 0.+eps) &&
791 ( -xi - 1. + zeta <= 0.+eps) &&
792 ( zeta >= 0.-eps))
793 return true;
794
795 return false;
796 }
797
798#ifdef LIBMESH_ENABLE_INFINITE_ELEMENTS
799 case INFHEX8:
800 case INFHEX16:
801 case INFHEX18:
802 {
803 // The reference infhex8 is a [-1,1]^3.
804 if ((xi >= -1.-eps) &&
805 (xi <= 1.+eps) &&
806 (eta >= -1.-eps) &&
807 (eta <= 1.+eps) &&
808 (zeta >= -1.-eps) &&
809 (zeta <= 1.+eps))
810 {
811 return true;
812 }
813 return false;
814 }
815
816 case INFPRISM6:
817 case INFPRISM12:
818 {
819 // inside the reference triangle with zeta in [-1,1]
820 if ((xi >= 0.-eps) &&
821 (eta >= 0.-eps) &&
822 (zeta >= -1.-eps) &&
823 (zeta <= 1.+eps) &&
824 ((xi + eta) <= 1.+eps))
825 {
826 return true;
827 }
828
829 return false;
830 }
831#endif
832
833 default:
834 libmesh_error_msg("ERROR: Unknown element type " << Utility::enum_to_string(t));
835 }
836
837 // If we get here then the point is _not_ in the
838 // reference element. Better return false.
839
840 return false;
841}

References libMesh::EDGE2, libMesh::EDGE3, libMesh::EDGE4, libMesh::Utility::enum_to_string(), libMesh::HEX20, libMesh::HEX27, libMesh::HEX8, libMesh::INFHEX16, libMesh::INFHEX18, libMesh::INFHEX8, libMesh::INFPRISM12, libMesh::INFPRISM6, libMesh::NODEELEM, libMesh::PRISM15, libMesh::PRISM18, libMesh::PRISM20, libMesh::PRISM21, libMesh::PRISM6, libMesh::PYRAMID13, libMesh::PYRAMID14, libMesh::PYRAMID18, libMesh::PYRAMID5, libMesh::QUAD4, libMesh::QUAD8, libMesh::QUAD9, libMesh::QUADSHELL4, libMesh::QUADSHELL8, libMesh::QUADSHELL9, libMesh::Real, libMesh::TET10, libMesh::TET14, libMesh::TET4, libMesh::TRI3, libMesh::TRI6, libMesh::TRI7, and libMesh::TRISHELL3.

Referenced by libMesh::FEInterface::ifem_on_reference_element(), and libMesh::FEInterface::on_reference_element().

◆ print_d2phi()

template<typename OutputType >
void libMesh::FEGenericBase< OutputType >::print_d2phi ( std::ostream &  os) const
overridevirtualinherited

Prints the value of each shape function's second derivatives at each quadrature point.

Implements libMesh::FEAbstract.

Definition at line 953 of file fe_base.C.

954{
955 for (auto i : index_range(dphi))
956 for (auto j : index_range(dphi[i]))
957 os << " d2phi[" << i << "][" << j << "]=" << d2phi[i][j];
958}

References libMesh::index_range().

◆ print_dphi()

template<typename OutputType >
void libMesh::FEGenericBase< OutputType >::print_dphi ( std::ostream &  os) const
overridevirtualinherited

Prints the value of each shape function's derivative at each quadrature point.

Implements libMesh::FEAbstract.

Definition at line 895 of file fe_base.C.

896{
897 for (auto i : index_range(dphi))
898 for (auto j : index_range(dphi[i]))
899 os << " dphi[" << i << "][" << j << "]=" << dphi[i][j];
900}

References libMesh::index_range().

◆ print_dual_d2phi()

template<typename OutputType >
void libMesh::FEGenericBase< OutputType >::print_dual_d2phi ( std::ostream &  os) const
overridevirtualinherited

Implements libMesh::FEAbstract.

Definition at line 961 of file fe_base.C.

962{
963 for (auto i : index_range(dual_d2phi))
964 for (auto j : index_range(dual_d2phi[i]))
965 os << " dual_d2phi[" << i << "][" << j << "]=" << dual_d2phi[i][j];
966}

References libMesh::index_range().

◆ print_dual_dphi()

template<typename OutputType >
void libMesh::FEGenericBase< OutputType >::print_dual_dphi ( std::ostream &  os) const
overridevirtualinherited

Implements libMesh::FEAbstract.

Definition at line 903 of file fe_base.C.

904{
905 for (auto i : index_range(dphi))
906 for (auto j : index_range(dphi[i]))
907 os << " dual_dphi[" << i << "][" << j << "]=" << dual_dphi[i][j];
908}

References libMesh::index_range().

◆ print_dual_phi()

template<typename OutputType >
void libMesh::FEGenericBase< OutputType >::print_dual_phi ( std::ostream &  os) const
overridevirtualinherited

Implements libMesh::FEAbstract.

Definition at line 884 of file fe_base.C.

885{
886 for (auto i : index_range(dual_phi))
887 for (auto j : index_range(dual_phi[i]))
888 os << " dual_phi[" << i << "][" << j << "]=" << dual_phi[i][j] << std::endl;
889}

References libMesh::index_range().

◆ print_info() [1/2]

void libMesh::FEAbstract::print_info ( std::ostream &  os) const
inherited

Prints all the relevant information about the current element.

Definition at line 859 of file fe_abstract.C.

860{
861 os << "phi[i][j]: Shape function i at quadrature pt. j" << std::endl;
862 this->print_phi(os);
863
864 os << "dphi[i][j]: Shape function i's gradient at quadrature pt. j" << std::endl;
865 this->print_dphi(os);
866
867 os << "XYZ locations of the quadrature pts." << std::endl;
868 this->print_xyz(os);
869
870 os << "Values of JxW at the quadrature pts." << std::endl;
871 this->print_JxW(os);
872}
libMesh::FEAbstract::print_JxW
void print_JxW(std::ostream &os) const
Prints the Jacobian times the weight for each quadrature point.
Definition fe_abstract.C:846
libMesh::FEAbstract::print_dphi
virtual void print_dphi(std::ostream &os) const =0
Prints the value of each shape function's derivative at each quadrature point.
libMesh::FEAbstract::print_phi
virtual void print_phi(std::ostream &os) const =0
Prints the value of each shape function at each quadrature point.
libMesh::FEAbstract::print_xyz
void print_xyz(std::ostream &os) const
Prints the spatial location of each quadrature point (on the physical element).
Definition fe_abstract.C:853

References libMesh::FEAbstract::print_dphi(), libMesh::FEAbstract::print_JxW(), libMesh::FEAbstract::print_phi(), and libMesh::FEAbstract::print_xyz().

◆ print_info() [2/2]

void libMesh::ReferenceCounter::print_info ( std::ostream &  out_stream = libMesh::out)
staticinherited

Prints the reference information, by default to libMesh::out.

Definition at line 81 of file reference_counter.C.

82{
83 if (_enable_print_counter)
84 out_stream << ReferenceCounter::get_info();
85}
libMesh::ReferenceCounter::get_info
static std::string get_info()
Gets a string containing the reference information.
Definition reference_counter.C:47

References libMesh::ReferenceCounter::_enable_print_counter, and libMesh::ReferenceCounter::get_info().

Referenced by libMesh::LibMeshInit::~LibMeshInit().

◆ print_JxW()

void libMesh::FEAbstract::print_JxW ( std::ostream &  os) const
inherited

Prints the Jacobian times the weight for each quadrature point.

Definition at line 846 of file fe_abstract.C.

847{
848 this->_fe_map->print_JxW(os);
849}

References libMesh::FEAbstract::_fe_map.

Referenced by libMesh::FEAbstract::print_info().

◆ print_phi()

template<typename OutputType >
void libMesh::FEGenericBase< OutputType >::print_phi ( std::ostream &  os) const
overridevirtualinherited

Prints the value of each shape function at each quadrature point.

Implements libMesh::FEAbstract.

Definition at line 876 of file fe_base.C.

877{
878 for (auto i : index_range(phi))
879 for (auto j : index_range(phi[i]))
880 os << " phi[" << i << "][" << j << "]=" << phi[i][j] << std::endl;
881}

References libMesh::index_range().

◆ print_xyz()

void libMesh::FEAbstract::print_xyz ( std::ostream &  os) const
inherited

Prints the spatial location of each quadrature point (on the physical element).

Definition at line 853 of file fe_abstract.C.

854{
855 this->_fe_map->print_xyz(os);
856}

References libMesh::FEAbstract::_fe_map.

Referenced by libMesh::FEAbstract::print_info().

◆ reinit() [1/2]

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
void libMesh::InfFE< Dim, T_radial, T_map >::reinit ( const Elem *  elem,
const std::vector< Point > *const  pts = nullptr,
const std::vector< Real > *const  weights = nullptr 
)
overridevirtual

This is at the core of this class.

Use this for each new element in the mesh. Reinitializes all the physical element-dependent data based on the current element elem.

Note
pts need to be in reference space coordinates, not physical ones.

Implements libMesh::FEAbstract.

Definition at line 120 of file inf_fe.C.

