A function class to calculate element matrices for the mass matrix. More...

#include <bilinearForm.hh>

Inheritance diagram for hp2Dedge::Identity:

Collaboration diagram for hp2Dedge::Identity:

Public Member Functions
virtual Identity *	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.
	Identity (const concepts::ElementFormulaContainer< Real > frm=concepts::ElementFormulaContainer< Real >())
	Constructor.
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 Quad< Real > &elmX, const Quad< Real > &elmY, concepts::ElementMatrix< Real > &em)
void	operator() (const concepts::Element< Real > &elmX, const concepts::Element< 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`.
virtual	~Identity ()
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.

Detailed Description

A function class to calculate element matrices for the mass matrix.

Author:: Kersten Schmidt, 2003

Definition at line 72 of file bilinearForm.hh.

Constructor & Destructor Documentation

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

Constructor.

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

Definition at line 78 of file bilinearForm.hh.

Member Function Documentation

virtual Identity* hp2Dedge::Identity::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 79 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::Identity::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::Identity::operator()	(	const concepts::Element< Real > &	elmX,
		const concepts::Element< Real > &	elmY,
		concepts::ElementMatrix< Real > &	em
	)

void hp2Dedge::Identity::operator()	(	const Quad< Real > &	elmX,
		const Quad< 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]`

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

If this method is not reimplemented in a derived class, the default behaviour is to call the application operator without ep.

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

Parameters:

elmX	Left element
elmY	Right element
em	Return element matrix
ep	Element pair holding more information on the pair `elmX` and `elmY`

Definition at line 53 of file bilinearForm.hh.

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Member Data Documentation

concepts::ElementFormulaContainer<Real > hp2D::BilinearFormHelper_1_1< Real , typename concepts::Realtype<Real >::type >::frm_ [protected, inherited]

Element formula.

Definition at line 216 of file bilinearFormHelper.hh.

concepts::ElementFormulaContainer<concepts::Mapping<typename concepts::Realtype<Real >::type ,2> > hp2D::BilinearFormHelper_1_1< Real , typename concepts::Realtype<Real >::type >::frmM_ [protected, inherited]

Matrix element formula.

Definition at line 218 of file bilinearFormHelper.hh.

concepts::Array<concepts::Mapping<typename concepts::Realtype<Real >::type ,2> > hp2D::BilinearFormHelper_1_1< Real , typename concepts::Realtype<Real >::type >::intermediateMatrix_ [protected, inherited]

Intermediate matrix.

In case of a scalar formula:

$\mbox{adj}(J) \mbox{adj}(J)^\top$

In case of a matrix formula $M$ :

$\mbox{adj}(J) M \mbox{adj}(J)^\top$

In case of partial Jacobian:

$\mbox{adj}(J)_{\cdot,j} (\mbox{adj}(J)_{\cdot,i})^\top$

Definition at line 214 of file bilinearFormHelper.hh.

concepts::Array<Real > hp2D::BilinearFormHelper_1_1< Real , typename concepts::Realtype<Real >::type >::intermediateValue_ [protected, inherited]

Intermediate value.

In case of a scalar formula:

$\frac{f(F_K(\xi))}{\det J}$

In case of a matrix formula:

$\frac{1}{\det J}$

Definition at line 202 of file bilinearFormHelper.hh.

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

hp2Dedge/bilinearForm.hh

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation