#include <fe.hpp>

Inheritance diagram for ND_QuadrilateralElement:

Collaboration diagram for 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
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 >	dof2tk
Static Private Attributes
static const double	tk [8]

Detailed Description

Definition at line 1590 of file fe.hpp.

Constructor & Destructor Documentation

ND_QuadrilateralElement::ND_QuadrilateralElement ( const int p )

Definition at line 8054 of file fe.cpp.

References Poly_1D::ClosedPoints(), FiniteElement::Dof, dof2tk, 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 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 FiniteElement.

Definition at line 8161 of file fe.cpp.

References mfem_error().

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

Reimplemented from FiniteElement.

Definition at line 1605 of file fe.hpp.

References VectorFiniteElement::CalcVShape_ND().

void 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 FiniteElement.

Definition at line 8120 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 ND_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 1610 of file fe.hpp.

References dof2tk, VectorFiniteElement::LocalInterpolation_ND(), and tk.

virtual void ND_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 1614 of file fe.hpp.

References dof2tk, VectorFiniteElement::Project_ND(), and tk.

virtual void ND_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 1617 of file fe.hpp.

References dof2tk, VectorFiniteElement::Project_ND(), and tk.

virtual void ND_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 1621 of file fe.hpp.

References dof2tk, VectorFiniteElement::ProjectGrad_ND(), and tk.