dune-fem 2.8.0
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Public Types | Public Member Functions | List of all members
Dune::Fem::LocalFunctionSet< Entity, Range > Class Template Reference

Local basis functions. More...

#include <dune/fem/function/localfunction/localfunctionset.hh>

Public Types

typedef Entity EntityType
 entity type
 
typedef FunctionSpace< typename Entity::Geometry::ctype, typename Range::value_type, Entity::Geometry::coorddimension, Range::dimension > FunctionSpaceType
 function space type
 
typedef FunctionSpaceType::DomainType DomainType
 domain type
 
typedef FunctionSpaceType::RangeType RangeType
 range type
 
typedef FunctionSpaceType::JacobianRangeType JacobianRangeType
 jacobian range type
 
typedef FunctionSpaceType::HessianRangeType HessianRangeType
 hessian range type
 

Public Member Functions

int order () const
 return order of basis functions
 
const EntityTypeentity () const
 return entity
 
std::size_t size () const
 return number of basis functions
 
template<class Point , class Functor >
void evaluateEach (const Point &x, Functor functor) const
 
template<class Point , class Functor >
void jacobianEach (const Point &x, Functor functor) const
 
template<class Point , class Functor >
void hessianEach (const Point &x, Functor functor) const
 

Detailed Description

template<class Entity, class Range>
class Dune::Fem::LocalFunctionSet< Entity, Range >

Local basis functions.

This class documents the local basis functions interface.

Template Parameters
FunctionSpacefunction space

Member Typedef Documentation

◆ DomainType

template<class Entity , class Range >
typedef FunctionSpaceType::DomainType Dune::Fem::LocalFunctionSet< Entity, Range >::DomainType

domain type

◆ EntityType

template<class Entity , class Range >
typedef Entity Dune::Fem::LocalFunctionSet< Entity, Range >::EntityType

entity type

◆ FunctionSpaceType

template<class Entity , class Range >
typedef FunctionSpace< typename Entity::Geometry::ctype, typename Range::value_type, Entity::Geometry::coorddimension, Range::dimension > Dune::Fem::LocalFunctionSet< Entity, Range >::FunctionSpaceType

function space type

◆ HessianRangeType

template<class Entity , class Range >
typedef FunctionSpaceType::HessianRangeType Dune::Fem::LocalFunctionSet< Entity, Range >::HessianRangeType

hessian range type

◆ JacobianRangeType

template<class Entity , class Range >
typedef FunctionSpaceType::JacobianRangeType Dune::Fem::LocalFunctionSet< Entity, Range >::JacobianRangeType

jacobian range type

◆ RangeType

template<class Entity , class Range >
typedef FunctionSpaceType::RangeType Dune::Fem::LocalFunctionSet< Entity, Range >::RangeType

range type

Member Function Documentation

◆ entity()

template<class Entity , class Range >
const EntityType & Dune::Fem::LocalFunctionSet< Entity, Range >::entity ( ) const

return entity

◆ evaluateEach()

template<class Entity , class Range >
template<class Point , class Functor >
void Dune::Fem::LocalFunctionSet< Entity, Range >::evaluateEach ( const Point &  x,
Functor  functor 
) const
     \brief evalute each basis function

      \param[in]  x        local coordinate or quadrature point
      \param[in]  functor  functor call for evaluating each basis function

      The functor has to be a copyable object satisfying the following
      interface:
struct Functor
{
template< class Value >
void operator() ( const int basisFunction, const Value &value );
};

◆ hessianEach()

template<class Entity , class Range >
template<class Point , class Functor >
void Dune::Fem::LocalFunctionSet< Entity, Range >::hessianEach ( const Point &  x,
Functor  functor 
) const
     \brief evalute hessian of each basis function

      \param[in]  x        local coordinate or quadrature point
      \param[in]  functor  functor call for evaluating the hessian of each basis function

      The functor has to be a copyable object satisfying the following
      interface:
struct Functor
{
template< class Hessian >
void operator() ( const int basisFunction, const Hessian &hessian );
};

◆ jacobianEach()

template<class Entity , class Range >
template<class Point , class Functor >
void Dune::Fem::LocalFunctionSet< Entity, Range >::jacobianEach ( const Point &  x,
Functor  functor 
) const
     \brief evalute jacobian of each basis function

      \param[in]  x        local coordinate or quadrature point
      \param[in]  functor  functor call for evaluating the jacobian of each basis function

      The functor has to be a copyable object satisfying the following
      interface:
struct Functor
{
template< class Jacobian >
void operator() ( const int basisFunction, const Jacobian &jacobian );
};

◆ order()

template<class Entity , class Range >
int Dune::Fem::LocalFunctionSet< Entity, Range >::order ( ) const

return order of basis functions

◆ size()

template<class Entity , class Range >
std::size_t Dune::Fem::LocalFunctionSet< Entity, Range >::size ( ) const

return number of basis functions


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