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Public Member Functions | Static Public Member Functions
libMesh::FETransformationBase< OutputShape > Class Template Reference

#include <fe_transformation_base.h>

Inheritance diagram for libMesh::FETransformationBase< OutputShape >:
Inheritance graph
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List of all members.

Public Member Functions

 FETransformationBase ()
virtual ~FETransformationBase ()
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
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
virtual void map_d2phi (const unsigned int dim, const Elem *const elem, 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
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
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

Static Public Member Functions

static UniquePtr
< FETransformationBase
< OutputShape > > 		build (const FEType &type)

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, 2012

Definition at line 41 of file fe_transformation_base.h.

Constructor & Destructor Documentation

template<typename OutputShape >
libMesh::FETransformationBase< OutputShape >::FETransformationBase ( ) [inline]

Definition at line 45 of file fe_transformation_base.h.

{}
template<typename OutputShape >
virtual libMesh::FETransformationBase< OutputShape >::~FETransformationBase ( ) [inline, virtual]

Definition at line 46 of file fe_transformation_base.h.

{}

Member Function Documentation

template<typename OutputShape >
UniquePtr< FETransformationBase< OutputShape > > libMesh::FETransformationBase< OutputShape >::build ( const FEType &  type) [static]

Builds an FETransformation object based on the finite element type

Definition at line 26 of file fe_transformation_base.C.

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::NEDELEC_ONE, libMesh::SCALAR, libMesh::SUBDIVISION, libMesh::SZABAB, and libMesh::XYZ.

{
  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 XYZ: // PB: Shouldn't this be L2 conforming?
    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 UniquePtr<FETransformationBase<OutputShape> >(new H1FETransformation<OutputShape>);

      // HCurl Conforming Elements
    case NEDELEC_ONE:
      return UniquePtr<FETransformationBase<OutputShape> >(new HCurlFETransformation<OutputShape>);

      // HDiv Conforming Elements
      // L2 Conforming Elements

      // Other...
    case SCALAR:
      // Should never need this for SCALARs
      return UniquePtr<FETransformationBase<OutputShape> >(new H1FETransformation<OutputShape>);

    default:
      libmesh_error_msg("Unknown family = " << fe_type.family);
    }

  libmesh_error_msg("We'll never get here!");
  return UniquePtr<FETransformationBase<OutputShape> >();
}
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 >.

template<typename OutputShape >
virtual void libMesh::FETransformationBase< OutputShape >::map_d2phi ( const unsigned int  dim,
const Elem *const  elem,
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 >.

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 >.

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 >.

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

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