MFEM  v4.1.0
Finite element discretization library
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mfem::VectorFiniteElement Class Reference

#include <fe.hpp>

Inherits mfem::FiniteElement.

Inherited by mfem::ND_SegmentElement, mfem::ND_TetrahedronElement, mfem::ND_TriangleElement, mfem::Nedelec1HexFiniteElement, mfem::Nedelec1TetFiniteElement, mfem::RT0HexFiniteElement, mfem::RT0QuadFiniteElement, mfem::RT0TetFiniteElement, mfem::RT0TriangleFiniteElement, mfem::RT1HexFiniteElement, mfem::RT1QuadFiniteElement, mfem::RT1TriangleFiniteElement, mfem::RT2QuadFiniteElement, mfem::RT2TriangleFiniteElement, mfem::RT_HexahedronElement, mfem::RT_QuadrilateralElement, mfem::RT_TetrahedronElement, mfem::RT_TriangleElement, and mfem::VectorTensorFiniteElement.

Collaboration diagram for mfem::VectorFiniteElement:
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Public Member Functions

 VectorFiniteElement (int D, Geometry::Type G, int Do, int O, int M, int F=FunctionSpace::Pk)
 
 FiniteElement (D, G, Do, O, F)
 
 Jinv (D)
 
- Public Member Functions inherited from mfem::FiniteElement
 FiniteElement (int D, Geometry::Type G, int Do, int O, int F=FunctionSpace::Pk)
 
int GetDim () const
 Returns the reference space dimension for the finite element. More...
 
Geometry::Type GetGeomType () const
 Returns the Geometry::Type of the reference element. More...
 
int GetDof () const
 Returns the number of degrees of freedom in the finite element. More...
 
int GetOrder () const
 Returns the order of the finite element. In the case of anisotropic orders, returns the maximum order. More...
 
bool HasAnisotropicOrders () const
 Returns true if the FiniteElement basis may be using different orders/degrees in different spatial directions. More...
 
const int * GetAnisotropicOrders () const
 Returns an array containing the anisotropic orders/degrees. More...
 
int Space () const
 Returns the type of space on each element. More...
 
int GetRangeType () const
 
int GetDerivRangeType () const
 
int GetMapType () const
 
int GetDerivType () const
 
int GetDerivMapType () const
 
void CalcPhysShape (ElementTransformation &Trans, Vector &shape) const
 Evaluate the values of all shape functions of a scalar finite element in physical space at the point described by Trans. More...
 
void CalcPhysDShape (ElementTransformation &Trans, DenseMatrix &dshape) const
 Evaluate the gradients of all shape functions of a scalar finite element in physical space at the point described by Trans. More...
 
const IntegrationRule & GetNodes () const
 
virtual void CalcVShape (const IntegrationPoint &ip, DenseMatrix &shape) const
 Evaluate the values of all shape functions of a vector finite element in reference space at the given point ip. More...
 
virtual void CalcVShape (ElementTransformation &Trans, DenseMatrix &shape) const
 Evaluate the values of all shape functions of a vector finite element in physical space at the point described by Trans. More...
 
void CalcPhysVShape (ElementTransformation &Trans, DenseMatrix &shape) const
 Equivalent to the CalcVShape() method with the same arguments. More...
 
virtual void CalcDivShape (const IntegrationPoint &ip, Vector &divshape) const
 Evaluate the divergence of all shape functions of a vector finite element in reference space at the given point ip. More...
 
void CalcPhysDivShape (ElementTransformation &Trans, Vector &divshape) const
 Evaluate the divergence of all shape functions of a vector finite element in physical space at the point described by Trans. More...
 
virtual void CalcCurlShape (const IntegrationPoint &ip, DenseMatrix &curl_shape) const
 Evaluate the curl of all shape functions of a vector finite element in reference space at the given point ip. More...
 
void CalcPhysCurlShape (ElementTransformation &Trans, DenseMatrix &curl_shape) const
 Evaluate the curl of all shape functions of a vector finite element in physical space at the point described by Trans. More...
 
virtual void GetFaceDofs (int face, int **dofs, int *ndofs) const
 
virtual void CalcHessian (const IntegrationPoint &ip, DenseMatrix &Hessian) const
 Evaluate the Hessians of all shape functions of a scalar finite element in reference space at the given point ip. More...
 
virtual void CalcPhysHessian (ElementTransformation &Trans, DenseMatrix &Hessian) const
 Evaluate the Hessian of all shape functions of a scalar finite element in reference space at the given point ip. More...
 
virtual void CalcPhysLaplacian (ElementTransformation &Trans, Vector &Laplacian) const
 Evaluate the Laplacian of all shape functions of a scalar finite element in reference space at the given point ip. More...
 
virtual void CalcPhysLinLaplacian (ElementTransformation &Trans, Vector &Laplacian) const
 
virtual void GetLocalInterpolation (ElementTransformation &Trans, DenseMatrix &I) const
 Return the local interpolation matrix I (Dof x Dof) where the fine element is the image of the base geometry under the given transformation. More...
 
virtual void GetLocalRestriction (ElementTransformation &Trans, DenseMatrix &R) const
 Return a local restriction matrix R (Dof x Dof) mapping fine dofs to coarse dofs. More...
 
virtual void GetTransferMatrix (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &I) const
 Return interpolation matrix, I, which maps dofs from a coarse element, fe, to the fine dofs on this finite element. More...
 
virtual void Project (Coefficient &coeff, ElementTransformation &Trans, Vector &dofs) const
 
virtual void Project (VectorCoefficient &vc, ElementTransformation &Trans, Vector &dofs) const
 
virtual void ProjectMatrixCoefficient (MatrixCoefficient &mc, ElementTransformation &T, Vector &dofs) const
 
virtual void ProjectDelta (int vertex, Vector &dofs) const
 
virtual void Project (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &I) const
 
virtual void ProjectGrad (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &grad) const
 
virtual void ProjectCurl (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &curl) const
 
virtual void ProjectDiv (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &div) const
 
virtual const DofToQuad & GetDofToQuad (const IntegrationRule &ir, DofToQuad::Mode mode) const
 
virtual ~FiniteElement ()
 

Protected Member Functions

void SetDerivMembers ()
 
void CalcVShape_RT (ElementTransformation &Trans, DenseMatrix &shape) const
 
void CalcVShape_ND (ElementTransformation &Trans, DenseMatrix &shape) const
 
void Project_RT (const double *nk, const Array< int > &d2n, VectorCoefficient &vc, ElementTransformation &Trans, Vector &dofs) const
 
void ProjectMatrixCoefficient_RT (const double *nk, const Array< int > &d2n, MatrixCoefficient &mc, ElementTransformation &T, Vector &dofs) const
 
void Project_RT (const double *nk, const Array< int > &d2n, const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &I) const
 
void ProjectGrad_RT (const double *nk, const Array< int > &d2n, const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &grad) const
 
void ProjectCurl_ND (const double *tk, const Array< int > &d2t, const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &curl) const
 
void ProjectCurl_RT (const double *nk, const Array< int > &d2n, const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &curl) const
 
void Project_ND (const double *tk, const Array< int > &d2t, VectorCoefficient &vc, ElementTransformation &Trans, Vector &dofs) const
 
void ProjectMatrixCoefficient_ND (const double *tk, const Array< int > &d2t, MatrixCoefficient &mc, ElementTransformation &T, Vector &dofs) const
 
void Project_ND (const double *tk, const Array< int > &d2t, const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &I) const
 
void ProjectGrad_ND (const double *tk, const Array< int > &d2t, const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &grad) const
 
void LocalInterpolation_RT (const VectorFiniteElement &cfe, const double *nk, const Array< int > &d2n, ElementTransformation &Trans, DenseMatrix &I) const
 
void LocalInterpolation_ND (const VectorFiniteElement &cfe, const double *tk, const Array< int > &d2t, ElementTransformation &Trans, DenseMatrix &I) const
 
void LocalRestriction_RT (const double *nk, const Array< int > &d2n, ElementTransformation &Trans, DenseMatrix &R) const
 
void LocalRestriction_ND (const double *tk, const Array< int > &d2t, ElementTransformation &Trans, DenseMatrix &R) const
 

