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dune-localfunctions
2.7.1
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A class providing orthonormal basis functions. More...
#include <dune/localfunctions/orthonormal.hh>

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 BasisF::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 >, unsigned int order) | |
| const Traits::LocalBasisType & | localBasis () const |
| const Traits::LocalCoefficientsType & | localCoefficients () const |
| const Traits::LocalInterpolationType & | localInterpolation () const |
| unsigned int | size () const |
| Number of shape functions in this finite element. More... | |
| 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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Number of shape functions in this finite element.
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