123{
124 libmesh_assert(base_fe.get());
125 libmesh_assert(inf_elem);
126
127 // checks for consistency of requested calculations,
128 // adds further quantities as needed.
129 this->determine_calculations();
130
131 if (pts == nullptr)
132 {
133 libmesh_assert(base_fe->qrule);
134 libmesh_assert_equal_to (base_fe->qrule, base_qrule.get());
135 libmesh_assert(radial_qrule.get());
136
137 bool init_shape_functions_required = false;
138
139 // init the radial data fields only when the radial order changes
140 if (current_fe_type.radial_order != fe_type.radial_order)
141 {
142 current_fe_type.radial_order = fe_type.radial_order;
143
144 // Watch out: this call to QBase->init() only works for
145 // current_fe_type = const! To allow variable Order,
146 // the init() of QBase has to be modified...
147 radial_qrule->init(EDGE2);
148
149 // initialize the radial shape functions
150 this->init_radial_shape_functions(inf_elem);
151
152 init_shape_functions_required=true;
153 }
154
155
156 bool update_base_elem_required=true;
157
158 // update the type in accordance to the current cell
159 // and reinit if the cell type has changed or (as in
160 // the case of the hierarchics) the shape functions
161 // depend on the particular element and need a reinit
162 if ((Dim != 1) &&
163 ((this->get_type() != inf_elem->type()) ||
164 (base_fe->shapes_need_reinit())))
165 {
166 // store the new element type, update base_elem
167 // here. Through \p update_base_elem_required,
168 // remember whether it has to be updated (see below).
169 this->_elem = inf_elem;
170 this->_elem_type = inf_elem->type();
171 this->update_base_elem(inf_elem);
172 update_base_elem_required=false;
173
174 // initialize the base quadrature rule for the new element
175 base_qrule->init(*base_elem);
176 init_shape_functions_required=true;
177
178 }
179 else
180 this->_elem = inf_elem;
181
182 // computing the reference-to-physical map and coordinates works
183 // only, if we have the current base_elem stored.
184 // This happens when fe_type is const,
185 // the inf_elem->type remains the same. Then we have to
186 // update the base elem _here_.
187 if (update_base_elem_required)
188 this->update_base_elem(inf_elem);
189
190 if (calculate_phi_scaled || calculate_dphi_scaled || calculate_phi || calculate_dphi)
191 // initialize the shape functions in the base
192 base_fe->init_base_shape_functions(base_fe->qrule->get_points(),
193 base_elem.get());
194
195 // compute the shape functions and map functions of base_fe
196 // before using them later in compute_shape_functions.
197 base_fe->_fe_map->compute_map (base_fe->dim, base_fe->qrule->get_weights(),
198 base_elem.get(), base_fe->calculate_d2phi);
199 base_fe->compute_shape_functions(base_elem.get(), base_fe->qrule->get_points());
200
201 // when either the radial or base part change,
202 // we have to init the whole fields
203 if (init_shape_functions_required)
204 this->init_shape_functions (radial_qrule->get_points(),
205 base_fe->qrule->get_points(),
206 inf_elem);
207
208 // Compute the shape functions and the derivatives
209 // at all quadrature points.
210 this->compute_shape_functions (inf_elem,
211 base_fe->qrule->get_points(),
212 radial_qrule->get_points()
213 /* weights are computed inside the function*/
214 );
215 }
216
217 else // if pts != nullptr
218 {
219 // update the elem
220 this->_elem = inf_elem;
221 this->_elem_type = inf_elem->type();
222
223 // We'll assume that pts is a tensor product mesh of points.
224 // pts[i] = pts[ angular_index + n_angular_pts * radial_index]
225 // That will handle the pts.size()==1 case that we care about
226 // right now, and it will generalize a bit, and it won't break
227 // the assumptions elsewhere in InfFE.
228 std::vector<Point> radial_pts;
229 if (pts->size() > 0)
230 {
231 Real radius = (*pts)[0](Dim-1);
232 radial_pts.push_back(radius);
233 unsigned int n_radial_pts=1;
234 unsigned int n_angular_pts=1;
235 for (auto p : IntRange<std::size_t>(1, pts->size()))
236 {
237 radius = (*pts)[p](Dim-1);
238 // check for changes of radius: The max. allowed distance is somewhat arbitrary
239 // but the given value should not produce false positives...
240 if (std::abs(radial_pts[n_radial_pts-1](0) - radius) > 1e-4)
241 {
242 // it may change only every n_angular_pts:
243 if (p == (n_radial_pts)*n_angular_pts)
244 {
245 radial_pts.push_back(radius);
246 ++n_radial_pts;
247 }
248 else
249 {
250 libmesh_error_msg("We assumed that the "<<pts->size()
251 <<" points are of tensor-product type with "
252 <<n_radial_pts<<" radial points and "
253 <<n_angular_pts<< " angular points."<<std::endl
254 <<"But apparently point "<<p+1
255 <<" does not fit that scheme: Its radius is "
256 <<radius <<"but should have "
257 <<radial_pts[n_radial_pts*n_angular_pts-p]<<".");
258 //<<radial_pts[p-n_radial_pts*n_angular_pts]<<".");
259 }
260 }
261 // if we are still at the first radial segment,
262 // we consider another angular point
263 else if (n_radial_pts == 1)
264 {
265 ++n_angular_pts;
266 }
267 // if there was repetition but this does not, the assumed
268 // format does not work:
269 }
270 }
271 else
272 {
273 // I don't see any reason to call this function with no points.
274 libmesh_error_msg("Calling reinit() with an empty point list is prohibited.\n");
275 }
276
277 const std::size_t radial_pts_size = radial_pts.size();
278 const std::size_t base_pts_size = pts->size() / radial_pts_size;
279 // If we're a tensor product we should have no remainder
280 libmesh_assert_equal_to
281 (base_pts_size * radial_pts_size, pts->size());
282
283
284 std::vector<Point> base_pts;
285 base_pts.reserve(base_pts_size);
286 for (std::size_t p=0; p != base_pts_size; ++p)
287 {
288 Point pt = (*pts)[p];
289 pt(Dim-1) = 0;
290 base_pts.push_back(pt);
291 }
292
293 // init radial shapes
294 this->init_radial_shape_functions(inf_elem, &radial_pts);
295
296 // update the base
297 this->update_base_elem(inf_elem);
298
299 // the finite element on the ifem base
300 base_fe = FEBase::build(Dim-1, this->fe_type);
301
302 // having a new base_fe, we need to redetermine the tasks...
303 this->determine_calculations();
304
305 base_fe->reinit( base_elem.get(), &base_pts);
306
307 this->init_shape_functions (radial_pts, base_pts, inf_elem);
308
309 // finally compute the ifem shapes
310 if (weights != nullptr)
311 {
312 this->compute_shape_functions (inf_elem,base_pts,radial_pts);
313 }
314 else
315 {
316 this->compute_shape_functions (inf_elem, base_pts, radial_pts);
317 }
318
319 }
320
321 if (this->calculate_dual)
322 libmesh_not_implemented_msg("Dual shape support for infinite elements is "
323 "not currently implemented");
324}
libMesh::Elem::type
virtual ElemType type() const =0
libMesh::FEAbstract::get_type
ElemType get_type() const
Definition fe_abstract.h:509
libMesh::InfFE::determine_calculations
virtual void determine_calculations() override
Determine which values are to be calculated, for both the FE itself and for the FEMap.
Definition inf_fe.C:329
libMesh::InfFE::compute_shape_functions
void compute_shape_functions(const Elem *inf_elem, const std::vector< Point > &base_qp, const std::vector< Point > &radial_qp)
After having updated the jacobian and the transformation from local to global coordinates in FEAbstra...
Definition inf_fe.C:753
libMesh::InfFE::init_shape_functions
void init_shape_functions(const std::vector< Point > &radial_qp, const std::vector< Point > &base_qp, const Elem *inf_elem)
Initialize all the data fields like weight, mode, phi, dphidxi, dphideta, dphidzeta,...
Definition inf_fe.C:451
radius
const Real radius
Definition subdomains_ex3.C:49

References libMesh::FEGenericBase< OutputType >::build(), libMesh::EDGE2, libMesh::libmesh_assert(), radius, libMesh::Real, and libMesh::Elem::type().

◆ reinit() [2/2]

template<unsigned int Dim, FEFamily T_radial, InfMapType T_base>
void libMesh::InfFE< Dim, T_radial, T_base >::reinit ( const Elem *  inf_elem,
const unsigned int  s,
const Real  tolerance = TOLERANCE,
const std::vector< Point > *const  pts = nullptr,
const std::vector< Real > *const  weights = nullptr 
)
overridevirtual

Reinitializes all the physical element-dependent data based on the side of an infinite element.

After the recent larger changes, this case was not tested. It might work, but maybe it gives wrong results.

Implements libMesh::FEAbstract.

Definition at line 37 of file inf_fe_boundary.C.

42{
43 if (weights != nullptr)
44 libmesh_not_implemented_msg("ERROR: User-specified weights for infinite elements are not implemented!");
45
46 if (pts != nullptr)
47 libmesh_not_implemented_msg("ERROR: User-specified points for infinite elements are not implemented!");
48
49 // We don't do this for 1D elements!
50 libmesh_assert_not_equal_to (Dim, 1);
51
52 libmesh_assert(inf_elem);
53 libmesh_assert(qrule);
54
55 // Build the side of interest
56 const std::unique_ptr<const Elem> side(inf_elem->build_side_ptr(s));
57
58 // set the element and type
59 this->_elem = inf_elem;
60 this->_elem_type = inf_elem->type();
61
62 // eventually initialize radial quadrature rule
63 bool radial_qrule_initialized = false;
64
65 // if we are working on the base-side, the radial function is constant.
66 // With this, we ensure that at least for base elements we reinitialize all quantities
67 // when we enter for the first time.
68 if (s == 0)
69 current_fe_type.radial_order = 0;
70 else
75 libmesh_not_implemented();
76
77 if (current_fe_type.radial_order != fe_type.radial_order)
78 {
79 if (s > 0)
80 {
81 current_fe_type.radial_order = fe_type.radial_order;
82 radial_qrule->init(EDGE2, inf_elem->p_level());
83 }
84 else
85 {
86 // build a new 0-dimensional quadrature-rule:
87 radial_qrule=QBase::build(QGAUSS, 0, fe_type.radial_order);
88 radial_qrule->init(NODEELEM, 0, /*simple_type_only=*/true);
89
90 //the base_qrule is set up with dim-1, but apparently we need dim, so we replace it:
91 base_qrule=QBase::build(qrule->type(), side->dim(), qrule->get_order());
92
93 unsigned int side_p_level = inf_elem->p_level();
94 if (inf_elem->neighbor_ptr(s) != nullptr)
95 side_p_level = std::max(side_p_level, inf_elem->neighbor_ptr(s)->p_level());
96 base_qrule->init(*side, side_p_level);
97 }
98 radial_qrule_initialized = true;
99 }
100
101 // Initialize the face shape functions
102 if (this->get_type() != inf_elem->type() ||
103 base_fe->shapes_need_reinit() ||
104 radial_qrule_initialized)
105 this->init_face_shape_functions (qrule->get_points(), side.get());
106
107 // The reinit() function computes all what we want except for
108 // - normal, tangents: They are not considered
109 // This is done below:
110 compute_face_functions();
111}
libMesh::InfFE::init_face_shape_functions
void init_face_shape_functions(const std::vector< Point > &, const Elem *inf_side)
Initialize all the data fields like weight, phi, etc for the side s.
Definition inf_fe_boundary.C:135
libMesh::InfFE::compute_face_functions
void compute_face_functions()
Definition inf_fe_boundary.C:236
libMesh::QBase::get_order
Order get_order() const
Definition quadrature.h:249
libMesh::QBase::get_points
const std::vector< Point > & get_points() const
Definition quadrature.h:156
libMesh::QBase::type
virtual QuadratureType type() const =0

References libMesh::QBase::build(), libMesh::Elem::build_side_ptr(), libMesh::EDGE2, libMesh::libmesh_assert(), libMesh::Elem::neighbor_ptr(), libMesh::NODEELEM, libMesh::Elem::p_level(), libMesh::QGAUSS, and libMesh::Elem::type().

◆ reinit_default_dual_shape_coeffs()

virtual void libMesh::FEAbstract::reinit_default_dual_shape_coeffs ( const Elem *  )
inlinevirtualinherited

This re-computes the dual shape function coefficients using DEFAULT qrule.

This has not been implemented for InfFE

Reimplemented in libMesh::FE< Dim, T >, libMesh::FE< 2, SUBDIVISION >, libMesh::FE< Dim, CLOUGH >, libMesh::FE< Dim, HERMITE >, libMesh::FE< Dim, HIERARCHIC >, libMesh::FE< Dim, HIERARCHIC_VEC >, libMesh::FE< Dim, L2_HIERARCHIC >, libMesh::FE< Dim, L2_HIERARCHIC_VEC >, libMesh::FE< Dim, L2_LAGRANGE >, libMesh::FE< Dim, L2_LAGRANGE_VEC >, libMesh::FE< Dim, L2_RAVIART_THOMAS >, libMesh::FE< Dim, LAGRANGE >, libMesh::FE< Dim, LAGRANGE_VEC >, libMesh::FE< Dim, MONOMIAL >, libMesh::FE< Dim, MONOMIAL_VEC >, libMesh::FE< Dim, NEDELEC_ONE >, libMesh::FE< Dim, RAVIART_THOMAS >, libMesh::FE< Dim, SCALAR >, and libMesh::FE< Dim, XYZ >.

Definition at line 161 of file fe_abstract.h.

162 {
163 libmesh_error_msg("Default dual shape coefficient calculation has not been implemented for this FE type.");
164 }

◆ reinit_dual_shape_coeffs()

virtual void libMesh::FEAbstract::reinit_dual_shape_coeffs ( const Elem *  ,
const std::vector< Point > &  ,
const std::vector< Real > &   
)
inlinevirtualinherited

This re-computes the dual shape function coefficients using CUSTOMIZED qrule.

The dual shape coefficients are utilized when calculating dual shape functions. This has not been implemented for InfFE

Reimplemented in libMesh::FE< Dim, T >, libMesh::FE< 2, SUBDIVISION >, libMesh::FE< Dim, CLOUGH >, libMesh::FE< Dim, HERMITE >, libMesh::FE< Dim, HIERARCHIC >, libMesh::FE< Dim, HIERARCHIC_VEC >, libMesh::FE< Dim, L2_HIERARCHIC >, libMesh::FE< Dim, L2_HIERARCHIC_VEC >, libMesh::FE< Dim, L2_LAGRANGE >, libMesh::FE< Dim, L2_LAGRANGE_VEC >, libMesh::FE< Dim, L2_RAVIART_THOMAS >, libMesh::FE< Dim, LAGRANGE >, libMesh::FE< Dim, LAGRANGE_VEC >, libMesh::FE< Dim, MONOMIAL >, libMesh::FE< Dim, MONOMIAL_VEC >, libMesh::FE< Dim, NEDELEC_ONE >, libMesh::FE< Dim, RAVIART_THOMAS >, libMesh::FE< Dim, SCALAR >, and libMesh::FE< Dim, XYZ >.

Definition at line 150 of file fe_abstract.h.

153 {
154 libmesh_error_msg("Customized dual shape coefficient calculation has not been implemented for this FE type.");
155 }

◆ request_dphi()

template<typename OutputType >
virtual void libMesh::FEGenericBase< OutputType >::request_dphi ( ) const
inlineoverridevirtualinherited

request dphi calculations

Implements libMesh::FEAbstract.

Definition at line 238 of file fe_base.h.

239 { get_dphi(); }
libMesh::FEGenericBase::get_dphi
const std::vector< std::vector< OutputGradient > > & get_dphi() const
Definition fe_base.h:230

References libMesh::FEGenericBase< OutputType >::get_dphi().

◆ request_dual_dphi()

template<typename OutputType >
virtual void libMesh::FEGenericBase< OutputType >::request_dual_dphi ( ) const
inlineoverridevirtualinherited

Implements libMesh::FEAbstract.

Definition at line 241 of file fe_base.h.

242 { get_dual_dphi(); }
libMesh::FEGenericBase::get_dual_dphi
const std::vector< std::vector< OutputGradient > > & get_dual_dphi() const
Definition fe_base.h:234

References libMesh::FEGenericBase< OutputType >::get_dual_dphi().

◆ request_dual_phi()

template<typename OutputType >
virtual void libMesh::FEGenericBase< OutputType >::request_dual_phi ( ) const
inlineoverridevirtualinherited

Implements libMesh::FEAbstract.

Definition at line 223 of file fe_base.h.

224 { get_dual_phi(); }
libMesh::FEGenericBase::get_dual_phi
const std::vector< std::vector< OutputShape > > & get_dual_phi() const
Definition fe_base.h:211

References libMesh::FEGenericBase< OutputType >::get_dual_phi().

◆ request_phi()

template<typename OutputType >
virtual void libMesh::FEGenericBase< OutputType >::request_phi ( ) const
inlineoverridevirtualinherited

request phi calculations

Implements libMesh::FEAbstract.

Definition at line 220 of file fe_base.h.

221 { get_phi(); }
libMesh::FEGenericBase::get_phi
const std::vector< std::vector< OutputShape > > & get_phi() const
Definition fe_base.h:207

References libMesh::FEGenericBase< OutputType >::get_phi().

Referenced by libMesh::FEGenericBase< OutputType >::get_dual_phi().

◆ set_calculate_default_dual_coeff()

void libMesh::FEAbstract::set_calculate_default_dual_coeff ( const bool  val)
inlineinherited

set calculate_default_dual_coeff as needed

Definition at line 626 of file fe_abstract.h.

626{calculate_default_dual_coeff = val; }
libMesh::FEAbstract::calculate_default_dual_coeff
bool calculate_default_dual_coeff
Are we calculating the coefficient for the dual basis using the default qrule?
Definition fe_abstract.h:676

References libMesh::FEAbstract::calculate_default_dual_coeff.

◆ set_calculate_dual()

void libMesh::FEAbstract::set_calculate_dual ( const bool  val)
inlineinherited

set calculate_dual as needed

Definition at line 621 of file fe_abstract.h.

621{calculate_dual = val; }

References libMesh::FEAbstract::calculate_dual.

◆ set_fe_order()

void libMesh::FEAbstract::set_fe_order ( int  new_order)
inlineinherited

Sets the base FE order of the finite element.

Definition at line 531 of file fe_abstract.h.

531{ fe_type.order = new_order; }

References libMesh::FEAbstract::fe_type, and libMesh::FEType::order.

◆ shape() [1/3]

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
Real libMesh::InfFE< Dim, T_radial, T_map >::shape ( const FEType &  fet,
const Elem *  elem,
const unsigned int  i,
const Point &  p 
)
static
Returns
The value of the \( i^{th} \) shape function at point p. This method lets you specify the relevant data directly, and is therefore allowed to be static.
Note
This class member is not as efficient as its counterpart in FE<Dim,T>, and is not employed in the reinit() cycle.
This method does not return physically correct shapes, instead use compute_data(). The shape() methods should only be used for mapping.

Definition at line 250 of file inf_fe_static.C.

254{
255 libmesh_assert(inf_elem);
256 libmesh_assert_not_equal_to (Dim, 0);
257
258#ifdef DEBUG
259 // this makes only sense when used for mapping
260 if ((T_radial != INFINITE_MAP) && !_warned_for_shape)
261 {
262 libMesh::err << "WARNING: InfFE<Dim,T_radial,T_map>::shape(...) does _not_" << std::endl
263 << " return the correct trial function! Use " << std::endl
264 << " InfFE<Dim,T_radial,T_map>::compute_data(..) instead!"
265 << std::endl;
266 _warned_for_shape = true;
267 }
268#endif
269
270 const Order o_radial (fet.radial_order);
271 const Real v (p(Dim-1));
272 std::unique_ptr<const Elem> base_el (inf_elem->build_side_ptr(0));
273
274 unsigned int i_base, i_radial;
275 compute_shape_indices(fet, inf_elem, i, i_base, i_radial);
276
277 if (Dim > 1)
278 return FEInterface::shape(fet, base_el.get(), i_base, p)
279 * InfFE<Dim,T_radial,T_map>::eval(v, o_radial, i_radial)
280 * InfFERadial::decay(Dim,v);
281 else
282 return InfFE<Dim,T_radial,T_map>::eval(v, o_radial, i_radial)
283 * InfFERadial::decay(Dim,v);
284}
libMesh::InfFE::_warned_for_shape
static bool _warned_for_shape
Definition inf_fe.h:1242

References libMesh::Elem::build_side_ptr(), libMesh::InfFERadial::decay(), libMesh::err, libMesh::InfFE< Dim, T_radial, T_map >::eval(), libMesh::INFINITE_MAP, libMesh::libmesh_assert(), libMesh::FEType::radial_order, libMesh::Real, and libMesh::FEInterface::shape().

◆ shape() [2/3]

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
Real libMesh::InfFE< Dim, T_radial, T_map >::shape ( const FEType &  fet,
const ElemType  t,
const unsigned int  i,
const Point &  p 
)
static
Returns
The value of the \( i^{th} \) shape function at point p. This method lets you specify the relevant data directly, and is therefore allowed to be static.
Note
This class member is not as efficient as its counterpart in FE<Dim,T>, and is not employed in the reinit() cycle.
This method does not return physically correct shapes, instead use compute_data(). The shape() methods should only be used for mapping.

Definition at line 206 of file inf_fe_static.C.

210{
211 libmesh_deprecated();
212
213 libmesh_assert_not_equal_to (Dim, 0);
214
215#ifdef DEBUG
216 // this makes only sense when used for mapping
217 if ((T_radial != INFINITE_MAP) && !_warned_for_shape)
218 {
219 libMesh::err << "WARNING: InfFE<Dim,T_radial,T_map>::shape(...) does _not_" << std::endl
220 << " return the correct trial function! Use " << std::endl
221 << " InfFE<Dim,T_radial,T_map>::compute_data(..) instead!"
222 << std::endl;
223 _warned_for_shape = true;
224 }
225#endif
226
227 const ElemType base_et (InfFEBase::get_elem_type(inf_elem_type));
228 const Order o_radial (fet.radial_order);
229 const Real v (p(Dim-1));
230
231 unsigned int i_base, i_radial;
232 compute_shape_indices(fet, inf_elem_type, i, i_base, i_radial);
233
234 //TODO:[SP/DD] exp(ikr) is still missing here!
235 // but is it intended? It would be probably somehow nice, but than it would be Number, not Real !
236 // --> thus it would destroy the interface...
237 if (Dim > 1)
238 return FEInterface::shape(Dim-1, fet, base_et, i_base, p)
239 * InfFE<Dim,T_radial,T_map>::eval(v, o_radial, i_radial)
240 * InfFERadial::decay(Dim,v);
241 else
242 return InfFE<Dim,T_radial,T_map>::eval(v, o_radial, i_radial)
243 * InfFERadial::decay(Dim,v);
244}

References libMesh::InfFERadial::decay(), libMesh::err, libMesh::InfFE< Dim, T_radial, T_map >::eval(), libMesh::InfFEBase::get_elem_type(), libMesh::INFINITE_MAP, libMesh::FEType::radial_order, libMesh::Real, and libMesh::FEInterface::shape().

