Base class for piecewise defined formula, which are a function of a FE function. More...

#include <formula.hh>

Inheritance diagram for concepts::PiecewiseFormulaVectorBase< F, G, H, I >:

Public Types
typedef concepts::Realtype< H >::type	G

typedef H	value_type

Public Member Functions
virtual Cloneable *	clone () const =0
	Virtual constructor. More...

virtual PiecewiseFormulaBase< H > *	clone () const=0
	Virtual constructor. More...

virtual H &	dflt_value ()
	Gives default value. More...

virtual const H &	dflt_value () const
	Gives default value. More...

virtual H	operator() (const Connector &cntr, const Real p, const Real t=0.0) const=0
	Gives the value in an particular cell on a particular point. More...

virtual H	operator() (const Connector &cntr, const Real2d &p, const Real t=0.0) const=0

virtual H	operator() (const Connector &cntr, const Real3d &p, const Real t=0.0) const=0

virtual H	operator() (const ElementWithCell< concepts::Realtype< H >::type > &elm, const Real p, const Real t=0.0) const=0
	Evaluates the formula. More...

virtual H	operator() (const ElementWithCell< concepts::Realtype< H >::type > &elm, const Real2d &p, const Real t=0.0) const=0
	Evaluates the formula. More...

virtual H	operator() (const ElementWithCell< concepts::Realtype< H >::type > &elm, const Real3d &p, const Real t=0.0) const=0
	Evaluates the formula. More...

virtual H	operator() (const ElementWithCell< G > &elm, const Real p, const Real t=0.0) const

virtual H	operator() (const ElementWithCell< G > &elm, const Real2d &p, const Real t=0.0) const

virtual H	operator() (const ElementWithCell< G > &elm, const Real3d &p, const Real t=0.0) const

	PiecewiseFormulaVectorBase (const Space< G > &spc, const Vector< F > &coeff, const ElementFunction< I, G > &fun)
	Constructor. More...

Protected Member Functions
const ElementWithCell< G > *	element_ (const Connector &cell) const
	Returns pointer to the element to which the cell `cell` or one of their children belongs. More...

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

Protected Attributes
Array< F >	coeff_
	Solution vector. More...

std::map< uint, const ElementWithCell< G > * >	elm_
	Mapping from cell key to the element. More...

const ElementFunction< I, G > *	fun_
	Function of the FE function. More...

const Space< G > &	spc_
	Space. More...

Private Attributes
H	dflt_value_
	default value More...

Detailed Description

template<class F, class G, class H, class I>
class concepts::PiecewiseFormulaVectorBase< F, G, H, I >

Base class for piecewise defined formula, which are a function of a FE function.

Parameters

F	type of the coefficients
G	type of the space, i.e. that of the T matrices
H	type of the formula, is determined by derived classes
I	type of the element function

Author: Kersten Schmidt, 2005

Definition at line 33 of file formula.hh.

Member Typedef Documentation

◆ G

typedef concepts::Realtype<H >::type concepts::PiecewiseFormulaBase< H >::G

inherited

Definition at line 45 of file piecewiseFormula.hh.

◆ value_type

typedef H concepts::ElementFormula< H , concepts::Realtype< H >::type >::value_type

inherited

Definition at line 37 of file elementFormula.hh.

Constructor & Destructor Documentation

◆ PiecewiseFormulaVectorBase()

template<class F , class G , class H , class I >

concepts::PiecewiseFormulaVectorBase< F, G, H, I >::PiecewiseFormulaVectorBase	(	const Space< G > &	spc,
		const Vector< F > &	coeff,
		const ElementFunction< I, G > &	fun
	)

Constructor.

Definition at line 56 of file formula.hh.

Member Function Documentation

◆ clone() [1/2]

virtual Cloneable* concepts::Cloneable::clone ( ) const

pure virtualinherited

Virtual constructor.

