dune-localfunctions 2.10
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Public Types | Public Member Functions | Static Public Member Functions | List of all members
Dune::LagrangeSimplexLocalFiniteElement< D, R, d, k > Class Template Reference

Lagrange finite element for simplices with arbitrary compile-time dimension and polynomial order. More...

#include <dune/localfunctions/lagrange/lagrangesimplex.hh>

Public Types

using Traits = LocalFiniteElementTraits< Impl::LagrangeSimplexLocalBasis< D, R, d, k >, Impl::LagrangeSimplexLocalCoefficients< d, k >, Impl::LagrangeSimplexLocalInterpolation< Impl::LagrangeSimplexLocalBasis< D, R, d, k > > >
 Export number types, dimensions, etc.
 

Public Member Functions

 LagrangeSimplexLocalFiniteElement ()
 
template<typename VertexMap >
 LagrangeSimplexLocalFiniteElement (const VertexMap &vertexmap)
 
const Traits::LocalBasisTypelocalBasis () const
 Returns the local basis, i.e., the set of shape functions.
 
const Traits::LocalCoefficientsTypelocalCoefficients () const
 Returns the assignment of the degrees of freedom to the element subentities.
 
const Traits::LocalInterpolationTypelocalInterpolation () const
 Returns object that evaluates degrees of freedom.
 

Static Public Member Functions

static constexpr std::size_t size ()
 The number of shape functions.
 
static constexpr GeometryType type ()
 The reference element that the local finite element is defined on.
 

Detailed Description

template<class D, class R, int d, int k>
class Dune::LagrangeSimplexLocalFiniteElement< D, R, d, k >

Lagrange finite element for simplices with arbitrary compile-time dimension and polynomial order.

Template Parameters
Dtype used for domain coordinates
Rtype used for function values
ddimension of the reference element
kpolynomial order

Member Typedef Documentation

◆ Traits

template<class D , class R , int d, int k>
using Dune::LagrangeSimplexLocalFiniteElement< D, R, d, k >::Traits = LocalFiniteElementTraits<Impl::LagrangeSimplexLocalBasis<D,R,d,k>, Impl::LagrangeSimplexLocalCoefficients<d,k>, Impl::LagrangeSimplexLocalInterpolation<Impl::LagrangeSimplexLocalBasis<D,R,d,k> > >

Export number types, dimensions, etc.

Constructor & Destructor Documentation

◆ LagrangeSimplexLocalFiniteElement() [1/2]

template<class D , class R , int d, int k>
Dune::LagrangeSimplexLocalFiniteElement< D, R, d, k >::LagrangeSimplexLocalFiniteElement ( )
inline

Default-construct the finite element

◆ LagrangeSimplexLocalFiniteElement() [2/2]

template<class D , class R , int d, int k>
template<typename VertexMap >
Dune::LagrangeSimplexLocalFiniteElement< D, R, d, k >::LagrangeSimplexLocalFiniteElement ( const VertexMap &  vertexmap)
inline

Constructs a finite element given a vertex reordering

This version is deprecated - use the std::array variant instead.

Member Function Documentation

◆ localBasis()

template<class D , class R , int d, int k>
const Traits::LocalBasisType & Dune::LagrangeSimplexLocalFiniteElement< D, R, d, k >::localBasis ( ) const
inline

Returns the local basis, i.e., the set of shape functions.

◆ localCoefficients()

template<class D , class R , int d, int k>
const Traits::LocalCoefficientsType & Dune::LagrangeSimplexLocalFiniteElement< D, R, d, k >::localCoefficients ( ) const
inline

Returns the assignment of the degrees of freedom to the element subentities.

◆ localInterpolation()

template<class D , class R , int d, int k>
const Traits::LocalInterpolationType & Dune::LagrangeSimplexLocalFiniteElement< D, R, d, k >::localInterpolation ( ) const
inline

Returns object that evaluates degrees of freedom.

◆ size()

template<class D , class R , int d, int k>
static constexpr std::size_t Dune::LagrangeSimplexLocalFiniteElement< D, R, d, k >::size ( )
inlinestaticconstexpr

The number of shape functions.

◆ type()

template<class D , class R , int d, int k>
static constexpr GeometryType Dune::LagrangeSimplexLocalFiniteElement< D, R, d, k >::type ( )
inlinestaticconstexpr

The reference element that the local finite element is defined on.


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