Dune Core Modules (unstable)

Dune::OrthonormalLocalFiniteElement< dimDomain, D, R, SF, CF > Class Template Reference

A class providing orthonormal basis functions. More...

#include <dune/localfunctions/orthonormal.hh>

Public Member Functions

 OrthonormalLocalFiniteElement (const GeometryType &gt, unsigned int order)
 
const Traits::LocalBasisTypelocalBasis () const
 
const Traits::LocalCoefficientsTypelocalCoefficients () const
 
const Traits::LocalInterpolationTypelocalInterpolation () const
 
unsigned int size () const
 Number of shape functions in this finite element.
 
GeometryType type () const
 

Detailed Description

template<unsigned int dimDomain, class D, class R, class SF = R, class CF = SF>
class Dune::OrthonormalLocalFiniteElement< dimDomain, D, R, SF, CF >

A class providing orthonormal basis functions.

These basis functions are constructed by l2 orthonormalizing of monomials over a reference element. Thus the span is always Pk. The coefficients and the interpolation are given by the Dune::DGLocalCoefficientsFactory and the Dune::LocalL2InterpolationFactory.

Template Parameters
dimDomaindimension of reference elements
Ddomain for basis functions
Rrange for basis functions
SFstorage field for basis matrix
CFcompute field for basis matrix

Constructor & Destructor Documentation

◆ OrthonormalLocalFiniteElement()

template<unsigned int dimDomain, class D , class R , class SF = R, class CF = SF>
Dune::OrthonormalLocalFiniteElement< dimDomain, D, R, SF, CF >::OrthonormalLocalFiniteElement ( const GeometryType gt,
unsigned int  order 
)
inline
Todo:
Please doc me !

Member Function Documentation

◆ localBasis()

const Traits::LocalBasisType& Dune::GenericLocalFiniteElement< OrthonormalBasisFactory< dimDomain, R, R > , DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, R, R > > , LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, R, R >, true > >::localBasis ( ) const
inlineinherited
Todo:
Please doc me !

◆ localCoefficients()

const Traits::LocalCoefficientsType& Dune::GenericLocalFiniteElement< OrthonormalBasisFactory< dimDomain, R, R > , DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, R, R > > , LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, R, R >, true > >::localCoefficients ( ) const
inlineinherited
Todo:
Please doc me !

◆ localInterpolation()

const Traits::LocalInterpolationType& Dune::GenericLocalFiniteElement< OrthonormalBasisFactory< dimDomain, R, R > , DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, R, R > > , LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, R, R >, true > >::localInterpolation ( ) const
inlineinherited
Todo:
Please doc me !

◆ type()

GeometryType Dune::GenericLocalFiniteElement< OrthonormalBasisFactory< dimDomain, R, R > , DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, R, R > > , LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, R, R >, true > >::type ( ) const
inlineinherited
Todo:
Please doc me !

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