libMesh::FETransformationBase< OutputShape > Class Template Reference

This class handles the computation of the shape functions in the physical domain. More...

#include <fe_base.h>

Inheritance diagram for libMesh::FETransformationBase< OutputShape >:

Public Member Functions
	FETransformationBase ()
virtual	~FETransformationBase ()
virtual void	init_map_phi (const FEGenericBase< OutputShape > &fe) const =0
	Pre-requests any necessary data from FEMap. More...
virtual void	init_map_dphi (const FEGenericBase< OutputShape > &fe) const =0
	Pre-requests any necessary data from FEMap. More...
virtual void	init_map_d2phi (const FEGenericBase< OutputShape > &fe) const =0
	Pre-requests any necessary data from FEMap. More...
virtual void	map_phi (const unsigned int dim, const Elem *const elem, const std::vector< Point > &qp, const FEGenericBase< OutputShape > &fe, std::vector< std::vector< OutputShape >> &phi) const =0
	Evaluates shape functions in physical coordinates based on proper finite element transformation. More...
virtual void	map_dphi (const unsigned int dim, const Elem *const elem, const std::vector< Point > &qp, const FEGenericBase< OutputShape > &fe, std::vector< std::vector< typename FEGenericBase< OutputShape >::OutputGradient >> &dphi, std::vector< std::vector< OutputShape >> &dphidx, std::vector< std::vector< OutputShape >> &dphidy, std::vector< std::vector< OutputShape >> &dphidz) const =0
	Evaluates shape function gradients in physical coordinates based on proper finite element transformation. More...
virtual void	map_d2phi (const unsigned int dim, const std::vector< Point > &qp, const FEGenericBase< OutputShape > &fe, std::vector< std::vector< typename FEGenericBase< OutputShape >::OutputTensor >> &d2phi, std::vector< std::vector< OutputShape >> &d2phidx2, std::vector< std::vector< OutputShape >> &d2phidxdy, std::vector< std::vector< OutputShape >> &d2phidxdz, std::vector< std::vector< OutputShape >> &d2phidy2, std::vector< std::vector< OutputShape >> &d2phidydz, std::vector< std::vector< OutputShape >> &d2phidz2) const =0
	Evaluates shape function Hessians in physical coordinates based on proper finite element transformation. More...
virtual void	map_curl (const unsigned int dim, const Elem *const elem, const std::vector< Point > &qp, const FEGenericBase< OutputShape > &fe, std::vector< std::vector< OutputShape >> &curl_phi) const =0
	Evaluates the shape function curl in physical coordinates based on proper finite element transformation. More...
virtual void	map_div (const unsigned int dim, const Elem *const elem, const std::vector< Point > &qp, const FEGenericBase< OutputShape > &fe, std::vector< std::vector< typename FEGenericBase< OutputShape >::OutputDivergence >> &div_phi) const =0
	Evaluates the shape function divergence in physical coordinates based on proper finite element transformation. More...

Static Public Member Functions
static std::unique_ptr< FETransformationBase< OutputShape > >	build (const FEType &type)
	Builds an FETransformation object based on the finite element type. More...

Detailed Description

template<typename OutputShape>
class libMesh::FETransformationBase< OutputShape >

This class handles the computation of the shape functions in the physical domain.

Derived classes implement the particular mapping: H1, HCurl, HDiv, or L2. This class assumes the FEGenericBase object has been initialized in the reference domain (i.e. init_shape_functions has been called).

Author

Paul T. Bauman

Date

2012

Definition at line 53 of file fe_base.h.

Constructor & Destructor Documentation

FETransformationBase()

template<typename OutputShape >

libMesh::FETransformationBase< OutputShape >::FETransformationBase ( )

inline

Definition at line 46 of file fe_transformation_base.h.

{}

~FETransformationBase()

template<typename OutputShape >

virtual libMesh::FETransformationBase< OutputShape >::~FETransformationBase ( )

inlinevirtual

Definition at line 47 of file fe_transformation_base.h.

{}

Member Function Documentation

build()

template<typename OutputShape >

std::unique_ptr< FETransformationBase< OutputShape > > libMesh::FETransformationBase< OutputShape >::build ( const FEType &  type )

static

Builds an FETransformation object based on the finite element type.

Definition at line 28 of file fe_transformation_base.C.

{
  switch (fe_type.family)
    {
      // H1 Conforming Elements
    case LAGRANGE:
    case HIERARCHIC:
    case BERNSTEIN:
    case SZABAB:
    case CLOUGH: // PB: Really H2
    case HERMITE: // PB: Really H2
    case SUBDIVISION:
    case LAGRANGE_VEC:
    case MONOMIAL: // PB: Shouldn't this be L2 conforming?
    case MONOMIAL_VEC: // PB: Shouldn't this be L2 conforming?
    case XYZ: // PB: Shouldn't this be L2 conforming?
    case RATIONAL_BERNSTEIN:
    case L2_HIERARCHIC: // PB: Shouldn't this be L2 conforming?
    case L2_LAGRANGE: // PB: Shouldn't this be L2 conforming?
    case JACOBI_20_00: // PB: For infinite elements...
    case JACOBI_30_00: // PB: For infinite elements...
      return libmesh_make_unique<H1FETransformation<OutputShape>>();
 
      // HCurl Conforming Elements
    case NEDELEC_ONE:
      return libmesh_make_unique<HCurlFETransformation<OutputShape>>();
 
