Linear form in 2D. More...

#include <linearForm.hh>

Inheritance diagram for hp2Dedge::Riesz:
concepts::LinearForm< Real >

Public Member Functions

void operator() (const concepts::Element< Real > &elm, concepts::ElementMatrix< Real > &em) const
 Computes the element load vector. More...
 
virtual void operator() (const Element< typename Realtype< Real >::type > &elm, ElementMatrix< Real > &em) const=0
 Computes the element contribution to the function. More...
 
void operator() (const Quad< Real > &elm, concepts::ElementMatrix< Real > &em) const
 
 Riesz (const concepts::ElementFormulaContainer< concepts::Real2d > frm, const concepts::BoundaryConditions *bc=0)
 
 Riesz (const concepts::ElementFormulaContainer< Real > frm1, const concepts::ElementFormulaContainer< Real > frm2, const concepts::BoundaryConditions *bc=0)
 Constructor. More...
 
virtual ~Riesz ()
 

Protected Member Functions

virtual std::ostream & info (std::ostream &os) const
 

Private Attributes

concepts::ElementFormulaContainer< concepts::Real2dfrm_
 Formula. More...
 
Neumann neumann_
 Reference to the linear form of the Neumann condition. More...
 
concepts::Array< Real > tmp_
 Intermediate data for element matrix computation. More...
 

Detailed Description

Linear form in 2D.

This linear form computes

\[ \int_K \vec{f} \cdot \vec{v} \, dx + \mbox{Neumann term possibly}\]

Currently only on quadrilaterals.

See also
Neumann
Author
Kersten Schmidt, 2003

Definition at line 94 of file linearForm.hh.

Constructor & Destructor Documentation

◆ Riesz() [1/2]

hp2Dedge::Riesz::Riesz ( const concepts::ElementFormulaContainer< Real >  frm1,
const concepts::ElementFormulaContainer< Real >  frm2,
const concepts::BoundaryConditions bc = 0 
)

Constructor.

Parses the formula.

Parameters
frm1First component of the formula
frm2Second component of te formula
bcBoundary conditions, defaults to homogeneous

◆ Riesz() [2/2]

hp2Dedge::Riesz::Riesz ( const concepts::ElementFormulaContainer< concepts::Real2d frm,
const concepts::BoundaryConditions bc = 0 
)

◆ ~Riesz()

virtual hp2Dedge::Riesz::~Riesz ( )
virtual

Member Function Documentation

◆ info()

virtual std::ostream& hp2Dedge::Riesz::info ( std::ostream &  os) const
protectedvirtual

Reimplemented from concepts::LinearForm< Real >.

◆ operator()() [1/3]

void hp2Dedge::Riesz::operator() ( const concepts::Element< Real > &  elm,
concepts::ElementMatrix< Real > &  em 
) const

Computes the element load vector.

As for the computation of an element stiffness matrix, there are the loops over all quadrature points and the loops over all shape functions.

Parameters
elmThe element for which the load vector should be computed.
emThe load vector

◆ operator()() [2/3]

virtual void concepts::LinearForm< Real , typename Realtype<Real >::type >::operator() ( const Element< G > &  elm,
ElementMatrix< F > &  em 
) const
pure virtualinherited

Computes the element contribution to the function.

Parameters
elmElement on which the computations should be performed
emThe local matrix

◆ operator()() [3/3]

void hp2Dedge::Riesz::operator() ( const Quad< Real > &  elm,
concepts::ElementMatrix< Real > &  em 
) const

Member Data Documentation

◆ frm_

concepts::ElementFormulaContainer<concepts::Real2d> hp2Dedge::Riesz::frm_
private

Formula.

Definition at line 123 of file linearForm.hh.

◆ neumann_

Neumann hp2Dedge::Riesz::neumann_
private

Reference to the linear form of the Neumann condition.

Definition at line 127 of file linearForm.hh.

◆ tmp_

concepts::Array<Real> hp2Dedge::Riesz::tmp_
mutableprivate

Intermediate data for element matrix computation.

Definition at line 125 of file linearForm.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