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

Implemented in concepts::BilinearForm< F, G >, hp2D::PolyEdgeRule, concepts::Operation< F >, concepts::MappingEdge2d, concepts::ElementFormulaVectorBase< F, G, H, I >, concepts::PiecewiseFormulaBase< F >, concepts::ElementFormula< F, G >, concepts::ExplicitResidual< F >, concepts::LocalEstimator< F >, concepts::FormulaIncPlaneWaveSource, concepts::ComposeFormulaVecEntry< F, DIM, G >, concepts::ComposeFormulaMatVec< F, DIM, G >, concepts::FormulaNormalOuterSP2D< F >, concepts::FrmE_PMLTransformation< dim >, concepts::FormulaPMLHamburger, concepts::FormulaPMLCartNew, concepts::FormulaPMLRadia, concepts::FormulaPMLBoxRestriction< F, G >, concepts::FormulaPMLCart, concepts::FormulaPMLEdgeRadia, concepts::SourceFunctionF0_y, concepts::SourceFunctionF0_x, concepts::FrmE_ScalarProductNormalEdge2d< F >, concepts::ElementFormulaRotate2D< F >, concepts::ElementFormulaBoundary, concepts::ElementFormulaCompose< F, G, H >, concepts::ElementFormulaLiCo< F, G, H, J >, concepts::BilinearF_W< F, H, J, G >, concepts::BilinearF_Sum< F, H, J, G >, concepts::BilinearFormContainer< F, G >, concepts::BilinearFormLiCo< F, G >, linearFEM::Identity2d, linearFEM::Laplace2d, linearFEM::CIdentity1d, linearFEM::Identity1d, linearFEM::Laplace1d, linDG3D::LaplaceVolBF, linDG3D::Identity, linDG2D::LaplaceStabBf, linDG2D::LaplaceFluxBf, linDG2D::LaplaceVolBf, linDG2D::IdentityBf, linDG1D::BoundaryIntStab, linDG1D::BoundaryInt, hp3D::ElementFormulaVectorOnTrace< dim, F, G >, hp3D::RotRot, hp3D::MaxwellSharedData, hp3D::FormulaFromWeight< Weight >, hp3D::DivDiv< Weight >, hp3D::Advection< F >, hp3D::Identity< F >, hp3D::Laplace< F >, hp3D::BilinearFormTwoPartDeriv< F >, hp3D::LinearElasticity< F >, hp2Dedge::EdgeIdentity, hp2Dedge::Rotuv, hp2Dedge::RotRot< F >, hp2Dedge::IdentityMatrix< F >, hp2Dedge::Identity< F >, hp2Dedge::GraduvMatrix< F >, hp2Dedge::Graduv< F >, concepts::DirichletElementFormula< F, G >, hp2D::RotRot, hp2D::MaxwellSharedData, hp2D::FormulaFromWeight< Weight >, hp2D::ElementFormulaSignNormalVector, hp2D::ElementFormulaEdgeJump< F >, hp2D::ElementFormulaEdgeMean< F >, hp2D::ElementFormulaInterpGradN< F, 2 >, hp2D::ElementFormulaInterpGrad< F, 2 >, hp2D::H1Extension< F >, hp2D::PolyEdgeMinNeighMaxChild, hp2D::PolyEdgeMin, hp2D::PolyEdgeMax, hp2D::DivDiv< Weight >, hp2D::BilinearFormTwoPartDeriv< F >, hp2D::BilinearFormOnePartDeriv< F >, hp2D::LaplaceMatrix< F >, hp2D::Laplace< F >, hp2D::Identity< F >, hp2D::Advection< F >, hp1D::ElementFormulaInterpGrad< F >, hp1D::Mean2Jump1< F >, hp1D::Jump1Jump1< F >, hp1D::BiLaplace< F >, hp1D::IdentityParallel< F >, hp1D::Identity< F >, hp1D::Laplace< F >, concepts::SharedJacobianAdj< dim >, concepts::SharedJacobianDet, concepts::FrmE_NormalVector3d, concepts::FrmE_TangentialVector, concepts::FrmE_NormalVector, concepts::CurvatureElementFormula, concepts::PiecewiseFormulaCombine< F, G, H, I >, concepts::PiecewiseFormulaFun< F, G >, concepts::OpRecipr< F >, concepts::OpAdd< F >, concepts::OpMult< F >, concepts::PiecewiseElementFormula< F, G >, concepts::PiecewiseFormula< F >, concepts::PiecewiseConstDynArrayFormula< F >, concepts::PiecewiseConstFormula< F >, concepts::PiecewiseFormula0< F >, concepts::MappingQuadEdge2d, concepts::MappingParallelEdge2d, concepts::ParabelMappingEdge2d, concepts::EllipseMappingEdge2d, concepts::CircleMappingEdge2d, concepts::MappingStraightEdge2d, concepts::InverseMappingEdge2d, concepts::PartMappingEdge2d, concepts::PiecewiseFormulaVector< 1, F, G, H >, concepts::PiecewiseFormulaVector< dim, F, G, H >, concepts::ElementFormulaVector< 1, F, G, H >, concepts::ElementFormulaVector< dim, F, G, H >, concepts::VectorElementFormulaBase< F, dim, G >, concepts::MatrixElementFormula< F, dim, G >, concepts::FrmE_Sum< F, H, J, G >, concepts::FrmE_Product< F, H, J, G >, concepts::FrmE_Trace< dim, F, G >, concepts::FrmE_PointsToMapping< 2, F, G >, concepts::FrmE_PointToMapping< dim, F, G >, concepts::FrmE_Inverse< F, G >, concepts::FrmE_Conjugate< F, G >, concepts::FrmE_Component_Matrix< F, G, H >, concepts::FrmE_Component< F, G, H >, concepts::ElementFormulaContainer< F, G >, estimator::KeysInfo< F >, estimator::PolynomialDegrees< dim >, hp2D::ImplicitEquilibratedA0< F >, hp2D::LocalFluxes, hp2D::Fluxes, hp2D::ExplicitResidual2D< F >, hp2D::ExplicitResidual2D< F >::EdgeWeight, hp2D::ExplicitResidual2D< F >::Distance, estimator::LocalProjections_P< dim, F, H >, estimator::LocalProjections_S< F, H >, constraints::ConstraintsList< F >, bem::AdaptLaplaceSL01< F >, bem::AdaptLaplaceDL01< F >, bem::AdaptLaplaceDL00< F >, bem::ArbKrnl000< F, K >, bem::Identity< F >, bem::LaplaceHyp< F >, bem::LaplacePLD< F >, bem::LaplaceDL< F >, bem::LaplaceSL< F >, concepts::FormulaPMLRadia, concepts::FormulaPMLBoxRestriction< F, G >, concepts::FormulaPMLCart, concepts::FormulaIncPlaneWaveSource, concepts::ComposeFormulaVecEntry< F, DIM, G >, concepts::ComposeFormulaMatVec< F, DIM, G >, concepts::FormulaNormalOuterSP2D< F >, aglowav2::WavIdentity< F >, and aglowav2::AglowavBF00< F >.

