#include <fe.hpp>

Inheritance diagram for mfem::RT_QuadrilateralElement:

Collaboration diagram for mfem::RT_QuadrilateralElement:

Public Member Functions
	RT_QuadrilateralElement (const int p, const int cb_type=BasisType::GaussLobatto, const int ob_type=BasisType::GaussLegendre)

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...

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...

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 (VectorCoefficient &vc, ElementTransformation &Trans, Vector &dofs) const

virtual void	ProjectMatrixCoefficient (MatrixCoefficient &mc, ElementTransformation &T, 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

Public Member Functions inherited from mfem::VectorFiniteElement
	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

void	CalcPhysVShape (ElementTransformation &Trans, DenseMatrix &shape) const
	Equivalent to the CalcVShape() method with the same arguments. 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 (Coefficient &coeff, ElementTransformation &Trans, Vector &dofs) const

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

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)

Protected Member Functions inherited from mfem::VectorFiniteElement
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 inherited from mfem::VectorFiniteElement
static const VectorFiniteElement &	CheckVectorFE (const FiniteElement &fe)

Protected Attributes inherited from mfem::VectorFiniteElement
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...

Detailed Description

Definition at line 2371 of file fe.hpp.

Constructor & Destructor Documentation

mfem::RT_QuadrilateralElement::RT_QuadrilateralElement	(	const int	p,
		const int	cb_type = `BasisType::GaussLobatto`,
		const int	ob_type = `BasisType::GaussLegendre`
	)

Definition at line 9882 of file fe.cpp.

Member Function Documentation

void mfem::RT_QuadrilateralElement::CalcDivShape	(	const IntegrationPoint &	ip,
		Vector &	divshape
	)		const

virtual

Evaluate the divergence of all shape functions of a vector finite element in reference space at the given point ip.

The size (Dof) of the result Vector divshape must be set in advance.

Reimplemented from mfem::FiniteElement.

Definition at line 10043 of file fe.cpp.

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

virtual

Evaluate the values of all shape functions of a vector finite element in reference space at the given point ip.

Each row of the result DenseMatrix shape contains the components of one vector shape function. The size (Dof x Dim) of shape must be set in advance.

Reimplemented from mfem::FiniteElement.

Definition at line 9996 of file fe.cpp.

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

inlinevirtual

Evaluate the values of all shape functions of a vector finite element in physical space at the point described by Trans.

Each row of the result DenseMatrix shape contains the components of one vector shape function. The size (Dof x SDim) of shape must be set in advance, where SDim >= Dim is the physical space dimension as described by Trans.

Reimplemented from mfem::FiniteElement.

Definition at line 2389 of file fe.hpp.

virtual void mfem::RT_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 2394 of file fe.hpp.

virtual void mfem::RT_QuadrilateralElement::GetLocalRestriction	(	ElementTransformation &	Trans,
		DenseMatrix &	R
	)		const

inlinevirtual

Return a local restriction matrix R (Dof x Dof) mapping fine dofs to coarse dofs.

The fine element is the image of the base geometry under the given transformation, Trans.

The assumption in this method is that a subset of the coarse dofs can be expressed only in terms of the dofs of the given fine element.

Rows in R corresponding to coarse dofs that cannot be expressed in terms of the fine dofs will be marked as invalid by setting the first entry (column 0) in the row to infinity().

This method assumes that the dimensions of R are set before it is called.

Reimplemented from mfem::FiniteElement.

Definition at line 2397 of file fe.hpp.

virtual void mfem::RT_QuadrilateralElement::GetTransferMatrix	(	const FiniteElement &	fe,
		ElementTransformation &	Trans,
		DenseMatrix &	I
	)		const

inlinevirtual

Return interpolation matrix, I, which maps dofs from a coarse element, fe, to the fine dofs on this finite element.

Trans represents the mapping from the reference element of this element into a subset of the reference space of the element fe, thus allowing the "coarse" FiniteElement to be different from the "fine" FiniteElement as when h-refinement is combined with p-refinement or p-derefinement. It is assumed that both finite elements use the same MapType.

Reimplemented from mfem::FiniteElement.

Definition at line 2400 of file fe.hpp.

virtual void mfem::RT_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 2405 of file fe.hpp.

virtual void mfem::RT_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 2411 of file fe.hpp.

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

inlinevirtual

Compute the discrete curl 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 2420 of file fe.hpp.

virtual void mfem::RT_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 2415 of file fe.hpp.

virtual void mfem::RT_QuadrilateralElement::ProjectMatrixCoefficient	(	MatrixCoefficient &	mc,
		ElementTransformation &	T,
		Vector &	dofs
	)		const

inlinevirtual

Given a matrix coefficient and a transformation, compute an approximation ("projection") in the local finite dimensional space in terms of the degrees of freedom. For VectorFiniteElements, the rows of the coefficient are projected in the vector space.

Reimplemented from mfem::FiniteElement.

Definition at line 2408 of file fe.hpp.

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

fem/fe.hpp
fem/fe.cpp

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation