Dune::Pk1DFiniteElement< Geometry, RF, k > Class Template Reference

Langrange finite element of arbitrary order on triangles. More...

#include <dune/localfunctions/lagrange/pk1d.hh>

Inheritance diagram for Dune::Pk1DFiniteElement< Geometry, RF, k >:

List of all members.

Classes
struct	Traits

Public Member Functions
template<class VertexOrder >
	Pk1DFiniteElement (const Geometry &geometry, const VertexOrder &vertexOrder)
	construct a Pk1DFiniteElement
const Traits::Basis &	basis () const
	Extract basis of this finite element.
const Traits::Interpolation &	interpolation () const
	Extract interpolation of this finite element.
const Traits::Coefficients &	coefficients () const
	Extract coefficients of this finite element.
const GeometryType &	type () const
	Extract geometry type of this finite element.

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Detailed Description

template<class Geometry, class RF, std::size_t k>
class Dune::Pk1DFiniteElement< Geometry, RF, k >

Langrange finite element of arbitrary order on triangles.

Template Parameters:

Geometry	Geometry for the local to global transformation.
RF	Field type of the range.
k	Maximum polynomial order of the base functions.

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Constructor & Destructor Documentation

template<class Geometry , class RF , std::size_t k>

template<class VertexOrder >

Dune::Pk1DFiniteElement< Geometry, RF, k >::Pk1DFiniteElement ( const Geometry &  geometry, const VertexOrder &  vertexOrder  )

inline

construct a Pk1DFiniteElement

Parameters:

geometry	The geometry object to use for adaption.
vertexOrder	The global ordering of the vertices within the grid, used to determine orientation of the edges. This vertexOrder object must support codim=0.

Note:

This class stores the reference to the geometry passed here. Any use of this class after this references has become invalid results in undefined behaviour. The exception is that the destructor of this class may still be called. The information contained in the vertexOrder object is extracted and the object is no longer needed after the contructor returns.

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Member Function Documentation

template<class Geometry , class RF , std::size_t k>

const Traits::Basis& Dune::Pk1DFiniteElement< Geometry, RF, k >::basis ( ) const

inline

Extract basis of this finite element.

The returned lvalue must have a lifetime at least as long as the finite element object is was aquired from.

Reimplemented from Dune::FiniteElementInterface.

template<class Geometry , class RF , std::size_t k>

const Traits::Coefficients& Dune::Pk1DFiniteElement< Geometry, RF, k >::coefficients ( ) const

inline

Extract coefficients of this finite element.

The returned lvalue must have a lifetime at least as long as the finite element object is was aquired from.

Reimplemented from Dune::FiniteElementInterface.

template<class Geometry , class RF , std::size_t k>

const Traits::Interpolation& Dune::Pk1DFiniteElement< Geometry, RF, k >::interpolation ( ) const

inline

Extract interpolation of this finite element.

The returned lvalue must have a lifetime at least as long as the finite element object is was aquired from.

Reimplemented from Dune::FiniteElementInterface.

template<class Geometry , class RF , std::size_t k>

const GeometryType& Dune::Pk1DFiniteElement< Geometry, RF, k >::type ( ) const

inline

Extract geometry type of this finite element.

Reimplemented from Dune::FiniteElementInterface.

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

• pk1d.hh