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 >:
Public Types | |
| typedef LocalFiniteElementTraits< typename OrthonormalBasisFactory< dimDomain, D, R, SF, CF >::Object, typename DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, D, R, SF, CF > >::Object, typename LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, D, R, SF, CF >, true >::Object > | Traits |
| typedef GenericLocalFiniteElement< OrthonormalBasisFactory< dimDomain, D, R, R, R >, DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, D, R, R, R > >, LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, D, R, R, R >, true > > | This |
| typedef OrthonormalBasisFactory< dimDomain, D, R, R, R >::Key | Key |
| typedef OrthonormalBasisFactory< dimDomain, D, R, R, R > | BasisFactory |
| typedef DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, D, R, R, R > > | CoefficientFactory |
| typedef LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, D, R, 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. | |
| GeometryType | type () 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 >
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
-
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
Member Typedef Documentation
◆ BasisFactory
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inherited |
◆ CoefficientFactory
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inherited |
◆ InterpolationFactory
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inherited |
◆ Key
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inherited |
◆ This
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inherited |
◆ Traits
template<unsigned int dimDomain, class D, class R, class SF = R, class CF = SF>
| typedef LocalFiniteElementTraits< typename OrthonormalBasisFactory< dimDomain, D, R, SF, CF >::Object, typename DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, D, R, SF, CF > >::Object, typename LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, D, R, SF, CF >, true >::Object > Dune::GenericLocalFiniteElement< OrthonormalBasisFactory< dimDomain, D, R, SF, CF >, DGLocalCoefficientsFactory< OrthonormalBasisFactory< dimDomain, D, R, SF, CF > >, LocalL2InterpolationFactory< OrthonormalBasisFactory< dimDomain, D, R, SF, CF >, true > >::Traits |
Constructor & Destructor Documentation
◆ OrthonormalLocalFiniteElement()
template<unsigned int dimDomain, class D, class R, class SF = R, class CF = SF>
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inline |
- Todo
- Please doc me !
Member Function Documentation
◆ localBasis()
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inlineinherited |
- Todo
- Please doc me !
◆ localCoefficients()
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inlineinherited |
- Todo
- Please doc me !
◆ localInterpolation()
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inlineinherited |
- Todo
- Please doc me !
◆ size()
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inlineinherited |
Number of shape functions in this finite element.
◆ type()
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inlineinherited |
- Todo
- Please doc me !
Member Data Documentation
◆ dimDomain
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staticinherited |
The documentation for this class was generated from the following file:
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