Stabilizing edge integral for the Laplacian in DG FEM in 2D. More...

#include <bilinearForm.hh>

Inheritance diagram for linDG2D::LaplaceStabBf:

Collaboration diagram for linDG2D::LaplaceStabBf:

Public Member Functions
virtual LaplaceStabBf *	clone () const
	Virtual constructor.
	LaplaceStabBf (Real omega, const 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 for 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
const concepts::BoundaryConditions *	bc_
	Boundary conditions, only the boundary type is relevant.
const Real	omega_
	Stabilization parameter.

Detailed Description

Stabilizing edge integral for the Laplacian in DG FEM in 2D.

This bilinear form integrates

$\frac{\omega}{\vert e\vert} \int_{e} [\phi_i] \cdot [\phi_j] \, ds.$

Author:: Christoph Winkelmann, 2003

Definition at line 87 of file bilinearForm.hh.

Constructor & Destructor Documentation

linDG2D::LaplaceStabBf::LaplaceStabBf	(	Real	omega,
		const concepts::BoundaryConditions *	bc
	)		`[inline]`

Constructor.

Parameters:

omega	Stabilization parameter
bc	Boundary conditions, only the boundary type is relevant

Definition at line 93 of file bilinearForm.hh.

Member Function Documentation

virtual LaplaceStabBf* linDG2D::LaplaceStabBf::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 106 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 linDG2D::LaplaceStabBf::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 96 of file bilinearForm.hh.

virtual void linDG2D::LaplaceStabBf::operator()	(	const concepts::Element< Real > &	elmV,
		const concepts::Element< Real > &	elmU,
		concepts::ElementMatrix< Real > &	em,
		const concepts::ElementPair< Real > &	ep
	)		`[virtual]`

Application operator for DG term.

Member Data Documentation

const concepts::BoundaryConditions* linDG2D::LaplaceStabBf::bc_ [private]

Boundary conditions, only the boundary type is relevant.

Definition at line 112 of file bilinearForm.hh.

const Real linDG2D::LaplaceStabBf::omega_ [private]

Stabilization parameter.

Definition at line 110 of file bilinearForm.hh.

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

linDG2D/bilinearForm.hh

Public Member Functions

Protected Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation