Dune::LagrangeLocalFiniteElement< LP, dimDomain, D, R, SF, CF > Class Template Reference

Lagrange local finite elements for a given set of interpolation points. More...

#include <dune/localfunctions/lagrange.hh>

Inheritance diagram for Dune::LagrangeLocalFiniteElement< LP, dimDomain, D, R, SF, CF >:

Public Types
typedef Base::Traits	Traits
typedef GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >	This
typedef BasisF::Key	Key
typedef BasisF	BasisFactory
typedef CoeffF	CoefficientFactory
typedef InterpolF	InterpolationFactory

Public Member Functions
	LagrangeLocalFiniteElement (const GeometryType &gt, 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

Detailed Description

template<template< class, unsigned int > class LP, unsigned int dimDomain, class D, class R, class SF = R, class CF = SF>
class Dune::LagrangeLocalFiniteElement< LP, dimDomain, D, R, SF, CF >

Lagrange local finite elements for a given set of interpolation points.

The class LP provides the points for the interpolation. It has two template arguments, the first is the Field type to use for evaluating the points the second the dimension of the reference elements on which to construct the points. It is instantiated with the desired order and has a template method build taking a Topology to construct the points (a std::vector of FieldVectors). It also provides a static template method supports to indicate if the point set can be build for a specified Topology.

Examples include:

• EquidistantPointSet: standard point set for Lagrange points
• LobattoPointSet: an approximate Freget type point set (provided for simplex and generalized prism topologies (i.e. not for a 3d pyramid)

Template Parameters

LP	a template class defining the points for the lagrange interpolation
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

template<class BasisF , class CoeffF , class InterpolF >

typedef BasisF Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::BasisFactory

inherited

CoefficientFactory

template<class BasisF , class CoeffF , class InterpolF >

typedef CoeffF Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::CoefficientFactory

inherited

InterpolationFactory

template<class BasisF , class CoeffF , class InterpolF >

typedef InterpolF Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::InterpolationFactory

inherited

Key

template<class BasisF , class CoeffF , class InterpolF >

typedef BasisF::Key Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::Key

inherited

This

template<class BasisF , class CoeffF , class InterpolF >

typedef GenericLocalFiniteElement<BasisF, CoeffF, InterpolF> Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::This

inherited

Traits

template<template< class, unsigned int > class LP, unsigned int dimDomain, class D , class R , class SF = R, class CF = SF>

typedef Base::Traits Dune::LagrangeLocalFiniteElement< LP, dimDomain, D, R, SF, CF >::Traits

Constructor & Destructor Documentation

LagrangeLocalFiniteElement()

template<template< class, unsigned int > class LP, unsigned int dimDomain, class D , class R , class SF = R, class CF = SF>

Dune::LagrangeLocalFiniteElement< LP, dimDomain, D, R, SF, CF >::LagrangeLocalFiniteElement ( const GeometryType &  gt, unsigned int  order  )

inline

Todo:

Please doc me !

Member Function Documentation

localBasis()

template<class BasisF , class CoeffF , class InterpolF >

const Traits::LocalBasisType & Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::localBasis ( ) const

inlineinherited

Todo:

Please doc me !

localCoefficients()

template<class BasisF , class CoeffF , class InterpolF >

const Traits::LocalCoefficientsType & Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::localCoefficients ( ) const

inlineinherited

Todo:

Please doc me !

localInterpolation()

template<class BasisF , class CoeffF , class InterpolF >

const Traits::LocalInterpolationType & Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::localInterpolation ( ) const

inlineinherited

Todo:

Please doc me !

size()

template<class BasisF , class CoeffF , class InterpolF >

unsigned int Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::size ( ) const

inlineinherited

Number of shape functions in this finite element.

type()

template<class BasisF , class CoeffF , class InterpolF >

GeometryType Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::type ( ) const

inlineinherited

Todo:

Please doc me !

Member Data Documentation

dimDomain

template<class BasisF , class CoeffF , class InterpolF >

const unsigned int Dune::GenericLocalFiniteElement< BasisF, CoeffF, InterpolF >::dimDomain = BasisF::dimension

staticinherited

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

• lagrange.hh