dune-localfunctions 2.10
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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< BasisF, CoeffF, InterpolF > | This |
typedef BasisF::Key | Key |
typedef BasisF | BasisFactory |
typedef CoeffF | CoefficientFactory |
typedef InterpolF | 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. | |
GeometryType | type () const |
Static Public Attributes | |
static const unsigned int | dimDomain = BasisF::dimension |
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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