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

#include <bf_partialderiv.hh>

Inheritance diagram for hp2D::BilinearFormOnePartDeriv< F >:

Public Member Functions
	BilinearFormOnePartDeriv (const enum partDerivType i, const concepts::ElementFormulaContainer< F > frm=concepts::ElementFormulaContainer< F >())
	Constructor. More...

virtual BilinearFormOnePartDeriv< F > *	clone () const
	Virtual constructor. More...

virtual BilinearForm *	clone () const=0
	Virtual constructor. More...

concepts::RCP< concepts::SharedJacobianAdj< 2 > >	data () const
	Gets the pointer to the shared data. More...

void	data (const concepts::RCP< concepts::SharedJacobianAdj< 2 > > d)
	Set the pointer to the shared data. More...

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

virtual void	operator() (const Element< typename Realtype< Real >::type > &elmX, const Element< typename Realtype< Real >::type > &elmY, ElementMatrix< Real > &em) const=0
	Evaluates the bilinear form for all shape functions on `elmX` and `elmY` and stores the result in the matrix `em`. More...

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

virtual	~BilinearFormOnePartDeriv ()

Protected Member Functions
void	computeIntermediate_ (const BaseQuad< concepts::Real > &elm, const int i) const
	Compute the intermediate data for element matrix computation. More...

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

Protected Attributes
concepts::ElementFormulaContainer< Real >	frm_
	ElementFormula. More...

ArrayElementFormula< concepts::Point< Real, 2 > >	intermediateVector_
	Intermediate vector (on each quadrature point) More...

concepts::RCP< concepts::SharedJacobianAdj< 2 > >	sharedData_
	Shared data for vectorial bilinear forms. More...

Private Member Functions
bool	operator() (const hp2D::Quad< Real > elmX, const hp2D::Quad< Real > elmY, concepts::ElementMatrix< F > &em) const
	Assembling for hp2D::Quad. More...

bool	operator() (const InfiniteLaguerreQuad elmX, const InfiniteLaguerreQuad elmY, concepts::ElementMatrix< F > &em) const

Private Attributes
enum partDerivType	i_
	Component of the test function. More...

concepts::ElementMatrix< Real >	mass1D_

concepts::ElementMatrix< Real >	stiff1D_
	Local 1D stiffness and mass matrices for Karniadakis basis. More...

Detailed Description

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

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

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

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

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 85 of file bf_partialderiv.hh.

Constructor & Destructor Documentation

◆ BilinearFormOnePartDeriv()

template<class F = Real>

hp2D::BilinearFormOnePartDeriv< F >::BilinearFormOnePartDeriv	(	const enum partDerivType	i,
		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 .

◆ ~BilinearFormOnePartDeriv()

template<class F = Real>

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

inlinevirtual

Definition at line 98 of file bf_partialderiv.hh.

Member Function Documentation

◆ clone() [1/2]

template<class F = Real>

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

inlinevirtual

Virtual constructor.

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

Implements concepts::Cloneable.

Definition at line 100 of file bf_partialderiv.hh.

◆ clone() [2/2]

virtual BilinearForm* concepts::BilinearForm< Real , typename Realtype<Real >::type >::clone

pure virtualinherited

Virtual constructor.

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

◆ computeIntermediate_()

void hp2D::BilinearFormHelper_0_1_Part< Real >::computeIntermediate_	(	const BaseQuad< concepts::Real > &	elm,
		const int	i
	)		const

protectedinherited

Compute the intermediate data for element matrix computation.

Parameters

i	take only i-th column of Jacobian matrix (for test function)

This method is important for the derivated bilinear forms.

◆ data() [1/2]

concepts::RCP<concepts::SharedJacobianAdj<2> > hp2D::BilinearFormHelper_0_1_Part< Real >::data

inherited

Gets the pointer to the shared data.

◆ data() [2/2]

void hp2D::BilinearFormHelper_0_1_Part< Real >::data ( const concepts::RCP< concepts::SharedJacobianAdj< 2 > > d )

inherited

Set the pointer to the shared data.

◆ info()

template<class F = Real>

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

protectedvirtual

Returns information in an output stream.

Reimplemented from concepts::BilinearForm< Real >.

◆ operator()() [1/5]

template<class F = Real>

virtual void hp2D::BilinearFormOnePartDeriv< F >::operator()	(	const concepts::Element< Real > &	elmX,
		const concepts::Element< Real > &	elmY,
		concepts::ElementMatrix< F > &	em
	)		const

virtual

◆ operator()() [2/5]

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

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

◆ operator()() [3/5]

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
	)		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.

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 57 of file bilinearForm.hh.

◆ operator()() [4/5]

template<class F = Real>

bool hp2D::BilinearFormOnePartDeriv< F >::operator()	(	const hp2D::Quad< Real > *	elmX,
		const hp2D::Quad< Real > *	elmY,
		concepts::ElementMatrix< F > &	em
	)		const

private

Assembling for hp2D::Quad.

◆ operator()() [5/5]

template<class F = Real>

bool hp2D::BilinearFormOnePartDeriv< F >::operator()	(	const InfiniteLaguerreQuad *	elmX,
		const InfiniteLaguerreQuad *	elmY,
		concepts::ElementMatrix< F > &	em
	)		const

private

Member Data Documentation

◆ frm_

concepts::ElementFormulaContainer<Real > hp2D::BilinearFormHelper_0_1_Part< Real >::frm_

protectedinherited

ElementFormula.

Definition at line 103 of file bilinearFormHelper.hh.

◆ i_

template<class F = Real>

enum partDerivType hp2D::BilinearFormOnePartDeriv< F >::i_

private

Component of the test function.

Definition at line 109 of file bf_partialderiv.hh.

◆ intermediateVector_

ArrayElementFormula<concepts::Point<Real ,2> > hp2D::BilinearFormHelper_0_1_Part< Real >::intermediateVector_

mutableprotectedinherited

Intermediate vector (on each quadrature point)

$\underline{f}(F_K(\xi))(\mbox{adj}(J)_{\cdot,i})^\top$

Definition at line 101 of file bilinearFormHelper.hh.

◆ mass1D_

template<class F = Real>

concepts::ElementMatrix<Real> hp2D::BilinearFormOnePartDeriv< F >::mass1D_

private

Definition at line 115 of file bf_partialderiv.hh.

◆ sharedData_

concepts::RCP<concepts::SharedJacobianAdj<2> > hp2D::BilinearFormHelper_0_1_Part< Real >::sharedData_

protectedinherited

Shared data for vectorial bilinear forms.

Definition at line 106 of file bilinearFormHelper.hh.

◆ stiff1D_

template<class F = Real>

concepts::ElementMatrix<Real> hp2D::BilinearFormOnePartDeriv< F >::stiff1D_

private

Local 1D stiffness and mass matrices for Karniadakis basis.

Definition at line 115 of file bf_partialderiv.hh.

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

hp2D/bf_partialderiv.hh

hp2D::BilinearFormOnePartDeriv< F > Class Template Referenceabstract

Public Member Functions

Protected Member Functions

Protected Attributes

Private Member Functions

Private Attributes

Detailed Description

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

Constructor & Destructor Documentation

◆ BilinearFormOnePartDeriv()

◆ ~BilinearFormOnePartDeriv()

Member Function Documentation

◆ clone() [1/2]

◆ clone() [2/2]

◆ computeIntermediate_()

◆ data() [1/2]

◆ data() [2/2]

◆ info()

◆ operator()() [1/5]

◆ operator()() [2/5]

◆ operator()() [3/5]

◆ operator()() [4/5]

◆ operator()() [5/5]

Member Data Documentation

◆ frm_

◆ i_

◆ intermediateVector_

◆ mass1D_

◆ sharedData_

◆ stiff1D_

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