A function class to calculate element matrices for the Bilinearform of linear Elasticity. More...

#include <hook.hh>

Inheritance diagram for hp3D::Hook:

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

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

	Hook (concepts::Array< Real > &jacobian, concepts::Array< concepts::Array< concepts::MapReal3d > > &jacobianInv, const Hexahedron **oldElm, concepts::Mapping< Real, 6 > &E, const uint i=0, const uint j=0)
	Constructor of the i.th row and j.th column of vectorial Bilinearform. More...

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

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

virtual	~Hook ()

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

Private Attributes
concepts::Array< concepts::MapReal3d >	coeffMatrix_

concepts::Mapping< Real, 6 > &	E_

uint	i_
	row and column inside the vectorial Bilinearform More...

uint	j_

concepts::Array< Real > &	jacobian_
	Intermediate data for element matrix computation Jacobian (determinant) More...

concepts::Array< concepts::Array< concepts::MapReal3d > > &	jacobianInv_
	matrix with all matrices a_*a_j' build from inverse of jacobian matrix More...

const Hexahedron **	oldElm_

Detailed Description

A function class to calculate element matrices for the Bilinearform of linear Elasticity.

Author: Kersten Schmidt, 2003

Definition at line 27 of file hook.hh.

Constructor & Destructor Documentation

◆ Hook()

hp3D::Hook::Hook	(	concepts::Array< Real > &	jacobian,
		concepts::Array< concepts::Array< concepts::MapReal3d > > &	jacobianInv,
		const Hexahedron **	oldElm,
		concepts::Mapping< Real, 6 > &	E,
		const uint	i = `0`,
		const uint	j = `0`
	)

inline

Constructor of the i.th row and j.th column of vectorial Bilinearform.

Definition at line 30 of file hook.hh.

◆ ~Hook()

virtual hp3D::Hook::~Hook ( )

virtual

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 BilinearForm* concepts::BilinearForm< Real , typename Realtype<Real >::type >::clone ( ) const

pure virtualinherited

Virtual constructor.

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

◆ info()

virtual std::ostream& hp3D::Hook::info ( std::ostream & os ) const

protectedvirtual

Returns information in an output stream.

Reimplemented from concepts::BilinearForm< Real >.

◆ operator()() [1/4]

virtual void hp3D::Hook::operator()	(	const concepts::Element< Real > &	elmX,
		const concepts::Element< Real > &	elmY,
		concepts::ElementMatrix< Real > &	em
	)		const

virtual

◆ operator()() [2/4]

virtual void concepts::BilinearForm< Real , typename Realtype<Real >::type >::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

◆ operator()() [3/4]

virtual void concepts::BilinearForm< Real , typename Realtype<Real >::type >::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.

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()() [4/4]

void hp3D::Hook::operator()	(	const Hexahedron &	elmX,
		const Hexahedron &	elmY,
		concepts::ElementMatrix< Real > &	em
	)		const

Member Data Documentation

◆ coeffMatrix_

concepts::Array<concepts::MapReal3d> hp3D::Hook::coeffMatrix_

mutableprivate

Definition at line 55 of file hook.hh.

◆ E_

concepts::Mapping<Real, 6>& hp3D::Hook::E_

private

Definition at line 56 of file hook.hh.

◆ i_

uint hp3D::Hook::i_

private

row and column inside the vectorial Bilinearform

Definition at line 47 of file hook.hh.

◆ j_

uint hp3D::Hook::j_

private

Definition at line 47 of file hook.hh.

◆ jacobian_

concepts::Array<Real>& hp3D::Hook::jacobian_

mutableprivate

Intermediate data for element matrix computation Jacobian (determinant)

Definition at line 51 of file hook.hh.

◆ jacobianInv_

concepts::Array<concepts::Array<concepts::MapReal3d> >& hp3D::Hook::jacobianInv_

mutableprivate

matrix with all matrices a_*a_j' build from inverse of jacobian matrix

Definition at line 54 of file hook.hh.

◆ oldElm_

const Hexahedron** hp3D::Hook::oldElm_

private

Definition at line 58 of file hook.hh.

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

hp3D/hook.hh

hp3D::Hook Class Referenceabstract

Public Member Functions

Protected Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ Hook()

◆ ~Hook()

Member Function Documentation

◆ clone() [1/2]

◆ clone() [2/2]

◆ info()

◆ operator()() [1/4]

◆ operator()() [2/4]

◆ operator()() [3/4]

◆ operator()() [4/4]

Member Data Documentation

◆ coeffMatrix_

◆ E_

◆ i_

◆ j_

◆ jacobian_

◆ jacobianInv_

◆ oldElm_