Boundary integral for the DG FEM in 1D. More...

#include <bilinearForm.hh>

Inheritance diagram for linDG1D::BoundaryInt:

Collaboration diagram for linDG1D::BoundaryInt:

Public Member Functions
	BoundaryInt (concepts::BoundaryConditions *bc=0)
virtual BoundaryInt *	clone () const
	Virtual 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 > &elmX, const concepts::Element< Real > &elmY, concepts::ElementMatrix< Real > &em)
virtual void	operator() (const concepts::Element< Real > &elmX, const concepts::Element< Real > &elmY, concepts::ElementMatrix< Real > &em, const concepts::ElementPair< Real > &ep)
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_

Detailed Description

Boundary integral for the DG FEM in 1D.

This bilinear form integrates

$\int_{K\cap K'} \langle \phi_i \rangle \cdot [\phi_j] \, dx.$

To generate the complete boundary integral

$\int_v \langle \phi_i \rangle \cdot [\phi_j] - [\phi_i] \cdot \langle \phi_j' \rangle$

combine this matrix with the negative transpose of itself.

Author:: Thomas Wihler, 2003

Examples:: linearDG1d.cc.

Definition at line 24 of file bilinearForm.hh.

Constructor & Destructor Documentation

linDG1D::BoundaryInt::BoundaryInt ( concepts::BoundaryConditions * bc = 0 ) [inline]

Definition at line 26 of file bilinearForm.hh.

Member Function Documentation

virtual BoundaryInt* linDG1D::BoundaryInt::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 34 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 linDG1D::BoundaryInt::operator()	(	const concepts::Element< Real > &	elmX,
		const concepts::Element< Real > &	elmY,
		concepts::ElementMatrix< Real > &	em
	)		`[virtual]`

virtual void linDG1D::BoundaryInt::operator()	(	const concepts::Element< Real > &	elmX,
		const concepts::Element< Real > &	elmY,
		concepts::ElementMatrix< Real > &	em,
		const concepts::ElementPair< Real > &	ep
	)		`[virtual]`

Member Data Documentation

concepts::BoundaryConditions* linDG1D::BoundaryInt::bc_ [private]

Definition at line 36 of file bilinearForm.hh.

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

linDG1D/bilinearForm.hh

Public Member Functions

Protected Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation