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

#include <bilinearForm.hh>

Inheritance diagram for linDG2D::LaplaceStabBf:

Public Member Functions
virtual LaplaceStabBf *	clone () const
	Virtual constructor. More...

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

	LaplaceStabBf (Real omega, const concepts::BoundaryConditions *bc)
	Constructor. More...

virtual void	operator() (const concepts::Element< Real > &elmV, const concepts::Element< Real > &elmU, concepts::ElementMatrix< Real > &em) const
	Application operator for volume terms, does nothing. More...

virtual void	operator() (const concepts::Element< Real > &elmV, const concepts::Element< Real > &elmU, concepts::ElementMatrix< Real > &em, const concepts::ElementPair< Real > &ep) const
	Application operator for DG term. More...

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...

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

Private Attributes
const concepts::BoundaryConditions *	bc_
	Boundary conditions, only the boundary type is relevant. More...

const Real	omega_
	Stabilization parameter. More...

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 90 of file bilinearForm.hh.

Constructor & Destructor Documentation

◆ LaplaceStabBf()

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 96 of file bilinearForm.hh.

Member Function Documentation

◆ clone() [1/2]

virtual LaplaceStabBf* linDG2D::LaplaceStabBf::clone ( ) const

inlinevirtual

Virtual constructor.

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

Implements concepts::Cloneable.

Definition at line 109 of file bilinearForm.hh.

◆ 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& concepts::BilinearForm< Real , typename Realtype<Real >::type >::info ( std::ostream & os ) const

protectedvirtualinherited

Returns information in an output stream.

Reimplemented from concepts::OutputOperator.

Reimplemented in hp3D::RotRot, hp3D::Hook, hp3D::DivDiv< Weight >, hp3D::Identity< F >, hp3D::Laplace< F >, hp3D::BilinearFormTwoPartDeriv< F >, hp2Dedge::EdgeIdentity, hp2Dedge::Rotuv, hp2Dedge::RotRot< F >, hp2Dedge::IdentityMatrix< F >, hp2Dedge::Identity< F >, hp2Dedge::GraduvMatrix< F >, hp2Dedge::Graduv< F >, hp2D::RotRot, hp2D::DivDiv< Weight >, hp2D::BilinearFormTwoPartDeriv< F >, hp2D::BilinearFormOnePartDeriv< F >, hp2D::LaplaceMatrix< F >, and hp2D::Laplace< F >.

◆ operator()() [1/4]

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

inlinevirtual

Application operator for volume terms, does nothing.

Definition at line 99 of file bilinearForm.hh.

◆ operator()() [2/4]

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

virtual

Application operator for DG term.

◆ 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

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()() [4/4]

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.

Member Data Documentation

◆ bc_

const concepts::BoundaryConditions* linDG2D::LaplaceStabBf::bc_

private

Boundary conditions, only the boundary type is relevant.

Definition at line 115 of file bilinearForm.hh.

◆ omega_

const Real linDG2D::LaplaceStabBf::omega_

private

Stabilization parameter.

Definition at line 113 of file bilinearForm.hh.

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

linDG2D/bilinearForm.hh

linDG2D::LaplaceStabBf Class Referenceabstract

Public Member Functions

Protected Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ LaplaceStabBf()

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

◆ bc_

◆ omega_