#include <fe.hpp>

Inheritance diagram for mfem::ND_QuadrilateralElement:

Collaboration diagram for mfem::ND_QuadrilateralElement:

Public Member Functions
	ND_QuadrilateralElement (const int p)

virtual void	CalcVShape (const IntegrationPoint &ip, DenseMatrix &shape) const

virtual void	CalcVShape (ElementTransformation &Trans, DenseMatrix &shape) const

virtual void	CalcCurlShape (const IntegrationPoint &ip, DenseMatrix &curl_shape) const

virtual void	GetLocalInterpolation (ElementTransformation &Trans, DenseMatrix &I) 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

Public Member Functions inherited from mfem::VectorFiniteElement
	VectorFiniteElement (int D, int G, int Do, int O, int M, int F=FunctionSpace::Pk)

	FiniteElement (D, G, Do, O, F)

	Jinv (D)

	vshape (Do, D)

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

const IntegrationRule &	GetNodes () const

virtual void	CalcDivShape (const IntegrationPoint &ip, Vector &divshape) const

virtual void	GetFaceDofs (int face, int *dofs, int ndofs) const

virtual void	CalcHessian (const IntegrationPoint &ip, DenseMatrix &h) const

virtual void	Project (Coefficient &coeff, ElementTransformation &Trans, Vector &dofs) const

virtual void	ProjectDelta (int vertex, Vector &dofs) const

virtual void	ProjectCurl (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &curl) const

virtual void	ProjectDiv (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &div) const

virtual	~FiniteElement ()

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

enum	{ VALUE, INTEGRAL, H_DIV, H_CURL }

Protected Member Functions inherited from mfem::VectorFiniteElement
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	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	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 double *nk, const Array< int > &d2n, ElementTransformation &Trans, DenseMatrix &I) const

void	LocalInterpolation_ND (const double *tk, const Array< int > &d2t, ElementTransformation &Trans, DenseMatrix &I) const

Protected Attributes inherited from mfem::VectorFiniteElement
DenseMatrix	J

DenseMatrix	Jinv

DenseMatrix	vshape

DenseMatrix	curlshape

DenseMatrix	curlshape_J

Protected Attributes inherited from mfem::FiniteElement
int	Dim

int	GeomType

int	Dof

int	Order

int	FuncSpace

int	RangeType

int	MapType

IntegrationRule	Nodes

Detailed Description

Definition at line 1898 of file fe.hpp.

Constructor & Destructor Documentation

mfem::ND_QuadrilateralElement::ND_QuadrilateralElement ( const int p )

Definition at line 10354 of file fe.cpp.

Member Function Documentation

void mfem::ND_QuadrilateralElement::CalcCurlShape	(	const IntegrationPoint &	ip,
		DenseMatrix &	curl_shape
	)		const

virtual

pure virtual function which evaluates the values of the curl all shape functions at a given point ip and stores them in the matrix curl_shape (Dof x Dim) so that each row contains the curl of one shape function

Reimplemented from mfem::FiniteElement.

Definition at line 10489 of file fe.cpp.

void mfem::ND_QuadrilateralElement::CalcVShape	(	const IntegrationPoint &	ip,
		DenseMatrix &	shape
	)		const

virtual

This virtual function evaluates the values of all components of all shape functions at the given IntegrationPoint. The result is stored in the DenseMatrix shape (Dof x Dim) so that each row contains the components of one shape function.

Reimplemented from mfem::FiniteElement.

Definition at line 10440 of file fe.cpp.

virtual void mfem::ND_QuadrilateralElement::CalcVShape	(	ElementTransformation &	Trans,
		DenseMatrix &	shape
	)		const

inlinevirtual

Reimplemented from mfem::FiniteElement.

Definition at line 1913 of file fe.hpp.

virtual void mfem::ND_QuadrilateralElement::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 1918 of file fe.hpp.

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

inlinevirtual

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 1922 of file fe.hpp.

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

inlinevirtual

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 1925 of file fe.hpp.

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

inlinevirtual

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 1929 of file fe.hpp.

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

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation