dune-localfunctions  2.7.0
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< OrthonormalBasisFactory< dimDomain, R, R >, DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, R, R > >, LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, R, R >, true > > This
 
typedef OrthonormalBasisFactory< dimDomain, R, R > ::Key Key
 
typedef OrthonormalBasisFactory< dimDomain, R, R > BasisFactory
 
typedef DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, R, R > > CoefficientFactory
 
typedef LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, R, R >, true > 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. More...
 
GeometryType type () const
 
 DUNE_DEPRECATED_MSG ("Use type().id() instead!") unsigned int topologyId() const
 

Static Public Attributes

static const unsigned int dimDomain
 

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

◆ CoefficientFactory

◆ InterpolationFactory

◆ Key

◆ This

◆ 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

◆ DUNE_DEPRECATED_MSG()

Dune::GenericLocalFiniteElement< OrthonormalBasisFactory< dimDomain, R, R > , DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, R, R > > , LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, R, R >, true > >::DUNE_DEPRECATED_MSG ( "Use type().id() instead!"  ) const
inlineinherited
Todo:
Please doc me !
Deprecated:
Deprecated in dune-localfunctions 2.7. Use type().id() instead!

◆ localBasis()

Todo:
Please doc me !

◆ localCoefficients()

Todo:
Please doc me !

◆ localInterpolation()

Todo:
Please doc me !

◆ size()

Number of shape functions in this finite element.

◆ type()

Todo:
Please doc me !

Member Data Documentation

◆ dimDomain

const unsigned int Dune::GenericLocalFiniteElement< OrthonormalBasisFactory< dimDomain, R, R > , DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, R, R > > , LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, R, R >, true > >::dimDomain
staticinherited

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