dune-localfunctions 2.10
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Public Types | Public Member Functions | Static Public Attributes | List of all members
Dune::OrthonormalLocalFiniteElement< dimDomain, D, R, SF, CF > Class Template Reference

A class providing orthonormal basis functions. More...

#include <dune/localfunctions/orthonormal.hh>

Inheritance diagram for Dune::OrthonormalLocalFiniteElement< dimDomain, D, R, SF, CF >:
Inheritance graph

Public Types

typedef LocalFiniteElementTraits< typename BasisF::Object, typename CoeffF::Object, typename InterpolF::Object > Traits
 
typedef GenericLocalFiniteElement< BasisF, CoeffF, InterpolF > This
 
typedef BasisF::Key Key
 
typedef BasisF BasisFactory
 
typedef CoeffF CoefficientFactory
 
typedef InterpolF InterpolationFactory
 

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
 

Static Public Attributes

static const unsigned int dimDomain = BasisF::dimension
 

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

Member Typedef Documentation

◆ BasisFactory

template<class BasisF , class CoeffF , class InterpolF >
typedef BasisF Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::BasisFactory
inherited

◆ CoefficientFactory

template<class BasisF , class CoeffF , class InterpolF >
typedef CoeffF Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::CoefficientFactory
inherited

◆ InterpolationFactory

template<class BasisF , class CoeffF , class InterpolF >
typedef InterpolF Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::InterpolationFactory
inherited

◆ Key

template<class BasisF , class CoeffF , class InterpolF >
typedef BasisF::Key Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::Key
inherited

◆ This

template<class BasisF , class CoeffF , class InterpolF >
typedef GenericLocalFiniteElement<BasisF, CoeffF, InterpolF> Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::This
inherited

◆ Traits

template<unsigned int dimDomain, class D , class R , class SF = R, class CF = SF>
typedef LocalFiniteElementTraits< typename BasisF::Object, typename CoeffF::Object, typename InterpolF::Object > Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::Traits

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()

template<class BasisF , class CoeffF , class InterpolF >
const Traits::LocalBasisType & Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::localBasis ( ) const
inlineinherited
Todo:
Please doc me !

◆ localCoefficients()

template<class BasisF , class CoeffF , class InterpolF >
const Traits::LocalCoefficientsType & Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::localCoefficients ( ) const
inlineinherited
Todo:
Please doc me !

◆ localInterpolation()

template<class BasisF , class CoeffF , class InterpolF >
const Traits::LocalInterpolationType & Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::localInterpolation ( ) const
inlineinherited
Todo:
Please doc me !

◆ size()

template<class BasisF , class CoeffF , class InterpolF >
unsigned int Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::size ( ) const
inlineinherited

Number of shape functions in this finite element.

◆ type()

template<class BasisF , class CoeffF , class InterpolF >
GeometryType Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::type ( ) const
inlineinherited
Todo:
Please doc me !

Member Data Documentation

◆ dimDomain

template<class BasisF , class CoeffF , class InterpolF >
const unsigned int Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::dimDomain = BasisF::dimension
staticinherited

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