Linear form in 2D. More...

#include <linearForm.hh>

Inheritance diagram for hp2D::Riesz< F >:

Public Member Functions
concepts::RCP< concepts::SharedJacobianDet >	data () const
	Gets the pointer to the shared data. More...

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

void	operator() (const concepts::Element< Real > &elm, concepts::ElementMatrix< F > &em) const
	Computes the element load vector. More...

virtual void	operator() (const Element< typename Realtype< Real >::type > &elm, ElementMatrix< Real > &em) const=0
	Computes the element contribution to the function. More...

	Riesz (const concepts::ElementFormulaContainer< F > frm, concepts::BoundaryConditions *bc=0, bool ignoreMissingElem=false)
	Constructor. More...

	Riesz (const std::string &str, concepts::BoundaryConditions *bc=0, bool ignoreMissingElem=false)
	Contructor via a string of real valued Riesz. More...

virtual void	setBasis (Basis basis)

virtual	~Riesz ()

Public Attributes
Basis	basis_

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

virtual std::ostream &	info (std::ostream &os) const

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

concepts::Array< Real >	intermediateValue_
	Intermediate value (on each quadrature point) More...

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

Private Member Functions
void	operator() (const Quad< Real > &elm, concepts::ElementMatrix< F > &em) const

Private Attributes
concepts::BoundaryConditions *	bc_
	Reference to the boundary conditions. More...

bool	ignoreMissingElem

concepts::Array< Real >	jacobian_
	Intermediate data for element matrix computation. More...

Detailed Description

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

Linear form in 2D.

This linear form computes

$\int_K f v \, dx + \int_{\partial K \cap \Gamma_N} g v \, \mathrm{d}s.$

Currently only on quadrilaterals. The boundary integral is only correct for straigt boundaries.

Author: Kersten Schmidt, 2003

Examples: elasticity2D_tutorial.cc, howToGetStarted.cc, hpFEM2d-simple.cc, hpFEM2d.cc, inhomDirichletBCs.cc, inhomDirichletBCsLagrange.cc, and parallelizationTutorial.cc.

Definition at line 60 of file linearForm.hh.

Constructor & Destructor Documentation

◆ Riesz() [1/2]

template<class F = Real>

hp2D::Riesz< F >::Riesz	(	const concepts::ElementFormulaContainer< F >	frm,
		concepts::BoundaryConditions *	bc = `0`,
		bool	ignoreMissingElem = `false`
	)

Constructor.

Parameters

frm	The formula, given elementwise
bc	Boundary conditions, defaults to homogeneous

◆ Riesz() [2/2]

template<class F = Real>

hp2D::Riesz< F >::Riesz	(	const std::string &	str,
		concepts::BoundaryConditions *	bc = `0`,
		bool	ignoreMissingElem = `false`
	)

Contructor via a string of real valued Riesz.

This will be interpreted as a concepts::ParsedFormula

Parameters

frm	The formula, given as string

◆ ~Riesz()

template<class F = Real>

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

virtual

Member Function Documentation

◆ computeIntermediate_()

void hp2D::LinearFormHelper_0< Real >::computeIntermediate_ ( const BaseQuad< concepts::Real > & elm ) const

protectedinherited

Compute the intermediate data for element matrix computation.

This method is important for the derivated linear forms.

◆ data() [1/2]

concepts::RCP<concepts::SharedJacobianDet> hp2D::LinearFormHelper_0< Real >::data ( ) const

inherited

Gets the pointer to the shared data.

◆ data() [2/2]

void hp2D::LinearFormHelper_0< Real >::data ( const concepts::RCP< concepts::SharedJacobianDet > d )

inherited

Set the pointer to the shared data.

◆ info()

template<class F = Real>

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

protectedvirtual

Reimplemented from concepts::LinearForm< Real >.

◆ operator()() [1/3]

template<class F = Real>

void hp2D::Riesz< F >::operator()	(	const concepts::Element< Real > &	elm,
		concepts::ElementMatrix< F > &	em
	)		const

Computes the element load vector.

As for the computation of an element stiffness matrix, there are the loops over all quadrature points and the loops over all shape functions.

Parameters

elm	The element for which the load vector should be computed.
em	The load vector

◆ operator()() [2/3]

virtual void concepts::LinearForm< Real , typename Realtype<Real >::type >::operator()	(	const Element< G > &	elm,
		ElementMatrix< F > &	em
	)		const

pure virtualinherited

Computes the element contribution to the function.

Parameters

elm	Element on which the computations should be performed
em	The local matrix

◆ operator()() [3/3]

template<class F = Real>

void hp2D::Riesz< F >::operator()	(	const Quad< Real > &	elm,
		concepts::ElementMatrix< F > &	em
	)		const

private

◆ setBasis()

virtual void concepts::LinearFormChoice::setBasis ( Basis basis )

inlinevirtualinherited

Definition at line 68 of file linearForm.hh.

Member Data Documentation

◆ basis_

Basis concepts::LinearFormChoice::basis_

mutableinherited

Definition at line 71 of file linearForm.hh.

◆ bc_

template<class F = Real>

concepts::BoundaryConditions* hp2D::Riesz< F >::bc_

private

Reference to the boundary conditions.

Definition at line 106 of file linearForm.hh.

◆ frm_

concepts::ElementFormulaContainer<Real > hp2D::LinearFormHelper_0< Real >::frm_

protectedinherited

ElementFormula.

Definition at line 77 of file linearFormHelper.hh.

◆ ignoreMissingElem

template<class F = Real>

bool hp2D::Riesz< F >::ignoreMissingElem

private

Definition at line 107 of file linearForm.hh.

◆ intermediateValue_

concepts::Array<Real > hp2D::LinearFormHelper_0< Real >::intermediateValue_

mutableprotectedinherited

Intermediate value (on each quadrature point)

$f(F_K(\xi))^\top \det J$

Definition at line 74 of file linearFormHelper.hh.

◆ jacobian_

template<class F = Real>

concepts::Array<Real> hp2D::Riesz< F >::jacobian_

mutableprivate

Intermediate data for element matrix computation.

Definition at line 100 of file linearForm.hh.

◆ sharedData_

concepts::RCP<concepts::SharedJacobianDet> hp2D::LinearFormHelper_0< Real >::sharedData_

protectedinherited

Shared data for vectorial bilinear forms.

Definition at line 79 of file linearFormHelper.hh.

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

hp2D/linearForm.hh

hp2D::Riesz< F > Class Template Referenceabstract

Public Member Functions

Public Attributes

Protected Member Functions

Protected Attributes

Private Member Functions

Private Attributes

Detailed Description

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

Constructor & Destructor Documentation

◆ Riesz() [1/2]

◆ Riesz() [2/2]

◆ ~Riesz()

Member Function Documentation

◆ computeIntermediate_()

◆ data() [1/2]

◆ data() [2/2]

◆ info()

◆ operator()() [1/3]

◆ operator()() [2/3]

◆ operator()() [3/3]

◆ setBasis()

Member Data Documentation

◆ basis_

◆ bc_

◆ frm_

◆ ignoreMissingElem

◆ intermediateValue_

◆ jacobian_

◆ sharedData_

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