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::shape().

◆ shape() [3/3]

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
Real libMesh::InfFE< Dim, T_radial, T_map >::shape ( const FEType  fet,
const Elem *  elem,
const unsigned int  i,
const Point &  p,
const bool  add_p_level 
)
static
Returns
The value of the \( i^{th} \) shape function at point p. This method lets you specify the relevant data directly, and is therefore allowed to be static.
Note
This class member is not as efficient as its counterpart in FE<Dim,T>, and is not employed in the reinit() cycle.
This method does not return physically correct shapes, instead use compute_data(). The shape() methods should only be used for mapping.

Definition at line 289 of file inf_fe_static.C.

294{
295 if (add_p_level)
296 {
297 FEType tmp_fet=fet;
298 tmp_fet = fet.order + add_p_level * inf_elem->p_level();
299 return InfFE<Dim,T_radial,T_map>::shape(tmp_fet, inf_elem, i, p);
300 }
301 return InfFE<Dim,T_radial,T_map>::shape(fet, inf_elem, i, p);
302}
libMesh::InfFE::shape
static Real shape(const FEType &fet, const ElemType t, const unsigned int i, const Point &p)
Definition inf_fe_static.C:206

References libMesh::FEType::order, libMesh::Elem::p_level(), and libMesh::InfFE< Dim, T_radial, T_map >::shape().

◆ shape_deriv() [1/3]

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
Real libMesh::InfFE< Dim, T_radial, T_map >::shape_deriv ( const FEType &  fet,
const Elem *  inf_elem,
const unsigned int  i,
const unsigned int  j,
const Point &  p 
)
static
Returns
The \( j^{th} \) derivative of the \( i^{th} \) shape function at point p. This method lets you specify the relevant data directly, and is therefore allowed to be static.
Note
This class member is not as efficient as its counterpart in FE<Dim,T>, and is not employed in the reinit() cycle.
This method does not return physically correct shape gradients, instead use compute_data(). The shape_deriv() methods should only be used for mapping.

Definition at line 354 of file inf_fe_static.C.

359{
360 libmesh_assert_not_equal_to (Dim, 0);
361 libmesh_assert_greater (Dim,j);
362#ifdef DEBUG
363 // this makes only sense when used for mapping
364 if ((T_radial != INFINITE_MAP) && !_warned_for_dshape)
365 {
366 libMesh::err << "WARNING: InfFE<Dim,T_radial,T_map>::shape_deriv(...) does _not_" << std::endl
367 << " return the correct trial function gradients! Use " << std::endl
368 << " InfFE<Dim,T_radial,T_map>::compute_data(..) instead!"
369 << std::endl;
370 _warned_for_dshape = true;
371 }
372#endif
373 const Order o_radial (fe_t.radial_order);
374 const Real v (p(Dim-1));
375
376 std::unique_ptr<const Elem> base_el (inf_elem->build_side_ptr(0));
377
378 unsigned int i_base, i_radial;
379
380 if ((-1. > v ) || (v > 1.))
381 {
382 //TODO: This is for debugging. We should never come here.
383 // Therefore we can do very useless things then:
384 i_base=0;
385 }
386 compute_shape_indices(fe_t, inf_elem, i, i_base, i_radial);
387
388 if (j== Dim -1)
389 {
390 Real RadialDeriv = InfFE<Dim,T_radial,T_map>::eval_deriv(v, o_radial, i_radial)
391 * InfFERadial::decay(Dim,v)
392 + InfFE<Dim,T_radial,T_map>::eval(v, o_radial, i_radial)
393 * InfFERadial::decay_deriv(Dim,v);
394
395 return FEInterface::shape(fe_t, base_el.get(), i_base, p)*RadialDeriv;
396 }
397 return FEInterface::shape_deriv(fe_t, base_el.get(), i_base, j, p)
398 * InfFE<Dim,T_radial,T_map>::eval(v, o_radial, i_radial)
399 * InfFERadial::decay(Dim,v);
400}
libMesh::InfFE::_warned_for_dshape
static bool _warned_for_dshape
Definition inf_fe.h:1243

References libMesh::Elem::build_side_ptr(), libMesh::InfFERadial::decay(), libMesh::InfFERadial::decay_deriv(), libMesh::err, libMesh::InfFE< Dim, T_radial, T_map >::eval(), libMesh::InfFE< Dim, T_radial, T_map >::eval_deriv(), libMesh::INFINITE_MAP, libMesh::FEType::radial_order, libMesh::Real, libMesh::FEInterface::shape(), and libMesh::FEInterface::shape_deriv().

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::shape_deriv().

◆ shape_deriv() [2/3]

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
Real libMesh::InfFE< Dim, T_radial, T_map >::shape_deriv ( const FEType &  fet,
const ElemType  inf_elem_type,
const unsigned int  i,
const unsigned int  j,
const Point &  p 
)
static
Returns
The \( j^{th} \) derivative of the \( i^{th} \) shape function at point p. This method lets you specify the relevant data directly, and is therefore allowed to be static.
Note
This class member is not as efficient as its counterpart in FE<Dim,T>, and is not employed in the reinit() cycle.
This method does not return physically correct shape gradients, instead use compute_data(). The shape_deriv() methods should only be used for mapping.

Definition at line 307 of file inf_fe_static.C.

312{
313 libmesh_deprecated();
314
315 libmesh_assert_not_equal_to (Dim, 0);
316 libmesh_assert_greater (Dim,j);
317#ifdef DEBUG
318 // this makes only sense when used for mapping
319 if ((T_radial != INFINITE_MAP) && !_warned_for_dshape)
320 {
321 libMesh::err << "WARNING: InfFE<Dim,T_radial,T_map>::shape_deriv(...) does _not_" << std::endl
322 << " return the correct trial function gradients! Use " << std::endl
323 << " InfFE<Dim,T_radial,T_map>::compute_data(..) instead!"
324 << std::endl;
325 _warned_for_dshape = true;
326 }
327#endif
328
329 const ElemType base_et (InfFEBase::get_elem_type(inf_elem_type));
330 const Order o_radial (fe_t.radial_order);
331 const Real v (p(Dim-1));
332
333 unsigned int i_base, i_radial;
334 compute_shape_indices(fe_t, inf_elem_type, i, i_base, i_radial);
335
336 if (j== Dim -1)
337 {
338 Real RadialDeriv = InfFE<Dim,T_radial,T_map>::eval_deriv(v, o_radial, i_radial)
339 * InfFERadial::decay(Dim,v)
340 + InfFE<Dim,T_radial,T_map>::eval(v, o_radial, i_radial)
341 * InfFERadial::decay_deriv(Dim, v);
342
343 return FEInterface::shape(Dim-1, fe_t, base_et, i_base, p)*RadialDeriv;
344 }
345
346 return FEInterface::shape_deriv(Dim-1, fe_t, base_et, i_base, j, p)
347 * InfFE<Dim,T_radial,T_map>::eval(v, o_radial, i_radial)
348 * InfFERadial::decay(Dim,v);
349}

References libMesh::InfFERadial::decay(), libMesh::InfFERadial::decay_deriv(), libMesh::err, libMesh::InfFE< Dim, T_radial, T_map >::eval(), libMesh::InfFE< Dim, T_radial, T_map >::eval_deriv(), libMesh::InfFEBase::get_elem_type(), libMesh::INFINITE_MAP, libMesh::FEType::radial_order, libMesh::Real, libMesh::FEInterface::shape(), and libMesh::FEInterface::shape_deriv().

◆ shape_deriv() [3/3]

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
Real libMesh::InfFE< Dim, T_radial, T_map >::shape_deriv ( const FEType  fet,
const Elem *  inf_elem,
const unsigned int  i,
const unsigned int  j,
const Point &  p,
const bool  add_p_level 
)
static
Returns
The \( j^{th} \) derivative of the \( i^{th} \) shape function at point p. This method lets you specify the relevant data directly, and is therefore allowed to be static.
Note
This class member is not as efficient as its counterpart in FE<Dim,T>, and is not employed in the reinit() cycle.
This method does not return physically correct shape gradients, instead use compute_data(). The shape_deriv() methods should only be used for mapping.

Definition at line 588 of file inf_fe_static.C.

594{
595 if (add_p_level)
596 {
597 FEType tmp_fet=fet;
598 tmp_fet = fet.order + add_p_level * inf_elem->p_level();
599 return InfFE<Dim,T_radial,T_map>::shape_deriv(tmp_fet, inf_elem, i, j, p);
600 }
601 return InfFE<Dim,T_radial,T_map>::shape_deriv(fet, inf_elem, i, j, p);
602}
libMesh::InfFE::shape_deriv
static Real shape_deriv(const FEType &fet, const Elem *inf_elem, const unsigned int i, const unsigned int j, const Point &p)
Definition inf_fe_static.C:354

References libMesh::FEType::order, libMesh::Elem::p_level(), and libMesh::InfFE< Dim, T_radial, T_map >::shape_deriv().

◆ shapes_need_reinit()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
bool libMesh::InfFE< Dim, T_radial, T_map >::shapes_need_reinit ( ) const
overrideprivatevirtual
Returns
false, currently not required.

Implements libMesh::FEAbstract.

Definition at line 1121 of file inf_fe.C.

1122{
1123 // We never call this.
1124 libmesh_not_implemented();
1125 return false;
1126}

◆ side_map()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
virtual void libMesh::InfFE< Dim, T_radial, T_map >::side_map ( const Elem *  ,
const Elem *  ,
const unsigned int  ,
const std::vector< Point > &  ,
std::vector< Point > &   
)
inlineoverridevirtual

Computes the reference space quadrature points on the side of an element based on the side quadrature points.

Implements libMesh::FEAbstract.

Definition at line 526 of file inf_fe.h.

531 {
532 libmesh_not_implemented();
533 }

◆ update_base_elem()

template<unsigned int Dim, FEFamily T_radial, InfMapType T_base>
void libMesh::InfFE< Dim, T_radial, T_base >::update_base_elem ( const Elem *  inf_elem)
protected

Updates the protected member base_elem to the appropriate base element for the given inf_elem.

