#include <fe.hpp>

Inheritance diagram for RT_QuadrilateralElement:

Collaboration diagram for RT_QuadrilateralElement:

Public Member Functions
	RT_QuadrilateralElement (const int p)
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	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
Private Attributes
Poly_1D::Basis &	cbasis1d
Poly_1D::Basis &	obasis1d
Vector	shape_cx
Vector	shape_ox
Vector	shape_cy
Vector	shape_oy
Vector	dshape_cx
Vector	dshape_cy
Array< int >	dof_map
Array< int >	dof2nk
Static Private Attributes
static const double	nk [8]

Detailed Description

Definition at line 1399 of file fe.hpp.

Constructor & Destructor Documentation

RT_QuadrilateralElement::RT_QuadrilateralElement ( const int p )

Definition at line 6996 of file fe.cpp.

References Poly_1D::ClosedPoints(), FiniteElement::Dof, dof2nk, dof_map, dshape_cx, dshape_cy, IntegrationRule::IntPoint(), FiniteElement::Nodes, Poly_1D::OpenPoints(), IntegrationPoint::Set2(), Vector::SetSize(), shape_cx, shape_cy, shape_ox, and shape_oy.

Member Function Documentation

void RT_QuadrilateralElement::CalcDivShape	(	const IntegrationPoint &	ip,
		Vector &	divshape
	)		const `[virtual]`

This virtual function evaluates the divergence of all shape functions at the given IntegrationPoint. The result is stored in the Vector divshape (of size Dof).

Reimplemented from FiniteElement.

Definition at line 7134 of file fe.cpp.

References cbasis1d, dof_map, dshape_cx, dshape_cy, Poly_1D::Basis::Eval(), obasis1d, FiniteElement::Order, shape_cx, shape_cy, shape_ox, shape_oy, IntegrationPoint::x, and IntegrationPoint::y.

virtual void RT_QuadrilateralElement::CalcVShape	(	ElementTransformation &	Trans,
		DenseMatrix &	shape
	)		const `[inline, virtual]`

Reimplemented from FiniteElement.

Definition at line 1415 of file fe.hpp.

References VectorFiniteElement::CalcVShape_RT().

void RT_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 FiniteElement.

Definition at line 7095 of file fe.cpp.

References cbasis1d, dof_map, Poly_1D::Basis::Eval(), obasis1d, FiniteElement::Order, shape_cx, shape_cy, shape_ox, shape_oy, IntegrationPoint::x, and IntegrationPoint::y.

virtual void RT_QuadrilateralElement::GetLocalInterpolation	(	ElementTransformation &	Trans,
		DenseMatrix &	I
	)		const `[inline, virtual]`

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 FiniteElement.

Definition at line 1420 of file fe.hpp.

References dof2nk, VectorFiniteElement::LocalInterpolation_RT(), and nk.

virtual void RT_QuadrilateralElement::Project	(	VectorCoefficient &	vc,
		ElementTransformation &	Trans,
		Vector &	dofs
	)		const `[inline, 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 FiniteElement.

Definition at line 1424 of file fe.hpp.

References dof2nk, nk, and VectorFiniteElement::Project_RT().

virtual void RT_QuadrilateralElement::Project	(	const FiniteElement &	fe,
		ElementTransformation &	Trans,
		DenseMatrix &	I
	)		const `[inline, 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 FiniteElement.

Definition at line 1427 of file fe.hpp.

References dof2nk, nk, and VectorFiniteElement::Project_RT().

virtual void RT_QuadrilateralElement::ProjectGrad	(	const FiniteElement &	fe,
		ElementTransformation &	Trans,
		DenseMatrix &	grad
	)		const `[inline, 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 FiniteElement.

Definition at line 1430 of file fe.hpp.

References dof2nk, nk, and VectorFiniteElement::ProjectGrad_RT().