#include <fe.hpp>

Inheritance diagram for RT_HexahedronElement:

Collaboration diagram for RT_HexahedronElement:

Public Member Functions
	RT_HexahedronElement (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	ProjectCurl (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &curl) const
Private Attributes
Poly_1D::Basis &	cbasis1d
Poly_1D::Basis &	obasis1d
Vector	shape_cx
Vector	shape_ox
Vector	shape_cy
Vector	shape_oy
Vector	shape_cz
Vector	shape_oz
Vector	dshape_cx
Vector	dshape_cy
Vector	dshape_cz
Array< int >	dof_map
Array< int >	dof2nk
Static Private Attributes
static const double	nk [18]

Detailed Description

Definition at line 1437 of file fe.hpp.

Constructor & Destructor Documentation

RT_HexahedronElement::RT_HexahedronElement ( const int p )

Definition at line 7176 of file fe.cpp.

References Poly_1D::ClosedPoints(), FiniteElement::Dof, dof2nk, dof_map, dshape_cx, dshape_cy, dshape_cz, IntegrationRule::IntPoint(), FiniteElement::Nodes, Poly_1D::OpenPoints(), IntegrationPoint::Set3(), Vector::SetSize(), shape_cx, shape_cy, shape_cz, shape_ox, shape_oy, and shape_oz.

Member Function Documentation

void RT_HexahedronElement::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 7381 of file fe.cpp.

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

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

Reimplemented from FiniteElement.

Definition at line 1452 of file fe.hpp.

References VectorFiniteElement::CalcVShape_RT().

void RT_HexahedronElement::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 7319 of file fe.cpp.

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

virtual void RT_HexahedronElement::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 1457 of file fe.hpp.

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

virtual void RT_HexahedronElement::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 1461 of file fe.hpp.

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

virtual void RT_HexahedronElement::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 1464 of file fe.hpp.

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

virtual void RT_HexahedronElement::ProjectCurl	(	const FiniteElement &	fe,
		ElementTransformation &	Trans,
		DenseMatrix &	curl
	)		const `[inline, virtual]`

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 FiniteElement.

Definition at line 1467 of file fe.hpp.

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

Member Data Documentation

Poly_1D::Basis& RT_HexahedronElement::cbasis1d [private]

Definition at line 1441 of file fe.hpp.

Referenced by CalcDivShape(), and CalcVShape().

Array<int> RT_HexahedronElement::dof2nk [private]

Definition at line 1446 of file fe.hpp.

Referenced by GetLocalInterpolation(), Project(), ProjectCurl(), and RT_HexahedronElement().

Array<int> RT_HexahedronElement::dof_map [private]

Definition at line 1446 of file fe.hpp.

Referenced by CalcDivShape(), CalcVShape(), and RT_HexahedronElement().

Vector RT_HexahedronElement::dshape_cx [mutable, private]

Definition at line 1444 of file fe.hpp.

Referenced by CalcDivShape(), and RT_HexahedronElement().

Vector RT_HexahedronElement::dshape_cy [mutable, private]

Definition at line 1444 of file fe.hpp.

Referenced by CalcDivShape(), and RT_HexahedronElement().

Vector RT_HexahedronElement::dshape_cz [mutable, private]

Definition at line 1444 of file fe.hpp.

Referenced by CalcDivShape(), and RT_HexahedronElement().

const double RT_HexahedronElement::nk [static, private]

Initial value:

{ 0.,0.,-1.,  0.,-1.,0.,  1.,0.,0.,  0.,1.,0.,  -1.,0.,0.,  0.,0.,1. }

Definition at line 1439 of file fe.hpp.

Referenced by GetLocalInterpolation(), Project(), and ProjectCurl().

Poly_1D::Basis & RT_HexahedronElement::obasis1d [private]

Definition at line 1441 of file fe.hpp.

Referenced by CalcDivShape(), and CalcVShape().

Vector RT_HexahedronElement::shape_cx [mutable, private]