Definition at line 109 of file inf_fe.C.

110{
111 base_elem = InfFEBase::build_elem(inf_elem);
112}

References libMesh::InfFEBase::build_elem().

Friends And Related Symbol Documentation

◆ InfFE

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
template<unsigned int friend_Dim, FEFamily friend_T_radial, InfMapType friend_T_map>
friend class InfFE
friend

Make all InfFE<Dim,T_radial,T_map> classes friends of each other, so that the protected eval() may be accessed.

Definition at line 1253 of file inf_fe.h.

◆ InfFEMap

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
friend class InfFEMap
friend

Definition at line 1255 of file inf_fe.h.

Member Data Documentation

◆ _add_p_level_in_reinit

bool libMesh::FEAbstract::_add_p_level_in_reinit
protectedinherited

Whether to add p-refinement levels in init/reinit methods.

Definition at line 787 of file fe_abstract.h.

Referenced by libMesh::FEAbstract::add_p_level_in_reinit(), and libMesh::FEAbstract::add_p_level_in_reinit().

◆ _base_node_index

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<unsigned int> libMesh::InfFE< Dim, T_radial, T_map >::_base_node_index
protected

The internal structure of the InfFE – tensor product of base element times radial nodes – has to be determined from the node numbering of the current element.

This vector maps the infinite Elem node number to the associated node in the base element.

Definition at line 1145 of file inf_fe.h.

◆ _base_shape_index

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<unsigned int> libMesh::InfFE< Dim, T_radial, T_map >::_base_shape_index
protected

The internal structure of the InfFE – tensor product of base element shapes times radial shapes – has to be determined from the dof numbering scheme of the current infinite element.

This vector maps the infinite Elem dof index to the associated dof in the base FE.

Definition at line 1165 of file inf_fe.h.

◆ _compute_node_indices_fast_current_elem_type

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
ElemType libMesh::InfFE< Dim, T_radial, T_map >::_compute_node_indices_fast_current_elem_type = INVALID_ELEM
staticprivate

When compute_node_indices_fast() is used, this static variable remembers the element type for which the static variables in compute_node_indices_fast() are currently set.

Using a class member for the element type helps initializing it to a default value.

Definition at line 1233 of file inf_fe.h.

◆ _counts

ReferenceCounter::Counts libMesh::ReferenceCounter::_counts
staticprotectedinherited

Actually holds the data.

Definition at line 124 of file reference_counter.h.

Referenced by libMesh::ReferenceCounter::get_info().

◆ _elem

const Elem* libMesh::FEAbstract::_elem
protectedinherited

The element the current data structures were set up for.

Definition at line 740 of file fe_abstract.h.

Referenced by libMesh::FEAbstract::get_elem().

◆ _elem_p_level

unsigned int libMesh::FEAbstract::_elem_p_level
protectedinherited

The element p-refinement level the current data structures are set up for.

Note that this is different from _p_level which is the p-refinement level this finite elment object is operating at, e.g. how many dofs per elem, etc. On the other hand, this data member can indicate things like the order of the quadrature rule. We will use this primarily to determine whether cached data is still valid

Definition at line 751 of file fe_abstract.h.

◆ _elem_type

ElemType libMesh::FEAbstract::_elem_type
protectedinherited

The element type the current data structures were set up for.

Definition at line 735 of file fe_abstract.h.

Referenced by libMesh::FEAbstract::get_type().

◆ _enable_print_counter

bool libMesh::ReferenceCounter::_enable_print_counter = true
staticprotectedinherited

Flag to control whether reference count information is printed when print_info is called.

Definition at line 143 of file reference_counter.h.

Referenced by libMesh::ReferenceCounter::disable_print_counter_info(), libMesh::ReferenceCounter::enable_print_counter_info(), and libMesh::ReferenceCounter::print_info().

◆ _fe_map

std::unique_ptr<FEMap> libMesh::FEAbstract::_fe_map
protectedinherited

Definition at line 654 of file fe_abstract.h.

Referenced by libMesh::FEAbstract::get_curvatures(), libMesh::FEAbstract::get_d2xyzdeta2(), libMesh::FEAbstract::get_d2xyzdetadzeta(), libMesh::FEAbstract::get_d2xyzdxi2(), libMesh::FEAbstract::get_d2xyzdxideta(), libMesh::FEAbstract::get_d2xyzdxidzeta(), libMesh::FEAbstract::get_d2xyzdzeta2(), libMesh::FEAbstract::get_detadx(), libMesh::FEAbstract::get_detady(), libMesh::FEAbstract::get_detadz(), libMesh::FEAbstract::get_dxidx(), libMesh::FEAbstract::get_dxidy(), libMesh::FEAbstract::get_dxidz(), libMesh::FEAbstract::get_dxyzdeta(), libMesh::FEAbstract::get_dxyzdxi(), libMesh::FEAbstract::get_dxyzdzeta(), libMesh::FEAbstract::get_dzetadx(), libMesh::FEAbstract::get_dzetady(), libMesh::FEAbstract::get_dzetadz(), libMesh::FEAbstract::get_fe_map(), libMesh::FEAbstract::get_fe_map(), libMesh::FEAbstract::get_JxW(), libMesh::FEAbstract::get_normals(), libMesh::FEAbstract::get_tangents(), libMesh::FEAbstract::get_xyz(), libMesh::FEAbstract::print_JxW(), and libMesh::FEAbstract::print_xyz().

◆ _fe_trans

template<typename OutputType >
std::unique_ptr<FETransformationBase<OutputType> > libMesh::FEGenericBase< OutputType >::_fe_trans
protectedinherited

Object that handles computing shape function values, gradients, etc in the physical domain.

Definition at line 609 of file fe_base.h.

◆ _mutex

Threads::spin_mutex libMesh::ReferenceCounter::_mutex
staticprotectedinherited

Mutual exclusion object to enable thread-safe reference counting.

Definition at line 137 of file reference_counter.h.

◆ _n_objects

Threads::atomic< unsigned int > libMesh::ReferenceCounter::_n_objects
staticprotectedinherited

The number of objects.

Print the reference count information when the number returns to 0.

Definition at line 132 of file reference_counter.h.

Referenced by libMesh::ReferenceCounter::n_objects(), libMesh::ReferenceCounter::ReferenceCounter(), libMesh::ReferenceCounter::ReferenceCounter(), libMesh::ReferenceCounter::ReferenceCounter(), and libMesh::ReferenceCounter::~ReferenceCounter().

◆ _n_total_approx_sf

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
unsigned int libMesh::InfFE< Dim, T_radial, T_map >::_n_total_approx_sf
protected

The number of total approximation shape functions for the current configuration.

Definition at line 1173 of file inf_fe.h.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::n_shape_functions().

◆ _n_total_qp

unsigned int libMesh::FEAbstract::_n_total_qp
protectedinherited

The total number of quadrature points for the current configuration.

Definition at line 774 of file fe_abstract.h.

Referenced by libMesh::FEAbstract::n_quadrature_points(), and libMesh::InfFE< Dim, T_radial, T_map >::n_quadrature_points().

◆ _p_level

unsigned int libMesh::FEAbstract::_p_level
protectedinherited

The p refinement level the current data structures are set up for.

Definition at line 757 of file fe_abstract.h.

Referenced by libMesh::FEAbstract::get_order(), and libMesh::FEAbstract::get_p_level().

◆ _radial_node_index

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<unsigned int> libMesh::InfFE< Dim, T_radial, T_map >::_radial_node_index
protected

The internal structure of the InfFE – tensor product of base element times radial nodes – has to be determined from the node numbering of the current infinite element.

This vector maps the infinite Elem node number to the radial node (either 0 or 1).

Definition at line 1135 of file inf_fe.h.

◆ _radial_shape_index

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<unsigned int> libMesh::InfFE< Dim, T_radial, T_map >::_radial_shape_index
protected

The internal structure of the InfFE – tensor product of base element shapes times radial shapes – has to be determined from the dof numbering scheme of the current infinite element.

This vector maps the infinite Elem dof index to the radial InfFE shape index (0..radial_order+1 ).

Definition at line 1155 of file inf_fe.h.

◆ _total_qrule_weights

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<Real> libMesh::InfFE< Dim, T_radial, T_map >::_total_qrule_weights
protected

this vector contains the combined integration weights, so that FEAbstract::compute_map() can still be used

Definition at line 1179 of file inf_fe.h.

◆ _warned_for_dshape

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
bool libMesh::InfFE< Dim, T_radial, T_map >::_warned_for_dshape = false
staticprivate

Definition at line 1243 of file inf_fe.h.

◆ _warned_for_nodal_soln

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
bool libMesh::InfFE< Dim, T_radial, T_map >::_warned_for_nodal_soln = false
staticprivate

static members that are used to issue warning messages only once.

Definition at line 1241 of file inf_fe.h.

◆ _warned_for_shape

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
bool libMesh::InfFE< Dim, T_radial, T_map >::_warned_for_shape = false
staticprivate

Definition at line 1242 of file inf_fe.h.

◆ base_elem

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::unique_ptr<const Elem> libMesh::InfFE< Dim, T_radial, T_map >::base_elem
protected

The "base" (aka non-infinite) element associated with the current infinite element.

We treat is as const since the InfFE should not have to modify the geometric Elem in order to do its calculations.

Definition at line 1198 of file inf_fe.h.

◆ base_fe

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::unique_ptr<FEBase> libMesh::InfFE< Dim, T_radial, T_map >::base_fe
protected

Have a FE<Dim-1,T_base> handy for base approximation.

Since this one is created using the FEBase::build() method, the InfFE class is not required to be templated w.r.t. to the base approximation shape.

Definition at line 1206 of file inf_fe.h.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::InfFE().

◆ base_qrule

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::unique_ptr<QBase> libMesh::InfFE< Dim, T_radial, T_map >::base_qrule
protected

The quadrature rule for the base element associated with the current infinite element.

Definition at line 1185 of file inf_fe.h.

◆ calculate_curl_phi

bool libMesh::FEAbstract::calculate_curl_phi
mutableprotectedinherited

Should we calculate shape function curls?

Definition at line 712 of file fe_abstract.h.

Referenced by libMesh::FEGenericBase< OutputType >::calculating_nothing(), and libMesh::FEGenericBase< OutputType >::get_curl_phi().

◆ calculate_d2phi [1/2]

bool libMesh::FEAbstract::calculate_d2phi
mutableprotectedinherited

Should we calculate shape function hessians?

Definition at line 702 of file fe_abstract.h.