      // HDiv Conforming Elements
      // L2 Conforming Elements
 
      // Other...
    case SCALAR:
      // Should never need this for SCALARs
      return libmesh_make_unique<H1FETransformation<OutputShape>>();
 
    default:
      libmesh_error_msg("Unknown family = " << fe_type.family);
    }
}

References libMesh::BERNSTEIN, libMesh::CLOUGH, libMesh::FEType::family, libMesh::HERMITE, libMesh::HIERARCHIC, libMesh::JACOBI_20_00, libMesh::JACOBI_30_00, libMesh::L2_HIERARCHIC, libMesh::L2_LAGRANGE, libMesh::LAGRANGE, libMesh::LAGRANGE_VEC, libMesh::MONOMIAL, libMesh::MONOMIAL_VEC, libMesh::NEDELEC_ONE, libMesh::RATIONAL_BERNSTEIN, libMesh::SCALAR, libMesh::SUBDIVISION, libMesh::SZABAB, and libMesh::XYZ.

init_map_d2phi()

template<typename OutputShape >

virtual void libMesh::FETransformationBase< OutputShape >::init_map_d2phi ( const FEGenericBase< OutputShape > &  fe ) const

pure virtual

Pre-requests any necessary data from FEMap.

Implemented in libMesh::H1FETransformation< OutputShape >, and libMesh::HCurlFETransformation< OutputShape >.

init_map_dphi()

template<typename OutputShape >

virtual void libMesh::FETransformationBase< OutputShape >::init_map_dphi ( const FEGenericBase< OutputShape > &  fe ) const

pure virtual

Pre-requests any necessary data from FEMap.

Implemented in libMesh::H1FETransformation< OutputShape >, and libMesh::HCurlFETransformation< OutputShape >.

init_map_phi()

template<typename OutputShape >

virtual void libMesh::FETransformationBase< OutputShape >::init_map_phi ( const FEGenericBase< OutputShape > &  fe ) const

pure virtual

Pre-requests any necessary data from FEMap.

Implemented in libMesh::H1FETransformation< OutputShape >, and libMesh::HCurlFETransformation< OutputShape >.

map_curl()

template<typename OutputShape >

virtual void libMesh::FETransformationBase< OutputShape >::map_curl ( const unsigned int  dim, const Elem *const  elem, const std::vector< Point > &  qp, const FEGenericBase< OutputShape > &  fe, std::vector< std::vector< OutputShape >> &  curl_phi  ) const

pure virtual

Evaluates the shape function curl in physical coordinates based on proper finite element transformation.

Implemented in libMesh::HCurlFETransformation< OutputShape >, and libMesh::H1FETransformation< OutputShape >.

map_d2phi()

template<typename OutputShape >

virtual void libMesh::FETransformationBase< OutputShape >::map_d2phi ( const unsigned int  dim, const std::vector< Point > &  qp, const FEGenericBase< OutputShape > &  fe, std::vector< std::vector< typename FEGenericBase< OutputShape >::OutputTensor >> &  d2phi, std::vector< std::vector< OutputShape >> &  d2phidx2, std::vector< std::vector< OutputShape >> &  d2phidxdy, std::vector< std::vector< OutputShape >> &  d2phidxdz, std::vector< std::vector< OutputShape >> &  d2phidy2, std::vector< std::vector< OutputShape >> &  d2phidydz, std::vector< std::vector< OutputShape >> &  d2phidz2  ) const

pure virtual

Evaluates shape function Hessians in physical coordinates based on proper finite element transformation.

Implemented in libMesh::HCurlFETransformation< OutputShape >, and libMesh::H1FETransformation< OutputShape >.

map_div()

template<typename OutputShape >

virtual void libMesh::FETransformationBase< OutputShape >::map_div ( const unsigned int  dim, const Elem *const  elem, const std::vector< Point > &  qp, const FEGenericBase< OutputShape > &  fe, std::vector< std::vector< typename FEGenericBase< OutputShape >::OutputDivergence >> &  div_phi  ) const

pure virtual

Evaluates the shape function divergence in physical coordinates based on proper finite element transformation.

Implemented in libMesh::HCurlFETransformation< OutputShape >, and libMesh::H1FETransformation< OutputShape >.

map_dphi()

template<typename OutputShape >

virtual void libMesh::FETransformationBase< OutputShape >::map_dphi ( const unsigned int  dim, const Elem *const  elem, const std::vector< Point > &  qp, const FEGenericBase< OutputShape > &  fe, std::vector< std::vector< typename FEGenericBase< OutputShape >::OutputGradient >> &  dphi, std::vector< std::vector< OutputShape >> &  dphidx, std::vector< std::vector< OutputShape >> &  dphidy, std::vector< std::vector< OutputShape >> &  dphidz  ) const

pure virtual

Evaluates shape function gradients in physical coordinates based on proper finite element transformation.

Implemented in libMesh::HCurlFETransformation< OutputShape >, and libMesh::H1FETransformation< OutputShape >.

map_phi()

template<typename OutputShape >

virtual void libMesh::FETransformationBase< OutputShape >::map_phi ( const unsigned int  dim, const Elem *const  elem, const std::vector< Point > &  qp, const FEGenericBase< OutputShape > &  fe, std::vector< std::vector< OutputShape >> &  phi  ) const

pure virtual

Evaluates shape functions in physical coordinates based on proper finite element transformation.

Implemented in libMesh::H1FETransformation< OutputShape >, and libMesh::HCurlFETransformation< OutputShape >.

---

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

• include/fe/fe_base.h
• include/fe/fe_transformation_base.h
• src/fe/fe_transformation_base.C