◆ clone() [2/2]

virtual PiecewiseFormulaBase<H >* concepts::PiecewiseFormulaBase< H >::clone ( ) const

pure virtualinherited

Virtual constructor.

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

Implements concepts::ElementFormula< H, concepts::Realtype< H >::type >.

◆ dflt_value() [1/2]

virtual H & concepts::PiecewiseFormulaBase< H >::dflt_value ( )

inlinevirtualinherited

Gives default value.

Definition at line 83 of file piecewiseFormula.hh.

◆ dflt_value() [2/2]

virtual const H & concepts::PiecewiseFormulaBase< H >::dflt_value ( ) const

inlinevirtualinherited

Gives default value.

Definition at line 81 of file piecewiseFormula.hh.

◆ element_()

template<class F , class G , class H , class I >

const ElementWithCell< G > * concepts::PiecewiseFormulaVectorBase< F, G, H, I >::element_ ( const Connector & cell ) const

protected

Returns pointer to the element to which the cell cell or one of their children belongs.

If not such a element exists, null pointer is returned.

Definition at line 79 of file formula.hh.

◆ info()

std::ostream & concepts::PiecewiseFormulaBase< H >::info ( std::ostream & os ) const

protectedvirtualinherited

Returns information in an output stream.

Reimplemented from concepts::OutputOperator.

Definition at line 85 of file piecewiseFormula.hh.

◆ operator()() [1/9]

virtual H concepts::PiecewiseFormulaBase< H >::operator()	(	const Connector &	cntr,
		const Real	p,
		const Real	t = `0.0`
	)		const

pure virtualinherited

Gives the value in an particular cell on a particular point.

Parameters

cell	topological cell
p	physical coordinates
t	time

Implemented in concepts::PiecewiseFormulaVector< 1, F, G, H >.

◆ operator()() [2/9]

virtual H concepts::PiecewiseFormulaBase< H >::operator()	(	const Connector &	cntr,
		const Real2d &	p,
		const Real	t = `0.0`
	)		const

pure virtualinherited

Implemented in concepts::PiecewiseFormulaVector< 1, F, G, H >.

◆ operator()() [3/9]

virtual H concepts::PiecewiseFormulaBase< H >::operator()	(	const Connector &	cntr,
		const Real3d &	p,
		const Real	t = `0.0`
	)		const

pure virtualinherited

Implemented in concepts::PiecewiseFormulaVector< 1, F, G, H >.

◆ operator()() [4/9]

virtual H concepts::ElementFormula< H , concepts::Realtype< H >::type >::operator()	(	const ElementWithCell< G > &	elm,
		const Real	p,
		const Real	t = `0.0`
	)		const

pure virtualinherited

Evaluates the formula.

Parameters

elm	Element
p	Point in space in local element coordinates
t	Point in time

◆ operator()() [5/9]

virtual H concepts::ElementFormula< H , concepts::Realtype< H >::type >::operator()	(	const ElementWithCell< G > &	elm,
		const Real2d &	p,
		const Real	t = `0.0`
	)		const

pure virtualinherited

Evaluates the formula.

Parameters

elm	Element
p	Point in space in local element coordinates
t	Point in time

◆ operator()() [6/9]

virtual H concepts::ElementFormula< H , concepts::Realtype< H >::type >::operator()	(	const ElementWithCell< G > &	elm,
		const Real3d &	p,
		const Real	t = `0.0`
	)		const

pure virtualinherited

Evaluates the formula.

Parameters

elm	Element
p	Point in space in local element coordinates
t	Point in time

◆ operator()() [7/9]

virtual H concepts::PiecewiseFormulaBase< H >::operator()	(	const ElementWithCell< G > &	elm,
		const Real	p,
		const Real	t = `0.0`
	)		const

inlinevirtualinherited

Definition at line 52 of file piecewiseFormula.hh.

◆ operator()() [8/9]

virtual H concepts::PiecewiseFormulaBase< H >::operator()	(	const ElementWithCell< G > &	elm,
		const Real2d &	p,
		const Real	t = `0.0`
	)		const

inlinevirtualinherited

Definition at line 57 of file piecewiseFormula.hh.

◆ operator()() [9/9]

virtual H concepts::PiecewiseFormulaBase< H >::operator()	(	const ElementWithCell< G > &	elm,
		const Real3d &	p,
		const Real	t = `0.0`
	)		const

inlinevirtualinherited

Definition at line 63 of file piecewiseFormula.hh.

Member Data Documentation

◆ coeff_

template<class F , class G , class H , class I >

Array<F> concepts::PiecewiseFormulaVectorBase< F, G, H, I >::coeff_

protected

Solution vector.

Definition at line 43 of file formula.hh.

◆ dflt_value_

H concepts::PiecewiseFormulaBase< H >::dflt_value_

privateinherited

default value

Definition at line 88 of file piecewiseFormula.hh.

◆ elm_

template<class F , class G , class H , class I >

std::map<uint, const ElementWithCell<G>*> concepts::PiecewiseFormulaVectorBase< F, G, H, I >::elm_

protected

Mapping from cell key to the element.

Definition at line 47 of file formula.hh.

◆ fun_

template<class F , class G , class H , class I >

const ElementFunction<I,G>* concepts::PiecewiseFormulaVectorBase< F, G, H, I >::fun_

protected

Function of the FE function.

Definition at line 45 of file formula.hh.

◆ spc_

template<class F , class G , class H , class I >

const Space<G>& concepts::PiecewiseFormulaVectorBase< F, G, H, I >::spc_

protected

Space.

Definition at line 41 of file formula.hh.

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

function/formula.hh

concepts::PiecewiseFormulaVectorBase< F, G, H, I > Class Template Referenceabstract

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Private Attributes

Detailed Description

template<class F, class G, class H, class I> class concepts::PiecewiseFormulaVectorBase< F, G, H, I >

Member Typedef Documentation

◆ G

◆ value_type

Constructor & Destructor Documentation

◆ PiecewiseFormulaVectorBase()

Member Function Documentation

◆ clone() [1/2]

◆ clone() [2/2]

◆ dflt_value() [1/2]

◆ dflt_value() [2/2]

◆ element_()

◆ info()

◆ operator()() [1/9]

◆ operator()() [2/9]

◆ operator()() [3/9]

◆ operator()() [4/9]

◆ operator()() [5/9]

◆ operator()() [6/9]

◆ operator()() [7/9]

◆ operator()() [8/9]

◆ operator()() [9/9]

Member Data Documentation

◆ coeff_

◆ dflt_value_

◆ elm_

◆ fun_

◆ spc_

template<class F, class G, class H, class I>
class concepts::PiecewiseFormulaVectorBase< F, G, H, I >