Static Protected Member Functions

static const VectorFiniteElement & CheckVectorFE (const FiniteElement &fe)
 

Protected Attributes

DenseMatrix J
 
DenseMatrix Jinv
 
DenseMatrix curlshape
 
DenseMatrix curlshape_J
 
- Protected Attributes inherited from mfem::FiniteElement
int Dim
 Dimension of reference space. More...
 
Geometry::Type GeomType
 Geometry::Type of the reference element. More...
 
int FuncSpace
 
int RangeType
 
int MapType
 
int DerivType
 
int DerivRangeType
 
int DerivMapType
 
int Dof
 Number of degrees of freedom. More...
 
int Order
 Order/degree of the shape functions. More...
 
int Orders [Geometry::MaxDim]
 Anisotropic orders. More...
 
IntegrationRule Nodes
 
DenseMatrix vshape
 
Array< DofToQuad * > dof2quad_array
 Container for all DofToQuad objects created by the FiniteElement. More...
 

Additional Inherited Members

- Public Types inherited from mfem::FiniteElement
enum  { SCALAR, VECTOR }
 Enumeration for RangeType and DerivRangeType. More...
 
enum  { VALUE, INTEGRAL, H_DIV, H_CURL }
 Enumeration for MapType: defines how reference functions are mapped to physical space. More...
 
enum  { NONE, GRAD, DIV, CURL }
 Enumeration for DerivType: defines which derivative method is implemented. More...
 
- Static Public Member Functions inherited from mfem::FiniteElement
static bool IsClosedType (int b_type)
 
static bool IsOpenType (int b_type)
 
static int VerifyClosed (int b_type)
 
static int VerifyOpen (int b_type)
 
static int VerifyNodal (int b_type)
 

Detailed Description

Definition at line 705 of file fe.hpp.

Constructor & Destructor Documentation

mfem::VectorFiniteElement::VectorFiniteElement ( int  D,
Geometry::Type  G,
int  Do,
int  O,
int  M,
int  F = FunctionSpace::Pk 
)
inline

Definition at line 801 of file fe.hpp.

Member Function Documentation

void mfem::VectorFiniteElement::CalcVShape_ND ( ElementTransformation &  Trans,
DenseMatrix &  shape 
) const
protected

Definition at line 897 of file fe.cpp.

void mfem::VectorFiniteElement::CalcVShape_RT ( ElementTransformation &  Trans,
DenseMatrix &  shape 
) const
protected

Definition at line 885 of file fe.cpp.

static const VectorFiniteElement& mfem::VectorFiniteElement::CheckVectorFE ( const FiniteElement &  fe)
inlinestaticprotected

Definition at line 793 of file fe.hpp.

mfem::VectorFiniteElement::FiniteElement ( D  ,
G  ,
Do  ,
O  ,
F   
)
mfem::VectorFiniteElement::Jinv ( D  )
inline

Definition at line 807 of file fe.hpp.

void mfem::VectorFiniteElement::LocalInterpolation_ND ( const VectorFiniteElement &  cfe,
const double *  tk,
const Array< int > &  d2t,
ElementTransformation &  Trans,
DenseMatrix &  I 
) const
protected

Definition at line 1237 of file fe.cpp.

void mfem::VectorFiniteElement::LocalInterpolation_RT ( const VectorFiniteElement &  cfe,
const double *  nk,
const Array< int > &  d2n,
ElementTransformation &  Trans,
DenseMatrix &  I 
) const
protected

Definition at line 1198 of file fe.cpp.

