#include <bf_partialderiv.hh>

Inheritance diagram for hp2D::BilinearFormTwoPartDeriv< F >:

Public Member Functions
	BilinearFormTwoPartDeriv (const enum partDerivType i, const enum partDerivType j, const concepts::ElementFormulaContainer< F > frm=concepts::ElementFormulaContainer< F >())

virtual BilinearFormTwoPartDeriv< F > *	clone () const

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

virtual void	operator() (const Element< G > &elmX, const Element< G > &elmY, ElementMatrix< F > &em) const =0

virtual void	operator() (const Element< G > &elmX, const Element< G > &elmY, ElementMatrix< F > &em, const ElementPair< G > &ep) const

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.

Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.

void	computeIntermediate_ (const BaseQuad< Real > &elm, const int i=-1, const int j=-1) const

Protected Attributes
concepts::Array< F >	intermediateValue_

concepts::Array< concepts::Mapping< G, 2 > >	intermediateMatrix_

concepts::ElementFormulaContainer< F >	frm_
	Element formula.

concepts::ElementFormulaContainer< concepts::Mapping< G, 2 > >	frmM_
	Matrix element formula.

Detailed Description

template<class F = Real>
class hp2D::BilinearFormTwoPartDeriv< F >

A function class to calculate element matrices for the bilinear form related to a partial derivative of the trial and (!) test functions (scalar).

The shape functions on the physical cell are defined by standard mapping local shape functions defined on the reference square $\hat{K}$ .

$\int\limits_{K} f(\xi)\partial_j u \partial_i v \; d\xi = \int\limits_{\hat{K}} f(F_K\hat{\xi})\nabla{\hat{u}} (J^{-1})_{\cdot,j}(J^{-\top})_{i,\cdot}\nabla{\hat{v}} \;|\det J| \; d\hat{\xi}$

The class can be used to construct other bilinear forms, also for vectorial functions.

See also: vectorial::BilinearForm

Author: Kersten Schmidt, 2010

Definition at line 151 of file bf_partialderiv.hh.

Constructor & Destructor Documentation

◆ BilinearFormTwoPartDeriv()

template<class F = Real>

hp2D::BilinearFormTwoPartDeriv< F >::BilinearFormTwoPartDeriv	(	const enum partDerivType	i,
		const enum partDerivType	j,
		const concepts::ElementFormulaContainer< F >	frm = `concepts::ElementFormulaContainer< F >()`
	)

Constructor

Parameters

i	Direction of the partial derivative of the test function, X for and Y for .
j	Direction of the partial derivative of the trial function.

◆ ~BilinearFormTwoPartDeriv()

template<class F = Real>

virtual hp2D::BilinearFormTwoPartDeriv< F >::~BilinearFormTwoPartDeriv ( )

inlinevirtual

Definition at line 166 of file bf_partialderiv.hh.

Member Function Documentation

◆ clone()

template<class F = Real>

virtual BilinearFormTwoPartDeriv< F > * hp2D::BilinearFormTwoPartDeriv< F >::clone ( ) const

inlinevirtual

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

Implements concepts::BilinearForm< F, G >.

Definition at line 168 of file bf_partialderiv.hh.

◆ computeIntermediate_()

template<class F , class G = typename concepts::Realtype<F>::type>

void hp2D::BilinearFormHelper_1_1< F, G >::computeIntermediate_	(	const BaseQuad< Real > &	elm,
		const int	i = `-1`,
		const int	j = `-1`
	)		const

protectedinherited

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.

◆ info()

template<class F = Real>

virtual std::ostream & hp2D::BilinearFormTwoPartDeriv< F >::info ( std::ostream & os ) const

protectedvirtual

Returns information in an output stream.

Reimplemented from concepts::BilinearForm< F, G >.

◆ operator()() [1/2]

template<class F , class G = typename Realtype<F>::type>

virtual void concepts::BilinearForm< F, G >::operator()	(	const Element< G > &	elmX,
		const Element< G > &	elmY,
		ElementMatrix< F > &	em
	)		const

pure virtualinherited

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

Implemented in vectorial::BilinearForm< F, G >, concepts::BilinearFormLiCo< F, G >, concepts::BilinearFormContainer< F, G >, concepts::BilinearF_Sum< F, H, J, G >, and concepts::BilinearF_W< F, H, J, G >.

◆ operator()() [2/2]

template<class F , class G = typename Realtype<F>::type>

virtual void concepts::BilinearForm< F, G >::operator()	(	const Element< G > &	elmX,
		const Element< G > &	elmY,
		ElementMatrix< F > &	em,
		const ElementPair< G > &	ep
	)		const

inlinevirtualinherited

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.