A function class to calculate element matrices for the bilinear form. More...

#include <bilinearForm.hh>

Inheritance diagram for hp2Dedge::Graduv:

Collaboration diagram for hp2Dedge::Graduv:

Public Member Functions
virtual Graduv *	clone () const
	Virtual constructor.
void	data (const concepts::RCP< concepts::SharedJacobianAdj< 2 > > d)
	Set the pointer to the shared data.
concepts::RCP < concepts::SharedJacobianAdj< 2 > >	data () const
	Gets the pointer to the shared data.
	Graduv (const concepts::ElementFormulaContainer< Real > frm=concepts::ElementFormulaContainer< Real >())
virtual void	operator() (const Element< typename Realtype< Real >::type > &elmX, const Element< typename Realtype< Real >::type > &elmY, ElementMatrix< Real > &em)=0
	Evaluates the bilinear form for all shape functions on `elmX` and `elmY` and stores the result in the matrix `em`.
void	operator() (const hp2D::Quad< Real > &elmX, const Quad< Real > &elmY, concepts::ElementMatrix< Real > &em)
virtual void	operator() (const Element< typename Realtype< Real >::type > &elmX, const Element< typename Realtype< Real >::type > &elmY, ElementMatrix< Real > &em, const ElementPair< typename Realtype< Real >::type > &ep)
	Evaluates the bilinear form for all shape functions on `elmX` and `elmY` and stores the result in the matrix `em`.
void	operator() (const concepts::Element< Real > &elmX, const concepts::Element< Real > &elmY, concepts::ElementMatrix< Real > &em)
virtual	~Graduv ()
Protected Member Functions
void	computeIntermediate_ (const BaseQuad< Real > &elm, const int i=-1, const int j=-1)
	Compute the intermediate data for element matrix computation.
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.
Protected Attributes
concepts::ElementFormulaContainer < Real >	frm_
	Element formula.
concepts::ElementFormulaContainer < concepts::Mapping< typename concepts::Realtype< Real > ::type, 2 > >	frmM_
	Matrix element formula.
concepts::Array < concepts::Mapping< typename concepts::Realtype< Real > ::type, 2 > >	intermediateMatrix_
	Intermediate matrix.
concepts::Array< Real >	intermediateValue_
	Intermediate value.
Private Attributes
concepts::Array< Real >	factor_
	Intermediate data for element matrix computation.
concepts::Array < concepts::MapReal2d >	jacobianInv_

Detailed Description

A function class to calculate element matrices for the bilinear form.

$\int\limits_{K}\underline{u}^\top\;\nabla{v}\;d\underline{\xi} = \int\limits_{\hat{K}}\underline{\hat{u}}^\top J^{-1}J^{-\top}\;\nabla{\hat{v}}|\det J|\;d\underline{\hat{\xi}}$

Author:: Kersten Schmidt, 2005

Definition at line 97 of file bilinearForm.hh.

Constructor & Destructor Documentation

hp2Dedge::Graduv::Graduv ( const concepts::ElementFormulaContainer< Real > frm = concepts::ElementFormulaContainer< Real >() )

virtual hp2Dedge::Graduv::~Graduv ( ) [inline, virtual]

Definition at line 102 of file bilinearForm.hh.

Member Function Documentation

virtual Graduv* hp2Dedge::Graduv::clone ( ) const [inline, virtual]

Virtual constructor.

Returns a pointer to a copy of itself. The caller is responsible to destroy this copy.

Implements concepts::Cloneable.

Definition at line 108 of file bilinearForm.hh.

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void hp2D::BilinearFormHelper_1_1< Real , typename concepts::Realtype<Real >::type >::computeIntermediate_	(	const BaseQuad< Real > &	elm,
		const int	i = `-1`,
		const int	j = `-1`
	)		`[protected, inherited]`

Compute the intermediate data for element matrix computation.

Parameters:

i	if i=0 or 1, then take only i-th column of Jacobian matrix (for test function)
j	if j=0 or 1, then take only j-th column of Jacobian matrix (for trial function)

The Jacobian matrices have to been taken both full (i,j = -1) or both partial (i,j = 0 or 1).

Matrix formulas and complex valued scalar formulas are only implemented for full Jacobians.

concepts::RCP<concepts::SharedJacobianAdj<2> > hp2D::BilinearFormHelper_1_1< Real , typename concepts::Realtype<Real >::type >::data ( ) const [inherited]

Gets the pointer to the shared data.

void hp2D::BilinearFormHelper_1_1< Real , typename concepts::Realtype<Real >::type >::data ( const concepts::RCP< concepts::SharedJacobianAdj< 2 > > d ) [inherited]

Set the pointer to the shared data.

virtual std::ostream& hp2Dedge::Graduv::info ( std::ostream & os ) const [protected, virtual]

Returns information in an output stream.

Reimplemented from concepts::BilinearForm< Real >.

virtual void concepts::BilinearForm< Real , typename Realtype<Real >::type >::operator()	(	const Element< typename Realtype<Real >::type > &	elmX,
		const Element< typename Realtype<Real >::type > &	elmY,
		ElementMatrix< Real > &	em
	)		`[pure virtual, inherited]`

Evaluates the bilinear form for all shape functions on elmX and elmY and stores the result in the matrix em.

Postcondition:: The returned matrix em has the correct size.

Parameters:

elmX	Left element (test functions)
elmY	Right element (trial functions)
em	Return element matrix

void hp2Dedge::Graduv::operator()	(	const hp2D::Quad< Real > &	elmX,
		const Quad< Real > &	elmY,
		concepts::ElementMatrix< Real > &	em
	)

void hp2Dedge::Graduv::operator()	(	const concepts::Element< Real > &	elmX,
		const concepts::Element< Real > &	elmY,
		concepts::ElementMatrix< Real > &	em
	)

virtual void concepts::BilinearForm< Real , typename Realtype<Real >::type >::operator()	(	const Element< typename Realtype<Real >::type > &	elmX,
		const Element< typename Realtype<Real >::type > &	elmY,
		ElementMatrix< Real > &	em,
		const ElementPair< typename Realtype<Real >::type > &	ep
	)		`[inline, virtual, inherited]`