Referenced by libMesh::FEGenericBase< OutputType >::calculating_nothing(), libMesh::FEGenericBase< OutputType >::get_d2phi(), libMesh::FEGenericBase< OutputType >::get_d2phideta2(), libMesh::FEGenericBase< OutputType >::get_d2phidetadzeta(), libMesh::FEGenericBase< OutputType >::get_d2phidx2(), libMesh::FEGenericBase< OutputType >::get_d2phidxdy(), libMesh::FEGenericBase< OutputType >::get_d2phidxdz(), libMesh::FEGenericBase< OutputType >::get_d2phidxi2(), libMesh::FEGenericBase< OutputType >::get_d2phidxideta(), libMesh::FEGenericBase< OutputType >::get_d2phidxidzeta(), libMesh::FEGenericBase< OutputType >::get_d2phidy2(), libMesh::FEGenericBase< OutputType >::get_d2phidydz(), libMesh::FEGenericBase< OutputType >::get_d2phidz2(), libMesh::FEGenericBase< OutputType >::get_d2phidzeta2(), and libMesh::FEGenericBase< OutputType >::get_dual_d2phi().

◆ calculate_d2phi [2/2]

const bool libMesh::FEAbstract::calculate_d2phi =false
protectedinherited

Definition at line 705 of file fe_abstract.h.

◆ calculate_default_dual_coeff

bool libMesh::FEAbstract::calculate_default_dual_coeff
mutableprotectedinherited

Are we calculating the coefficient for the dual basis using the default qrule?

Definition at line 676 of file fe_abstract.h.

Referenced by libMesh::FEAbstract::set_calculate_default_dual_coeff().

◆ calculate_div_phi

bool libMesh::FEAbstract::calculate_div_phi
mutableprotectedinherited

Should we calculate shape function divergences?

Definition at line 717 of file fe_abstract.h.

Referenced by libMesh::FEGenericBase< OutputType >::calculating_nothing(), and libMesh::FEGenericBase< OutputType >::get_div_phi().

◆ calculate_dphi

bool libMesh::FEAbstract::calculate_dphi
mutableprotectedinherited

Should we calculate shape function gradients?

Definition at line 696 of file fe_abstract.h.

Referenced by libMesh::FEGenericBase< OutputType >::calculating_nothing(), libMesh::FEGenericBase< OutputType >::get_dphi(), libMesh::FEGenericBase< OutputType >::get_dphidx(), libMesh::FEGenericBase< OutputType >::get_dphidy(), libMesh::FEGenericBase< OutputType >::get_dphidz(), libMesh::FEGenericBase< OutputType >::get_dual_dphi(), and libMesh::InfFE< Dim, T_radial, T_map >::get_Sobolev_dweight().

◆ calculate_dphi_scaled

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
bool libMesh::InfFE< Dim, T_radial, T_map >::calculate_dphi_scaled
mutableprotected

Are we calculating scaled shape function gradients?

Definition at line 977 of file inf_fe.h.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::get_dphi_over_decay(), libMesh::InfFE< Dim, T_radial, T_map >::get_dphi_over_decayxR(), and libMesh::InfFE< Dim, T_radial, T_map >::get_Sobolev_dweightxR_sq().

◆ calculate_dphiref

bool libMesh::FEAbstract::calculate_dphiref
mutableprotectedinherited

Should we calculate reference shape function gradients?

Definition at line 722 of file fe_abstract.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_curl_phi(), libMesh::FEGenericBase< OutputType >::get_d2phi(), libMesh::FEGenericBase< OutputType >::get_d2phideta2(), libMesh::FEGenericBase< OutputType >::get_d2phidetadzeta(), libMesh::FEGenericBase< OutputType >::get_d2phidx2(), libMesh::FEGenericBase< OutputType >::get_d2phidxdy(), libMesh::FEGenericBase< OutputType >::get_d2phidxdz(), libMesh::FEGenericBase< OutputType >::get_d2phidxi2(), libMesh::FEGenericBase< OutputType >::get_d2phidxideta(), libMesh::FEGenericBase< OutputType >::get_d2phidxidzeta(), libMesh::FEGenericBase< OutputType >::get_d2phidy2(), libMesh::FEGenericBase< OutputType >::get_d2phidydz(), libMesh::FEGenericBase< OutputType >::get_d2phidz2(), libMesh::FEGenericBase< OutputType >::get_d2phidzeta2(), libMesh::FEGenericBase< OutputType >::get_div_phi(), libMesh::FEGenericBase< OutputType >::get_dphi(), libMesh::FEGenericBase< OutputType >::get_dphideta(), libMesh::FEGenericBase< OutputType >::get_dphidx(), libMesh::FEGenericBase< OutputType >::get_dphidxi(), libMesh::FEGenericBase< OutputType >::get_dphidy(), libMesh::FEGenericBase< OutputType >::get_dphidz(), libMesh::FEGenericBase< OutputType >::get_dphidzeta(), libMesh::FEGenericBase< OutputType >::get_dual_d2phi(), and libMesh::FEGenericBase< OutputType >::get_dual_dphi().

◆ calculate_dual

bool libMesh::FEAbstract::calculate_dual
mutableprotectedinherited

Are we calculating dual basis?

Definition at line 671 of file fe_abstract.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_dual_d2phi(), libMesh::FEGenericBase< OutputType >::get_dual_dphi(), libMesh::FEGenericBase< OutputType >::get_dual_phi(), and libMesh::FEAbstract::set_calculate_dual().

◆ calculate_jxw

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
bool libMesh::InfFE< Dim, T_radial, T_map >::calculate_jxw
mutableprotected

Are we calculating the unscaled jacobian? We avoid it if not requested explicitly; this has the worst stability.

Definition at line 990 of file inf_fe.h.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::get_JxW().

◆ calculate_map

bool libMesh::FEAbstract::calculate_map
mutableprotectedinherited

Are we calculating mapping functions?

Definition at line 686 of file fe_abstract.h.

Referenced by libMesh::FEGenericBase< OutputType >::calculating_nothing(), libMesh::FEAbstract::get_curvatures(), libMesh::InfFE< Dim, T_radial, T_map >::get_curvatures(), libMesh::FEAbstract::get_d2xyzdeta2(), libMesh::InfFE< Dim, T_radial, T_map >::get_d2xyzdeta2(), libMesh::FEAbstract::get_d2xyzdetadzeta(), libMesh::InfFE< Dim, T_radial, T_map >::get_d2xyzdetadzeta(), libMesh::FEAbstract::get_d2xyzdxi2(), libMesh::InfFE< Dim, T_radial, T_map >::get_d2xyzdxi2(), libMesh::FEAbstract::get_d2xyzdxideta(), libMesh::InfFE< Dim, T_radial, T_map >::get_d2xyzdxideta(), libMesh::FEAbstract::get_d2xyzdxidzeta(), libMesh::InfFE< Dim, T_radial, T_map >::get_d2xyzdxidzeta(), libMesh::FEAbstract::get_d2xyzdzeta2(), libMesh::InfFE< Dim, T_radial, T_map >::get_d2xyzdzeta2(), libMesh::FEAbstract::get_detadx(), libMesh::InfFE< Dim, T_radial, T_map >::get_detadx(), libMesh::FEAbstract::get_detady(), libMesh::InfFE< Dim, T_radial, T_map >::get_detady(), libMesh::FEAbstract::get_detadz(), libMesh::InfFE< Dim, T_radial, T_map >::get_detadz(), libMesh::FEAbstract::get_dxidx(), libMesh::InfFE< Dim, T_radial, T_map >::get_dxidx(), libMesh::FEAbstract::get_dxidy(), libMesh::InfFE< Dim, T_radial, T_map >::get_dxidy(), libMesh::FEAbstract::get_dxidz(), libMesh::InfFE< Dim, T_radial, T_map >::get_dxidz(), libMesh::FEAbstract::get_dxyzdeta(), libMesh::InfFE< Dim, T_radial, T_map >::get_dxyzdeta(), libMesh::FEAbstract::get_dxyzdxi(), libMesh::InfFE< Dim, T_radial, T_map >::get_dxyzdxi(), libMesh::InfFE< Dim, T_radial, T_map >::get_dxyzdzeta(), libMesh::FEAbstract::get_dzetadx(), libMesh::InfFE< Dim, T_radial, T_map >::get_dzetadx(), libMesh::FEAbstract::get_dzetady(), libMesh::InfFE< Dim, T_radial, T_map >::get_dzetady(), libMesh::FEAbstract::get_dzetadz(), libMesh::InfFE< Dim, T_radial, T_map >::get_dzetadz(), libMesh::FEAbstract::get_JxW(), libMesh::FEAbstract::get_normals(), libMesh::InfFE< Dim, T_radial, T_map >::get_normals(), libMesh::FEAbstract::get_tangents(), libMesh::InfFE< Dim, T_radial, T_map >::get_tangents(), and libMesh::FEAbstract::get_xyz().

◆ calculate_map_scaled

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
bool libMesh::InfFE< Dim, T_radial, T_map >::calculate_map_scaled
mutableprotected

Are we calculating scaled mapping functions?

Definition at line 967 of file inf_fe.h.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::get_JxWxdecay_sq().

◆ calculate_nothing

bool libMesh::FEAbstract::calculate_nothing
mutableprotectedinherited

Are we potentially deliberately calculating nothing?

Definition at line 681 of file fe_abstract.h.

Referenced by libMesh::FEGenericBase< OutputType >::calculating_nothing(), and libMesh::FEAbstract::get_nothing().

◆ calculate_phi

bool libMesh::FEAbstract::calculate_phi
mutableprotectedinherited

Should we calculate shape functions?

Definition at line 691 of file fe_abstract.h.

Referenced by libMesh::FEGenericBase< OutputType >::calculating_nothing(), libMesh::FEGenericBase< OutputType >::get_phi(), and libMesh::InfFE< Dim, T_radial, T_map >::get_Sobolev_weight().

◆ calculate_phi_scaled

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
bool libMesh::InfFE< Dim, T_radial, T_map >::calculate_phi_scaled
mutableprotected

Are we calculating scaled shape functions?

Definition at line 972 of file inf_fe.h.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::get_phi_over_decayxR(), and libMesh::InfFE< Dim, T_radial, T_map >::get_Sobolev_weightxR_sq().

◆ calculate_xyz

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
bool libMesh::InfFE< Dim, T_radial, T_map >::calculate_xyz
mutableprotected

Are we calculating the positions of quadrature points?

Definition at line 983 of file inf_fe.h.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::get_xyz().

◆ calculations_started

bool libMesh::FEAbstract::calculations_started
mutableprotectedinherited

Have calculations with this object already been started? Then all get_* functions should already have been called.

