#include <fe.hpp>

Inherits mfem::ScalarFiniteElement.

Inherited by mfem::BiQuadPos2DFiniteElement, mfem::H1Pos_HexahedronElement, mfem::H1Pos_QuadrilateralElement, mfem::H1Pos_SegmentElement, mfem::H1Pos_TetrahedronElement, mfem::H1Pos_TriangleElement, mfem::L2Pos_HexahedronElement, mfem::L2Pos_QuadrilateralElement, mfem::L2Pos_SegmentElement, mfem::L2Pos_TetrahedronElement, mfem::L2Pos_TriangleElement, and mfem::QuadPos1DFiniteElement.

Collaboration diagram for mfem::PositiveFiniteElement:

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Public Member Functions
	PositiveFiniteElement (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 (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &I) const

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

void	SetMapType (int M)

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 reference space dimension for the finite element. More...

int	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. 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

virtual void	CalcShape (const IntegrationPoint &ip, Vector &shape) const =0
	Evaluate the values of all shape functions of a scalar finite element in reference space at the given point ip. More...

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...

virtual void	CalcDShape (const IntegrationPoint &ip, DenseMatrix &dshape) const =0
	Evaluate the gradients of all shape functions of a scalar finite element in reference space at the given point ip. 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 &h) 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	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	~FiniteElement ()

Protected Member Functions
void	PositiveLocalInterpolation (ElementTransformation &Trans, DenseMatrix &I, const PositiveFiniteElement &fine_fe) const

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 int	VerifyClosed (int pt_type)

static int	VerifyOpen (int pt_type)

Protected Attributes inherited from mfem::FiniteElement
int	Dim
	Dimension of reference space. More...

int	GeomType
	Geometry::Type of the reference element. More...

int	Dof
	Number of degrees of freedom. More...

int	Order
	Order/degree of the shape functions. More...

int	FuncSpace

int	RangeType

int	MapType

int	DerivType

int	DerivRangeType

int	DerivMapType

IntegrationRule	Nodes

DenseMatrix	vshape

Detailed Description

Definition at line 370 of file fe.hpp.

Constructor & Destructor Documentation

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

inline

Definition at line 378 of file fe.hpp.

Member Function Documentation

virtual void mfem::PositiveFiniteElement::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.

Reimplemented in mfem::BiQuadPos2DFiniteElement.

Definition at line 383 of file fe.hpp.

void mfem::PositiveFiniteElement::PositiveLocalInterpolation	(	ElementTransformation &	Trans,
		DenseMatrix &	I,
		const PositiveFiniteElement &	fine_fe
	)		const

protected

Definition at line 405 of file fe.cpp.

void mfem::PositiveFiniteElement::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.

Reimplemented in mfem::BiQuadPos2DFiniteElement.

Definition at line 445 of file fe.cpp.

void mfem::PositiveFiniteElement::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 456 of file fe.cpp.

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

Public Member Functions

Protected Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation