Edge fluxes for elasticity in DG FEM in 2D. More...

#include <bilinearForm.hh>

Inheritance diagram for DGElasticFluxBf2d:

Collaboration diagram for DGElasticFluxBf2d:

Public Member Functions
virtual DGElasticFluxBf2d *	clone () const
	Virtual constructor.
	DGElasticFluxBf2d (const concepts::Mapping< Real, 2 > m, concepts::BoundaryConditions *bc)
	Constructor.
virtual void	operator() (const Element< typename Realtype< Real >::type > &elmX, const Element< typename Realtype< Real >::type > &elmY, ElementMatrix< Real > &em)=0
	Evaluates the bilinear form for all shape functions on `elmX` and `elmY` and stores the result in the matrix `em`.
virtual void	operator() (const concepts::Element< Real > &elmV, const concepts::Element< Real > &elmU, concepts::ElementMatrix< Real > &em)
	Application operator for volume terms, does nothing.
virtual void	operator() (const concepts::Element< Real > &elmV, const concepts::Element< Real > &elmU, concepts::ElementMatrix< Real > &em, const concepts::ElementPair< Real > &ep)
	Application operator vor DG term.
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)
	Evaluates the bilinear form for all shape functions on `elmX` and `elmY` and stores the result in the matrix `em`.
Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.
Private Attributes
concepts::BoundaryConditions *	bc_
	Boundary conditions, only the boundary type is relevant.
const concepts::Mapping< Real, 2 >	submapping_
	submapping E^ij

Detailed Description

Edge fluxes for elasticity in DG FEM in 2D.

This bilinear form integrates

$\int_{e} \langle (\nabla \phi_i)^{\top} \rangle E^{ij} n_e \cdot [\phi_j] \, ds.$

Author:: Christoph Winkelmann, 2003

Definition at line 44 of file bilinearForm.hh.

Constructor & Destructor Documentation

DGElasticFluxBf2d::DGElasticFluxBf2d	(	const concepts::Mapping< Real, 2 >	m,
		concepts::BoundaryConditions *	bc
	)		`[inline]`

Constructor.

Parameters:

m	submapping E^ij
bc	Boundary conditions, only the boundary type is relevant

Definition at line 50 of file bilinearForm.hh.

Member Function Documentation

virtual DGElasticFluxBf2d* DGElasticFluxBf2d::clone ( ) const [inline, virtual]

Virtual constructor.

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

Implements concepts::Cloneable.

Definition at line 64 of file bilinearForm.hh.

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virtual std::ostream& concepts::BilinearForm< Real , typename Realtype<Real >::type >::info ( std::ostream & os ) const [protected, virtual, inherited]

Returns information in an output stream.

Reimplemented from concepts::OutputOperator.

Reimplemented in hp2D::DiffussionReaction, TraceMass, hp2D::DivDiv< Weight >, hp2D::RotRot, hp2Dedge::RotRot, hp2Dedge::Identity, hp2Dedge::Graduv, hp2Dedge::EdgeIdentity, hp3D::Laplace, hp3D::Identity, hp3D::DivDiv< Weight >, hp3D::Hook, and hp3D::RotRot.

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
	)		`[inline, virtual, inherited]`

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 53 of file bilinearForm.hh.

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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
	)		`[pure virtual, inherited]`

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

virtual void DGElasticFluxBf2d::operator()	(	const concepts::Element< Real > &	elmV,
		const concepts::Element< Real > &	elmU,
		concepts::ElementMatrix< Real > &	em
	)		`[inline, virtual]`

Application operator for volume terms, does nothing.

Definition at line 54 of file bilinearForm.hh.

virtual void DGElasticFluxBf2d::operator()	(	const concepts::Element< Real > &	elmV,
		const concepts::Element< Real > &	elmU,
		concepts::ElementMatrix< Real > &	em,
		const concepts::ElementPair< Real > &	ep
	)		`[virtual]`

Application operator vor DG term.

Member Data Documentation

concepts::BoundaryConditions* DGElasticFluxBf2d::bc_ [private]

Boundary conditions, only the boundary type is relevant.

Definition at line 68 of file bilinearForm.hh.

const concepts::Mapping<Real, 2> DGElasticFluxBf2d::submapping_ [private]

submapping E^ij

Definition at line 70 of file bilinearForm.hh.

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

app-cwinkelm/bilinearForm.hh

Public Member Functions

Protected Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation