fe_interface.h

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// The libMesh Finite Element Library.
// Copyright (C) 2002-2019 Benjamin S. Kirk, John W. Peterson, Roy H. Stogner
 
// This library is free software; you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public
// License as published by the Free Software Foundation; either
// version 2.1 of the License, or (at your option) any later version.
 
// This library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
// Lesser General Public License for more details.
 
// You should have received a copy of the GNU Lesser General Public
// License along with this library; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
 
 
 
#ifndef LIBMESH_FE_INTERFACE_H
#define LIBMESH_FE_INTERFACE_H
 
// Local includes
#include "libmesh/libmesh_common.h"
#include "libmesh/vector_value.h"
 
// C++ includes
#include <map>
#include <vector>
 
namespace libMesh
{
 
 
// forward declarations
class BoundaryInfo;
class DofConstraints;
class DofMap;
class Elem;
class FEType;
class FEComputeData;
class Point;
class MeshBase;
enum FEFamily : int;
enum Order : int;
enum FEFieldType : int;
enum ElemType : int;
enum FEContinuity : int;
 
#ifdef LIBMESH_ENABLE_PERIODIC
class PeriodicBoundaries;
class PointLocatorBase;
#endif
 
class FEInterface
{
private:
 
  FEInterface();
 
public:
 
  virtual ~FEInterface() {}
 
  static unsigned int n_shape_functions(const unsigned int dim,
                                        const FEType & fe_t,
                                        const ElemType t);
 
  static unsigned int n_dofs(const unsigned int dim,
                             const FEType & fe_t,
                             const ElemType t);
 
  static unsigned int n_dofs(const unsigned int dim,
                             const FEType & fe_t,
                             const Elem * elem);
 
  static unsigned int n_dofs_at_node(const unsigned int dim,
                                     const FEType & fe_t,
                                     const ElemType t,
                                     const unsigned int n);
 
  typedef unsigned int (*n_dofs_at_node_ptr) (const ElemType,
                                              const Order,
                                              const unsigned int);
 
  static n_dofs_at_node_ptr
  n_dofs_at_node_function(const unsigned int dim,
                          const FEType & fe_t);
 
  static unsigned int n_dofs_per_elem(const unsigned int dim,
                                      const FEType & fe_t,
                                      const ElemType t);
 
  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);
 
  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);
 
  static void nodal_soln(const unsigned int dim,
                         const FEType & fe_t,
                         const Elem * elem,
                         const std::vector<Number> & elem_soln,
                         std::vector<Number> & nodal_soln);
 
  static Point map(unsigned int dim,
                   const FEType & fe_t,
                   const Elem * elem,
                   const Point & p);
 
  static Point inverse_map (const unsigned int dim,
                            const FEType & fe_t,
                            const Elem * elem,
                            const Point & p,
                            const Real tolerance = TOLERANCE,
                            const bool secure = true);
 
  static void  inverse_map (const unsigned int dim,
                            const FEType & fe_t,
                            const Elem * elem,
                            const std::vector<Point> & physical_points,
                            std::vector<Point> &       reference_points,
                            const Real tolerance = TOLERANCE,
                            const bool secure = true);
 
  static bool on_reference_element(const Point & p,
                                   const ElemType t,
                                   const Real eps=TOLERANCE);
  static Real shape(const unsigned int dim,
                    const FEType & fe_t,
                    const ElemType t,
                    const unsigned int i,
                    const Point & p);
 
  static Real shape(const unsigned int dim,
                    const FEType & fe_t,
                    const Elem * elem,
                    const unsigned int i,
                    const Point & p);
 
  template<typename OutputType>
  static void shape(const unsigned int dim,
                    const FEType & fe_t,
                    const ElemType t,
                    const unsigned int i,
                    const Point & p,
                    OutputType & phi);
 
  template<typename OutputType>
  static void shape(const unsigned int dim,
                    const FEType & fe_t,
                    const Elem * elem,
                    const unsigned int i,
                    const Point & p,
                    OutputType & phi);
 
  typedef Real (*shape_ptr) (const Elem * elem,
                             const Order o,
                             const unsigned int i,
                             const Point & p,
                             const bool add_p_level);
 
  static shape_ptr
  shape_function(const unsigned int dim,
                 const FEType & fe_t);
 
 
  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);
 
  static Real shape_deriv (const unsigned int dim,
                           const FEType & fe_t,
                           const Elem *elem,
                           const unsigned int i,
                           const unsigned int j,
                           const Point & p);
 
  typedef Real (*shape_deriv_ptr) (const Elem * elem,
                                   const Order o,
                                   const unsigned int i,
                                   const unsigned int j,
                                   const Point & p,
                                   const bool add_p_level);
 
  static shape_deriv_ptr
  shape_deriv_function(const unsigned int dim,
                       const FEType & fe_t);
 
