libMesh
Public Member Functions | Static Public Member Functions | List of all members
libMesh::FETransformationBase< OutputShape > Class Template Referenceabstract

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

#include <fe_base.h>

Inheritance diagram for libMesh::FETransformationBase< OutputShape >:
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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 54 of file fe_base.h.

Constructor & Destructor Documentation

◆ FETransformationBase()

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

Definition at line 46 of file fe_transformation_base.h.

46 {}

◆ ~FETransformationBase()

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

Definition at line 47 of file fe_transformation_base.h.

47 {}

Member Function Documentation

◆ build()

template<typename OutputShape >
static std::unique_ptr<FETransformationBase<OutputShape> > libMesh::FETransformationBase< OutputShape >::build ( const FEType type)
static

Builds an FETransformation object based on the finite element type.

◆ 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::H1FETransformation< OutputShape >, and libMesh::HCurlFETransformation< 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: