mfem::NodalFiniteElement Class Reference

#include <fe.hpp>

Inherits mfem::FiniteElement.

Inherited by mfem::BiCubic2DFiniteElement, mfem::BiLinear2DFiniteElement, mfem::BiQuad2DFiniteElement, mfem::CrouzeixRaviartFiniteElement, mfem::CrouzeixRaviartQuadFiniteElement, mfem::Cubic1DFiniteElement, mfem::Cubic2DFiniteElement, mfem::Cubic3DFiniteElement, mfem::GaussBiLinear2DFiniteElement, mfem::GaussBiQuad2DFiniteElement, mfem::GaussLinear2DFiniteElement, mfem::GaussQuad2DFiniteElement, mfem::H1_HexahedronElement, mfem::H1_QuadrilateralElement, mfem::H1_SegmentElement, mfem::H1_TetrahedronElement, mfem::H1_TriangleElement, mfem::L2_HexahedronElement, mfem::L2_QuadrilateralElement, mfem::L2_SegmentElement, mfem::L2_TetrahedronElement, mfem::L2_TriangleElement, mfem::Lagrange1DFiniteElement, mfem::LagrangeHexFiniteElement, mfem::Linear1DFiniteElement, mfem::Linear2DFiniteElement, mfem::Linear3DFiniteElement, mfem::P0HexFiniteElement, mfem::P0QuadFiniteElement, mfem::P0SegmentFiniteElement, mfem::P0TetFiniteElement, mfem::P0TriangleFiniteElement, mfem::P1OnQuadFiniteElement, mfem::P1SegmentFiniteElement, mfem::P1TetNonConfFiniteElement, mfem::P2SegmentFiniteElement, mfem::PointFiniteElement, mfem::Quad1DFiniteElement, mfem::Quad2DFiniteElement, mfem::Quadratic3DFiniteElement, mfem::RefinedBiLinear2DFiniteElement, mfem::RefinedLinear1DFiniteElement, mfem::RefinedLinear2DFiniteElement, mfem::RefinedLinear3DFiniteElement, mfem::RefinedTriLinear3DFiniteElement, mfem::RotTriLinearHexFiniteElement, and mfem::TriLinear3DFiniteElement.

Collaboration diagram for mfem::NodalFiniteElement:

Public Member Functions
	NodalFiniteElement (int D, int G, int Do, int O, int F=FunctionSpace::Pk)
virtual void	GetLocalInterpolation (ElementTransformation &Trans, DenseMatrix &I) const
virtual void	Project (Coefficient &coeff, ElementTransformation &Trans, Vector &dofs) const
virtual void	Project (VectorCoefficient &vc, ElementTransformation &Trans, 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	ProjectDiv (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &div) const
Public Member Functions inherited from mfem::FiniteElement
	FiniteElement (int D, int G, int Do, int O, int F=FunctionSpace::Pk)
int	GetDim () const
	Returns the space dimension for the finite element. More...
int	GetGeomType () const
	Returns the geometry type: More...
int	GetDof () const
	Returns the degrees of freedom in the FE space. More...
int	GetOrder () const
	Returns the order of the finite element. More...
int	Space () const
	Returns the type of space on each element. More...
int	GetRangeType () const
int	GetMapType () const
virtual void	CalcShape (const IntegrationPoint &ip, Vector &shape) const =0
virtual void	CalcDShape (const IntegrationPoint &ip, DenseMatrix &dshape) const =0
const IntegrationRule &	GetNodes () const
virtual void	CalcVShape (const IntegrationPoint &ip, DenseMatrix &shape) const
virtual void	CalcVShape (ElementTransformation &Trans, DenseMatrix &shape) const
virtual void	CalcDivShape (const IntegrationPoint &ip, Vector &divshape) const
virtual void	CalcCurlShape (const IntegrationPoint &ip, DenseMatrix &curl_shape) const
virtual void	GetFaceDofs (int face, int **dofs, int *ndofs) const
virtual void	CalcHessian (const IntegrationPoint &ip, DenseMatrix &h) const
virtual void	ProjectDelta (int vertex, Vector &dofs) const
virtual void	ProjectCurl (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &curl) const
virtual	~FiniteElement ()

Protected Member Functions
void	NodalLocalInterpolation (ElementTransformation &Trans, DenseMatrix &I, const NodalFiniteElement &fine_fe) const
void	ProjectCurl_2D (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &curl) const

Protected Attributes
Vector	c_shape
Protected Attributes inherited from mfem::FiniteElement
int	Dim
int	GeomType
int	Dof
int	Order
int	FuncSpace
int	RangeType
int	MapType
IntegrationRule	Nodes

Additional Inherited Members
Public Types inherited from mfem::FiniteElement
enum	{ SCALAR, VECTOR }
	Enumeration for RangeType. More...
enum	{ VALUE, INTEGRAL, H_DIV, H_CURL }

Detailed Description

Definition at line 199 of file fe.hpp.

Constructor & Destructor Documentation

mfem::NodalFiniteElement::NodalFiniteElement ( int  D, int  G, int  Do, int  O, int  F = FunctionSpace::Pk  )

inline

Definition at line 215 of file fe.hpp.

Member Function Documentation

virtual void mfem::NodalFiniteElement::GetLocalInterpolation ( ElementTransformation &  Trans, DenseMatrix &  I  ) const

inlinevirtual

Return the local interpolation matrix I (Dof x Dof) where the fine element is the image of the base geometry under the given transformation.

Reimplemented from mfem::FiniteElement.

Definition at line 230 of file fe.hpp.

void mfem::NodalFiniteElement::NodalLocalInterpolation ( ElementTransformation &  Trans, DenseMatrix &  I, const NodalFiniteElement &  fine_fe  ) const

protected

Definition at line 125 of file fe.cpp.

void mfem::NodalFiniteElement::Project ( Coefficient &  coeff, ElementTransformation &  Trans, Vector &  dofs  ) const

virtual

Given a coefficient and a transformation, compute its projection (approximation) in the local finite dimensional space in terms of the degrees of freedom.

Reimplemented from mfem::FiniteElement.

Definition at line 177 of file fe.cpp.

void mfem::NodalFiniteElement::Project ( VectorCoefficient &  vc, ElementTransformation &  Trans, Vector &  dofs  ) const

virtual

Given a vector coefficient and a transformation, compute its projection (approximation) in the local finite dimensional space in terms of the degrees of freedom. (VectorFiniteElements)

Reimplemented from mfem::FiniteElement.

Definition at line 194 of file fe.cpp.

void mfem::NodalFiniteElement::Project ( const FiniteElement &  fe, ElementTransformation &  Trans, DenseMatrix &  I  ) const

virtual

Compute the embedding/projection matrix from the given FiniteElement onto 'this' FiniteElement. The ElementTransformation is included to support cases when the projection depends on it.

Reimplemented from mfem::FiniteElement.

Definition at line 218 of file fe.cpp.

void mfem::NodalFiniteElement::ProjectCurl_2D ( const FiniteElement &  fe, ElementTransformation &  Trans, DenseMatrix &  curl  ) const

protected

Definition at line 158 of file fe.cpp.

void mfem::NodalFiniteElement::ProjectDiv ( const FiniteElement &  fe, ElementTransformation &  Trans, DenseMatrix &  div  ) const

virtual

Compute the discrete divergence matrix from the given FiniteElement onto 'this' FiniteElement. The ElementTransformation is included to support cases when the matrix depends on it.

Reimplemented from mfem::FiniteElement.

Definition at line 288 of file fe.cpp.

void mfem::NodalFiniteElement::ProjectGrad ( const FiniteElement &  fe, ElementTransformation &  Trans, DenseMatrix &  grad  ) const

virtual

Compute the discrete gradient matrix from the given FiniteElement onto 'this' FiniteElement. The ElementTransformation is included to support cases when the matrix depends on it.

Reimplemented from mfem::FiniteElement.

Definition at line 259 of file fe.cpp.

Member Data Documentation

Vector mfem::NodalFiniteElement::c_shape

mutableprotected

Definition at line 211 of file fe.hpp.

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

• fe.hpp
• fe.cpp