#ifdef LIBMESH_ENABLE_SECOND_DERIVATIVES
 
  static Real shape_second_deriv(const unsigned int dim,
                                 const FEType & fe_t,
                                 const ElemType t,
                                 const unsigned int i,
                                 const unsigned int j,
                                 const Point & p);
 
  static Real shape_second_deriv (const unsigned int dim,
                                  const FEType & fe_t,
                                  const Elem *elem,
                                  const unsigned int i,
                                  const unsigned int j,
                                  const Point & p);
 
  typedef Real (*shape_second_deriv_ptr) (const Elem * elem,
                                          const Order o,
                                          const unsigned int i,
                                          const unsigned int j,
                                          const Point & p,
                                          const bool add_p_level);
 
  static shape_second_deriv_ptr
  shape_second_deriv_function(const unsigned int dim,
                              const FEType & fe_t);
#endif
 
  static void compute_data(const unsigned int dim,
                           const FEType & fe_t,
                           const Elem * elem,
                           FEComputeData & data);
 
#ifdef LIBMESH_ENABLE_AMR
 
  static void compute_constraints (DofConstraints & constraints,
                                   DofMap & dof_map,
                                   const unsigned int variable_number,
                                   const Elem * elem);
#endif // #ifdef LIBMESH_ENABLE_AMR
 
#ifdef LIBMESH_ENABLE_PERIODIC
 
  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);
#endif // #ifdef LIBMESH_ENABLE_PERIODIC
 
  static unsigned int max_order (const FEType & fe_t,
                                 const ElemType & el_t);
 
  static bool extra_hanging_dofs (const FEType & fe_t);
 
  static FEFieldType field_type (const FEType & fe_type);
 
  static FEFieldType field_type (const FEFamily & fe_family);
 
  static unsigned int n_vec_dim (const MeshBase & mesh,
                                 const FEType & fe_type);
  static FEContinuity get_continuity(const FEType & fe_type);
 
private:
 
 
  static bool is_InfFE_elem(const ElemType et);
 
 
#ifdef LIBMESH_ENABLE_INFINITE_ELEMENTS
 
  /*
   * All these private members do the same as their public
   * counterparts, except for infinite elements. This disentangles
   * the calls to \p FE and \p InfFE.
   */
 
  static unsigned int ifem_n_shape_functions(const unsigned int dim,
                                             const FEType & fe_t,
                                             const ElemType t);
 
  static unsigned int ifem_n_dofs(const unsigned int dim,
                                  const FEType & fe_t,
                                  const ElemType t);
 
  static unsigned int ifem_n_dofs_at_node(const unsigned int dim,
                                          const FEType & fe_t,
                                          const ElemType t,
                                          const unsigned int n);
 
  static unsigned int ifem_n_dofs_per_elem(const unsigned int dim,
                                           const FEType & fe_t,
                                           const ElemType t);
 
  static void ifem_nodal_soln(const unsigned int dim,
                              const FEType & fe_t,
                              const Elem * elem,
                              const std::vector<Number> & elem_soln,
                              std::vector<Number> & nodal_soln);
 
  static Point ifem_map (const unsigned int dim,
                         const FEType & fe_t,
                         const Elem * elem,
                         const Point & p);
 
  static Point ifem_inverse_map (const unsigned int dim,
                                 const FEType & fe_t,
                                 const Elem * elem,
                                 const Point & p,
                                 const Real tolerance = TOLERANCE,
                                 const bool secure = true);
 
  static void ifem_inverse_map (const unsigned int dim,
                                const FEType & fe_t,
                                const Elem * elem,
                                const std::vector<Point> & physical_points,
                                std::vector<Point> &       reference_points,
                                const Real tolerance = TOLERANCE,
                                const bool secure = true);
 
 
  static bool ifem_on_reference_element(const Point & p,
                                        const ElemType t,
                                        const Real eps);
 
  static Real ifem_shape(const unsigned int dim,
                         const FEType & fe_t,
                         const ElemType t,
                         const unsigned int i,
                         const Point & p);
 
  static Real ifem_shape(const unsigned int dim,
                         const FEType & fe_t,
                         const Elem * elem,
                         const unsigned int i,
                         const Point & p);
 
 
  static Real ifem_shape_deriv(const unsigned int dim,
                               const FEType & fe_t,
                               const ElemType t,
                               const unsigned int i,
                               const unsigned int j,
                               const Point & p);
 
  static Real ifem_shape_deriv(const unsigned int dim,
                               const FEType & fe_t,
                               const Elem * elem,
                               const unsigned int i,
                               const unsigned int j,
                               const Point & p);
 
  static void ifem_compute_data(const unsigned int dim,
                                const FEType & fe_t,
                                const Elem * elem,
                                FEComputeData & data);
 
#endif
 
 
};
 
} // namespace libMesh
 
#endif // LIBMESH_FE_INTERFACE_H