linDG2D::LaplaceFluxBf Class Referenceabstract

Edge fluxes for the Laplacian in DG FEM in 2D. More...

#include <bilinearForm.hh>

Inheritance diagram for linDG2D::LaplaceFluxBf:
concepts::BilinearForm< Real > concepts::Cloneable concepts::OutputOperator

Public Member Functions

virtual LaplaceFluxBfclone () const
 Virtual constructor. More...
 
virtual BilinearForm * clone () const=0
 Virtual constructor. More...
 
 LaplaceFluxBf (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::BoundaryConditionsbc_
 Boundary conditions, only the boundary type is relevant. More...
 

Detailed Description

Edge fluxes for the Laplacian in DG FEM in 2D.

This bilinear form integrates

\[ \int_{e} \langle \nabla \phi_i \rangle n_e \cdot [\phi_j] \, ds. \]

Author
Christoph Winkelmann, 2003

Definition at line 59 of file bilinearForm.hh.

Constructor & Destructor Documentation

◆ LaplaceFluxBf()

linDG2D::LaplaceFluxBf::LaplaceFluxBf ( const concepts::BoundaryConditions bc)
inline

Constructor.

Parameters
bcBoundary conditions, only the boundary type is relevant

Definition at line 64 of file bilinearForm.hh.

Member Function Documentation

◆ clone() [1/2]

virtual LaplaceFluxBf* linDG2D::LaplaceFluxBf::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 77 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()

◆ operator()() [1/4]

virtual void linDG2D::LaplaceFluxBf::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 67 of file bilinearForm.hh.

◆ operator()() [2/4]

virtual void linDG2D::LaplaceFluxBf::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
elmXLeft element (test functions)
elmYRight element (trial functions)
emReturn 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
elmXLeft element
elmYRight element
emReturn element matrix
epElement 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::LaplaceFluxBf::bc_
private

Boundary conditions, only the boundary type is relevant.

Definition at line 80 of file bilinearForm.hh.


The documentation for this class was generated from the following file:
Page URL: http://wiki.math.ethz.ch/bin/view/Concepts/WebHome
21 August 2020
© 2020 Eidgenössische Technische Hochschule Zürich