Definition at line 666 of file fe_abstract.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_curl_phi(), libMesh::FEGenericBase< OutputType >::get_d2phi(), libMesh::FEGenericBase< OutputType >::get_d2phideta2(), libMesh::FEGenericBase< OutputType >::get_d2phidetadzeta(), libMesh::FEGenericBase< OutputType >::get_d2phidx2(), libMesh::FEGenericBase< OutputType >::get_d2phidxdy(), libMesh::FEGenericBase< OutputType >::get_d2phidxdz(), libMesh::FEGenericBase< OutputType >::get_d2phidxi2(), libMesh::FEGenericBase< OutputType >::get_d2phidxideta(), libMesh::FEGenericBase< OutputType >::get_d2phidxidzeta(), libMesh::FEGenericBase< OutputType >::get_d2phidy2(), libMesh::FEGenericBase< OutputType >::get_d2phidydz(), libMesh::FEGenericBase< OutputType >::get_d2phidz2(), libMesh::FEGenericBase< OutputType >::get_d2phidzeta2(), libMesh::InfFE< Dim, T_radial, T_map >::get_detadx(), libMesh::InfFE< Dim, T_radial, T_map >::get_detady(), libMesh::InfFE< Dim, T_radial, T_map >::get_detadz(), libMesh::FEGenericBase< OutputType >::get_div_phi(), libMesh::FEGenericBase< OutputType >::get_dphi(), libMesh::InfFE< Dim, T_radial, T_map >::get_dphi_over_decay(), libMesh::InfFE< Dim, T_radial, T_map >::get_dphi_over_decayxR(), libMesh::FEGenericBase< OutputType >::get_dphideta(), libMesh::FEGenericBase< OutputType >::get_dphidx(), libMesh::FEGenericBase< OutputType >::get_dphidxi(), libMesh::FEGenericBase< OutputType >::get_dphidy(), libMesh::FEGenericBase< OutputType >::get_dphidz(), libMesh::FEGenericBase< OutputType >::get_dphidzeta(), libMesh::FEGenericBase< OutputType >::get_dual_d2phi(), libMesh::FEGenericBase< OutputType >::get_dual_dphi(), libMesh::FEGenericBase< OutputType >::get_dual_phi(), libMesh::InfFE< Dim, T_radial, T_map >::get_dxidx(), libMesh::InfFE< Dim, T_radial, T_map >::get_dxidy(), libMesh::InfFE< Dim, T_radial, T_map >::get_dxidz(), libMesh::InfFE< Dim, T_radial, T_map >::get_dzetadx(), libMesh::InfFE< Dim, T_radial, T_map >::get_dzetady(), libMesh::InfFE< Dim, T_radial, T_map >::get_dzetadz(), libMesh::InfFE< Dim, T_radial, T_map >::get_JxW(), libMesh::InfFE< Dim, T_radial, T_map >::get_JxWxdecay_sq(), libMesh::InfFE< Dim, T_radial, T_map >::get_normals(), libMesh::FEGenericBase< OutputType >::get_phi(), libMesh::InfFE< Dim, T_radial, T_map >::get_phi_over_decayxR(), libMesh::InfFE< Dim, T_radial, T_map >::get_Sobolev_dweight(), libMesh::InfFE< Dim, T_radial, T_map >::get_Sobolev_dweightxR_sq(), libMesh::InfFE< Dim, T_radial, T_map >::get_Sobolev_weight(), libMesh::InfFE< Dim, T_radial, T_map >::get_Sobolev_weightxR_sq(), libMesh::InfFE< Dim, T_radial, T_map >::get_tangents(), and libMesh::InfFE< Dim, T_radial, T_map >::get_xyz().

◆ curl_phi

template<typename OutputType >
std::vector<std::vector<OutputShape> > libMesh::FEGenericBase< OutputType >::curl_phi
protectedinherited

Shape function curl values.

Only defined for vector types.

Definition at line 631 of file fe_base.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_curl_phi().

◆ current_fe_type

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
FEType libMesh::InfFE< Dim, T_radial, T_map >::current_fe_type
protected

This FEType stores the characteristics for which the data structures phi, phi_map etc are currently initialized.

This avoids re-initializing the radial part.

Note
Currently only order may change, both the FE families and base_order must remain constant.

Definition at line 1216 of file inf_fe.h.

◆ d2phi

template<typename OutputType >
std::vector<std::vector<OutputTensor> > libMesh::FEGenericBase< OutputType >::d2phi
protectedinherited

Shape function second derivative values.

Definition at line 674 of file fe_base.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_d2phi().

◆ d2phideta2

template<typename OutputType >
std::vector<std::vector<OutputShape> > libMesh::FEGenericBase< OutputType >::d2phideta2
protectedinherited

Shape function second derivatives in the eta direction.

Definition at line 695 of file fe_base.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_d2phideta2().

◆ d2phidetadzeta

template<typename OutputType >
std::vector<std::vector<OutputShape> > libMesh::FEGenericBase< OutputType >::d2phidetadzeta
protectedinherited

Shape function second derivatives in the eta-zeta direction.

Definition at line 700 of file fe_base.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_d2phidetadzeta().

◆ d2phidx2

template<typename OutputType >
std::vector<std::vector<OutputShape> > libMesh::FEGenericBase< OutputType >::d2phidx2
protectedinherited

Shape function second derivatives in the x direction.

Definition at line 710 of file fe_base.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_d2phidx2().

◆ d2phidxdy

template<typename OutputType >
std::vector<std::vector<OutputShape> > libMesh::FEGenericBase< OutputType >::d2phidxdy
protectedinherited

Shape function second derivatives in the x-y direction.

Definition at line 715 of file fe_base.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_d2phidxdy().

◆ d2phidxdz

template<typename OutputType >
std::vector<std::vector<OutputShape> > libMesh::FEGenericBase< OutputType >::d2phidxdz
protectedinherited

Shape function second derivatives in the x-z direction.

Definition at line 720 of file fe_base.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_d2phidxdz().

◆ d2phidxi2

template<typename OutputType >
std::vector<std::vector<OutputShape> > libMesh::FEGenericBase< OutputType >::d2phidxi2
protectedinherited

Shape function second derivatives in the xi direction.

Definition at line 680 of file fe_base.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_d2phidxi2().

◆ d2phidxideta

template<typename OutputType >
std::vector<std::vector<OutputShape> > libMesh::FEGenericBase< OutputType >::d2phidxideta
protectedinherited

Shape function second derivatives in the xi-eta direction.

Definition at line 685 of file fe_base.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_d2phidxideta().

◆ d2phidxidzeta

template<typename OutputType >
std::vector<std::vector<OutputShape> > libMesh::FEGenericBase< OutputType >::d2phidxidzeta
protectedinherited

Shape function second derivatives in the xi-zeta direction.

Definition at line 690 of file fe_base.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_d2phidxidzeta().

◆ d2phidy2

template<typename OutputType >
std::vector<std::vector<OutputShape> > libMesh::FEGenericBase< OutputType >::d2phidy2
protectedinherited

Shape function second derivatives in the y direction.

Definition at line 725 of file fe_base.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_d2phidy2().

◆ d2phidydz

template<typename OutputType >
std::vector<std::vector<OutputShape> > libMesh::FEGenericBase< OutputType >::d2phidydz
protectedinherited

Shape function second derivatives in the y-z direction.

Definition at line 730 of file fe_base.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_d2phidydz().

◆ d2phidz2

template<typename OutputType >
std::vector<std::vector<OutputShape> > libMesh::FEGenericBase< OutputType >::d2phidz2
protectedinherited

Shape function second derivatives in the z direction.

Definition at line 735 of file fe_base.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_d2phidz2().

◆ d2phidzeta2

template<typename OutputType >
std::vector<std::vector<OutputShape> > libMesh::FEGenericBase< OutputType >::d2phidzeta2
protectedinherited

Shape function second derivatives in the zeta direction.

Definition at line 705 of file fe_base.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_d2phidzeta2().

◆ detadx_map

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<Real> libMesh::InfFE< Dim, T_radial, T_map >::detadx_map
protected

Definition at line 1092 of file inf_fe.h.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::get_detadx().

◆ detadx_map_scaled

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<Real> libMesh::InfFE< Dim, T_radial, T_map >::detadx_map_scaled
protected

Definition at line 1104 of file inf_fe.h.

◆ detady_map

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<Real> libMesh::InfFE< Dim, T_radial, T_map >::detady_map
protected

Definition at line 1093 of file inf_fe.h.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::get_detady().

◆ detady_map_scaled

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<Real> libMesh::InfFE< Dim, T_radial, T_map >::detady_map_scaled
protected

Definition at line 1105 of file inf_fe.h.

◆ detadz_map

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<Real> libMesh::InfFE< Dim, T_radial, T_map >::detadz_map
protected

Definition at line 1094 of file inf_fe.h.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::get_detadz().

◆ detadz_map_scaled

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<Real> libMesh::InfFE< Dim, T_radial, T_map >::detadz_map_scaled
protected

Definition at line 1106 of file inf_fe.h.

◆ dim

const unsigned int libMesh::FEAbstract::dim
protectedinherited

The dimensionality of the object.

Definition at line 660 of file fe_abstract.h.

Referenced by libMesh::FEAbstract::build(), and libMesh::FEAbstract::get_dim().

◆ div_phi

template<typename OutputType >
std::vector<std::vector<OutputDivergence> > libMesh::FEGenericBase< OutputType >::div_phi
protectedinherited

Shape function divergence values.

Only defined for vector types.

Definition at line 636 of file fe_base.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_div_phi().

◆ dmodedv

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<std::vector<Real> > libMesh::InfFE< Dim, T_radial, T_map >::dmodedv
protected

the first local derivative of the radial approximation shapes.

Needed when setting up the overall shape functions.

Definition at line 1083 of file inf_fe.h.

◆ dphase

template<typename OutputType >
std::vector<OutputGradient> libMesh::FEGenericBase< OutputType >::dphase
protectedinherited

Used for certain infinite element families: the first derivatives of the phase term in global coordinates, over all quadrature points.

Definition at line 753 of file fe_base.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_dphase().

◆ dphi

template<typename OutputType >
std::vector<std::vector<OutputGradient> > libMesh::FEGenericBase< OutputType >::dphi
protectedinherited

Shape function derivative values.

Definition at line 620 of file fe_base.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_dphi().

◆ dphideta

template<typename OutputType >
std::vector<std::vector<OutputShape> > libMesh::FEGenericBase< OutputType >::dphideta
protectedinherited

Shape function derivatives in the eta direction.

Definition at line 646 of file fe_base.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_dphideta().