void mfem::VectorFiniteElement::LocalRestriction_ND ( const double *  tk,
const Array< int > &  d2t,
ElementTransformation &  Trans,
DenseMatrix &  R 
) const
protected

Definition at line 1317 of file fe.cpp.

void mfem::VectorFiniteElement::LocalRestriction_RT ( const double *  nk,
const Array< int > &  d2n,
ElementTransformation &  Trans,
DenseMatrix &  R 
) const
protected

Definition at line 1274 of file fe.cpp.

void mfem::VectorFiniteElement::Project_ND ( const double *  tk,
const Array< int > &  d2t,
VectorCoefficient &  vc,
ElementTransformation &  Trans,
Vector &  dofs 
) const
protected

Definition at line 1087 of file fe.cpp.

void mfem::VectorFiniteElement::Project_ND ( const double *  tk,
const Array< int > &  d2t,
const FiniteElement &  fe,
ElementTransformation &  Trans,
DenseMatrix &  I 
) const
protected

Definition at line 1130 of file fe.cpp.

void mfem::VectorFiniteElement::Project_RT ( const double *  nk,
const Array< int > &  d2n,
VectorCoefficient &  vc,
ElementTransformation &  Trans,
Vector &  dofs 
) const
protected

Definition at line 908 of file fe.cpp.

void mfem::VectorFiniteElement::Project_RT ( const double *  nk,
const Array< int > &  d2n,
const FiniteElement &  fe,
ElementTransformation &  Trans,
DenseMatrix &  I 
) const
protected

Definition at line 956 of file fe.cpp.

void mfem::VectorFiniteElement::ProjectCurl_ND ( const double *  tk,
const Array< int > &  d2t,
const FiniteElement &  fe,
ElementTransformation &  Trans,
DenseMatrix &  curl 
) const
protected

Definition at line 1030 of file fe.cpp.

void mfem::VectorFiniteElement::ProjectCurl_RT ( const double *  nk,
const Array< int > &  d2n,
const FiniteElement &  fe,
ElementTransformation &  Trans,
DenseMatrix &  curl 
) const
protected

Definition at line 1068 of file fe.cpp.

void mfem::VectorFiniteElement::ProjectGrad_ND ( const double *  tk,
const Array< int > &  d2t,
const FiniteElement &  fe,
ElementTransformation &  Trans,
DenseMatrix &  grad 
) const
protected

Definition at line 1177 of file fe.cpp.

void mfem::VectorFiniteElement::ProjectGrad_RT ( const double *  nk,
const Array< int > &  d2n,
const FiniteElement &  fe,
ElementTransformation &  Trans,
DenseMatrix &  grad 
) const
protected

Definition at line 1003 of file fe.cpp.

void mfem::VectorFiniteElement::ProjectMatrixCoefficient_ND ( const double *  tk,
const Array< int > &  d2t,
MatrixCoefficient &  mc,
ElementTransformation &  T,
Vector &  dofs 
) const
protected

Definition at line 1104 of file fe.cpp.

void mfem::VectorFiniteElement::ProjectMatrixCoefficient_RT ( const double *  nk,
const Array< int > &  d2n,
MatrixCoefficient &  mc,
ElementTransformation &  T,
Vector &  dofs 
) const
protected

Definition at line 928 of file fe.cpp.

void mfem::VectorFiniteElement::SetDerivMembers ( )
protected

Definition at line 848 of file fe.cpp.

Member Data Documentation

DenseMatrix mfem::VectorFiniteElement::curlshape
mutableprotected

Definition at line 720 of file fe.hpp.

DenseMatrix mfem::VectorFiniteElement::curlshape_J
mutableprotected

Definition at line 720 of file fe.hpp.

DenseMatrix mfem::VectorFiniteElement::J
mutableprotected

Definition at line 719 of file fe.hpp.

DenseMatrix mfem::VectorFiniteElement::Jinv
mutableprotected

Definition at line 719 of file fe.hpp.

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