dune-localfunctions
2.2.1
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A class providing orthonormal basis functions. More...
#include <dune/localfunctions/orthonormal.hh>
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typedef LocalFiniteElementTraits < typename BasisF::Object, typename CoeffF::Object, typename InterpolF::Object > | Traits |
typedef GenericLocalFiniteElement < OrthonormalBasisFactory < dimDomain, SF, CF > , DGLocalCoefficientsFactory < OrthonormalBasisFactory < dimDomain, SF, CF > >, LocalL2InterpolationFactory < OrthonormalBasisFactory < dimDomain, SF, CF >, true > > | This |
typedef OrthonormalBasisFactory < dimDomain, SF, CF >::Key | Key |
typedef OrthonormalBasisFactory < dimDomain, SF, CF > | BasisFactory |
typedef DGLocalCoefficientsFactory < OrthonormalBasisFactory < dimDomain, SF, CF > > | CoefficientFactory |
typedef LocalL2InterpolationFactory < OrthonormalBasisFactory < dimDomain, SF, CF >, true > | InterpolationFactory |
Public Member Functions | |
OrthonormalLocalFiniteElement (unsigned int topologyId, unsigned int order) | |
OrthonormalLocalFiniteElement (const GeometryType >, unsigned int order) | |
dune_static_assert ((Conversion< Key, typename DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, SF, CF > >::Key >::sameType),"incompatible keys between BasisCreator and CoefficientsCreator") | |
dune_static_assert ((Conversion< Key, typename LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, SF, CF >, true >::Key >::sameType),"incompatible keys between BasisCreator and InterpolationCreator") | |
const Traits::LocalBasisType & | localBasis () const |
const Traits::LocalCoefficientsType & | localCoefficients () const |
const Traits::LocalInterpolationType & | localInterpolation () const |
GeometryType | type () const |
unsigned int | topologyId () const |
Static Public Attributes | |
static const unsigned int | dimDomain |
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.
dimDomain | dimension of reference elements |
D | domain for basis functions |
R | range for basis functions |
SF | storage field for basis matrix |
CF | compute field for basis matrix |
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typedef LocalFiniteElementTraits< typename BasisF::Object, typename CoeffF::Object, typename InterpolF::Object > Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::Traits |
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