◆ dphidx

template<typename OutputType >
std::vector<std::vector<OutputShape> > libMesh::FEGenericBase< OutputType >::dphidx
protectedinherited

Shape function derivatives in the x direction.

Definition at line 656 of file fe_base.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_dphidx().

◆ dphidxi

template<typename OutputType >
std::vector<std::vector<OutputShape> > libMesh::FEGenericBase< OutputType >::dphidxi
protectedinherited

Shape function derivatives in the xi direction.

Definition at line 641 of file fe_base.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_dphidxi().

◆ dphidy

template<typename OutputType >
std::vector<std::vector<OutputShape> > libMesh::FEGenericBase< OutputType >::dphidy
protectedinherited

Shape function derivatives in the y direction.

Definition at line 661 of file fe_base.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_dphidy().

◆ dphidz

template<typename OutputType >
std::vector<std::vector<OutputShape> > libMesh::FEGenericBase< OutputType >::dphidz
protectedinherited

Shape function derivatives in the z direction.

Definition at line 666 of file fe_base.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_dphidz().

◆ dphidzeta

template<typename OutputType >
std::vector<std::vector<OutputShape> > libMesh::FEGenericBase< OutputType >::dphidzeta
protectedinherited

Shape function derivatives in the zeta direction.

Definition at line 651 of file fe_base.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_dphidzeta().

◆ dphixr

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<std::vector<RealGradient> > libMesh::InfFE< Dim, T_radial, T_map >::dphixr
protected

Definition at line 1116 of file inf_fe.h.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::get_dphi_over_decayxR().

◆ dphixr_sq

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<std::vector<RealGradient> > libMesh::InfFE< Dim, T_radial, T_map >::dphixr_sq
protected

Definition at line 1117 of file inf_fe.h.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::get_dphi_over_decay().

◆ dsomdv

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<Real> libMesh::InfFE< Dim, T_radial, T_map >::dsomdv
protected

the first local derivative of the radial decay \( 1/r \) in local coordinates.

Needed when setting up the overall shape functions.

Definition at line 1071 of file inf_fe.h.

◆ dual_coeff

template<typename OutputType >
DenseMatrix<Real> libMesh::FEGenericBase< OutputType >::dual_coeff
mutableprotectedinherited

Coefficient matrix for the dual basis.

Definition at line 626 of file fe_base.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_dual_coeff().

◆ dual_d2phi

template<typename OutputType >
std::vector<std::vector<OutputTensor> > libMesh::FEGenericBase< OutputType >::dual_d2phi
protectedinherited

Definition at line 675 of file fe_base.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_dual_d2phi().

◆ dual_dphi

template<typename OutputType >
std::vector<std::vector<OutputGradient> > libMesh::FEGenericBase< OutputType >::dual_dphi
protectedinherited

Definition at line 621 of file fe_base.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_dual_dphi().

◆ dual_phi

template<typename OutputType >
std::vector<std::vector<OutputShape> > libMesh::FEGenericBase< OutputType >::dual_phi
protectedinherited

Definition at line 615 of file fe_base.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_dual_phi().

◆ dweight

template<typename OutputType >
std::vector<RealGradient> libMesh::FEGenericBase< OutputType >::dweight
protectedinherited

Used for certain infinite element families: the global derivative of the additional radial weight \( 1/{r^2} \), over all quadrature points.

Definition at line 760 of file fe_base.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_Sobolev_dweight(), libMesh::InfFE< Dim, T_radial, T_map >::get_Sobolev_dweight(), and libMesh::FEGenericBase< OutputType >::get_Sobolev_dweightxR_sq().

◆ dweightdv

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<Real> libMesh::InfFE< Dim, T_radial, T_map >::dweightdv
protected

the additional radial weight \( 1/{r^2} \) in local coordinates, over all quadrature points.

The weight does not vary in base direction. However, for uniform access to the data fields from the outside, this data field is expanded to all quadrature points.

Definition at line 1055 of file inf_fe.h.

◆ dweightxr_sq

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<RealGradient> libMesh::InfFE< Dim, T_radial, T_map >::dweightxr_sq
protected

Definition at line 1057 of file inf_fe.h.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::get_Sobolev_dweightxR_sq().

◆ dxidx_map

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<Real> libMesh::InfFE< Dim, T_radial, T_map >::dxidx_map
protected

Definition at line 1089 of file inf_fe.h.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::get_dxidx().

◆ dxidx_map_scaled

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<Real> libMesh::InfFE< Dim, T_radial, T_map >::dxidx_map_scaled
protected

Definition at line 1101 of file inf_fe.h.

◆ dxidy_map

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<Real> libMesh::InfFE< Dim, T_radial, T_map >::dxidy_map
protected

Definition at line 1090 of file inf_fe.h.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::get_dxidy().

◆ dxidy_map_scaled

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<Real> libMesh::InfFE< Dim, T_radial, T_map >::dxidy_map_scaled
protected

Definition at line 1102 of file inf_fe.h.

◆ dxidz_map

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<Real> libMesh::InfFE< Dim, T_radial, T_map >::dxidz_map
protected

Definition at line 1091 of file inf_fe.h.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::get_dxidz().

◆ dxidz_map_scaled

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<Real> libMesh::InfFE< Dim, T_radial, T_map >::dxidz_map_scaled
protected

Definition at line 1103 of file inf_fe.h.

◆ dzetadx_map

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<Real> libMesh::InfFE< Dim, T_radial, T_map >::dzetadx_map
protected

Definition at line 1095 of file inf_fe.h.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::get_dzetadx().

◆ dzetadx_map_scaled

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<Real> libMesh::InfFE< Dim, T_radial, T_map >::dzetadx_map_scaled
protected

Definition at line 1107 of file inf_fe.h.

◆ dzetady_map

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<Real> libMesh::InfFE< Dim, T_radial, T_map >::dzetady_map
protected

Definition at line 1096 of file inf_fe.h.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::get_dzetady().

◆ dzetady_map_scaled

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<Real> libMesh::InfFE< Dim, T_radial, T_map >::dzetady_map_scaled
protected

Definition at line 1108 of file inf_fe.h.

◆ dzetadz_map

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<Real> libMesh::InfFE< Dim, T_radial, T_map >::dzetadz_map
protected

Definition at line 1097 of file inf_fe.h.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::get_dzetadz().

◆ dzetadz_map_scaled

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<Real> libMesh::InfFE< Dim, T_radial, T_map >::dzetadz_map_scaled
protected

Definition at line 1109 of file inf_fe.h.

◆ fe_type

FEType libMesh::FEAbstract::fe_type
protectedinherited

The finite element type for this object.

Note
This should be constant for the object.

Definition at line 730 of file fe_abstract.h.

Referenced by libMesh::FEAbstract::compute_node_constraints(), libMesh::FEAbstract::compute_periodic_node_constraints(), libMesh::FEAbstract::get_family(), libMesh::FEAbstract::get_fe_type(), libMesh::FEAbstract::get_order(), libMesh::InfFE< Dim, T_radial, T_map >::InfFE(), and libMesh::FEAbstract::set_fe_order().

◆ JxW

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<Real> libMesh::InfFE< Dim, T_radial, T_map >::JxW
protected

Definition at line 1120 of file inf_fe.h.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::get_JxW().

◆ JxWxdecay

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<Real> libMesh::InfFE< Dim, T_radial, T_map >::JxWxdecay
protected

Definition at line 1119 of file inf_fe.h.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::get_JxWxdecay_sq().

◆ mode

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<std::vector<Real> > libMesh::InfFE< Dim, T_radial, T_map >::mode
protected

the radial approximation shapes in local coordinates Needed when setting up the overall shape functions.

Definition at line 1077 of file inf_fe.h.

◆ normals

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<Point> libMesh::InfFE< Dim, T_radial, T_map >::normals
protected

Definition at line 1122 of file inf_fe.h.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::get_normals().

◆ phi

template<typename OutputType >
std::vector<std::vector<OutputShape> > libMesh::FEGenericBase< OutputType >::phi
protectedinherited

Shape function values.

Definition at line 614 of file fe_base.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_phi().

◆ phixr

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<std::vector<Real> > libMesh::InfFE< Dim, T_radial, T_map >::phixr
protected

Definition at line 1115 of file inf_fe.h.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::get_phi_over_decayxR().

◆ qrule

QBase* libMesh::FEAbstract::qrule
protectedinherited

A pointer to the quadrature rule employed.

Definition at line 762 of file fe_abstract.h.

Referenced by libMesh::FEAbstract::n_quadrature_points().

◆ radial_qrule

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::unique_ptr<QBase> libMesh::InfFE< Dim, T_radial, T_map >::radial_qrule
protected

The quadrature rule for the base element associated with the current infinite element.

Definition at line 1191 of file inf_fe.h.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::n_quadrature_points().

◆ shapes_on_quadrature

bool libMesh::FEAbstract::shapes_on_quadrature
protectedinherited

A flag indicating if current data structures correspond to quadrature rule points.

Definition at line 768 of file fe_abstract.h.

Referenced by libMesh::FEAbstract::n_quadrature_points().

◆ som

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<Real> libMesh::InfFE< Dim, T_radial, T_map >::som
protected

the radial decay \( 1/r \) in local coordinates.

Needed when setting up the overall shape functions.

Note
It is this decay which ensures that the Sommerfeld radiation condition is satisfied in advance.

Definition at line 1066 of file inf_fe.h.

◆ tangents

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<std::vector<Point> > libMesh::InfFE< Dim, T_radial, T_map >::tangents
protected

Definition at line 1123 of file inf_fe.h.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::get_tangents().

◆ weight

template<typename OutputType >
std::vector<Real> libMesh::FEGenericBase< OutputType >::weight
protectedinherited

Used for certain infinite element families: the additional radial weight \( 1/{r^2} \) in local coordinates, over all quadrature points.

Definition at line 767 of file fe_base.h.

Referenced by libMesh::FEGenericBase< OutputType >::get_Sobolev_weight(), libMesh::InfFE< Dim, T_radial, T_map >::get_Sobolev_weight(), and libMesh::FEGenericBase< OutputType >::get_Sobolev_weightxR_sq().

◆ weightxr_sq

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<Real> libMesh::InfFE< Dim, T_radial, T_map >::weightxr_sq
protected

Definition at line 1048 of file inf_fe.h.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::get_Sobolev_weightxR_sq().

◆ xyz

template<unsigned int Dim, FEFamily T_radial, InfMapType T_map>
std::vector<Point> libMesh::InfFE< Dim, T_radial, T_map >::xyz
protected

Physical quadrature points.

Usually, this is obtained from the FEMap class, but here FEMap does not know enough to compute it.

Definition at line 1046 of file inf_fe.h.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::get_xyz().

The documentation for this class was generated from the following files:
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