Dune::Fem::LegendreShapeFunctionSet< FunctionSpace, hierarchicalOrdering > Class Template Reference

a Dune::Fem::ShapeFunctionSet of Legendre ansatz polynomials More...

#include <dune/fem/space/shapefunctionset/legendre.hh>

Inheritance diagram for Dune::Fem::LegendreShapeFunctionSet< FunctionSpace, hierarchicalOrdering >:

Classes
struct	Compare

Public Types
typedef FunctionSpace	FunctionSpaceType
	function space type More...
typedef FunctionSpaceType::DomainType	DomainType
	domain type More...
typedef FunctionSpaceType::RangeType	RangeType
	range type More...
typedef FunctionSpaceType::JacobianRangeType	JacobianRangeType
	jacobian range type More...
typedef FunctionSpaceType::HessianRangeType	HessianRangeType
	hessian range type More...

Public Member Functions
int	order () const noexcept
	return order of shape functions More...
std::size_t	size () const noexcept
	return number of shape functions More...
template<class Point , class Functor >
void	evaluateEach (const Point &x, Functor functor) const noexcept
	evalute each shape function More...
template<class Point , class Functor >
void	jacobianEach (const Point &x, Functor functor) const noexcept
	evalute jacobian of each shape function More...
template<class Point , class Functor >
void	hessianEach (const Point &x, Functor functor) const noexcept
	evalute hessian of each shape function More...
Construction
	LegendreShapeFunctionSet ()=default
	default constructor resulting in uninitialized shape function set More...
	LegendreShapeFunctionSet (int order)
	initialize with polynomial order More...
template<class Factory >
	LegendreShapeFunctionSet (const Factory &factory)
	initialize from user-defined factory object More...

Protected Types
typedef LegendreShapeFunction< FunctionSpace >	ShapeFunctionType

Protected Attributes
std::vector< ShapeFunctionType >	shapeFunctions_
int	order_

Detailed Description

template<class FunctionSpace, bool hierarchicalOrdering = false>
class Dune::Fem::LegendreShapeFunctionSet< FunctionSpace, hierarchicalOrdering >

a Dune::Fem::ShapeFunctionSet of Legendre ansatz polynomials

Note

The range field type used in the evaluation is fixed to double.

This shape function set can only be used with cubic reference elements.

Template Parameters

FunctionSpace	(scalar) function space
hierarchicalOrdering	(bool) if true shape functions are ordered according to their polynomial order

Member Typedef Documentation

DomainType

template<class FunctionSpace , bool hierarchicalOrdering = false>

typedef FunctionSpaceType::DomainType Dune::Fem::LegendreShapeFunctionSet< FunctionSpace, hierarchicalOrdering >::DomainType

domain type

FunctionSpaceType

template<class FunctionSpace , bool hierarchicalOrdering = false>

typedef FunctionSpace Dune::Fem::LegendreShapeFunctionSet< FunctionSpace, hierarchicalOrdering >::FunctionSpaceType

function space type

HessianRangeType

template<class FunctionSpace , bool hierarchicalOrdering = false>

typedef FunctionSpaceType::HessianRangeType Dune::Fem::LegendreShapeFunctionSet< FunctionSpace, hierarchicalOrdering >::HessianRangeType

hessian range type

JacobianRangeType

template<class FunctionSpace , bool hierarchicalOrdering = false>

typedef FunctionSpaceType::JacobianRangeType Dune::Fem::LegendreShapeFunctionSet< FunctionSpace, hierarchicalOrdering >::JacobianRangeType

jacobian range type

RangeType

template<class FunctionSpace , bool hierarchicalOrdering = false>

typedef FunctionSpaceType::RangeType Dune::Fem::LegendreShapeFunctionSet< FunctionSpace, hierarchicalOrdering >::RangeType

range type

ShapeFunctionType

template<class FunctionSpace , bool hierarchicalOrdering = false>

typedef LegendreShapeFunction< FunctionSpace > Dune::Fem::LegendreShapeFunctionSet< FunctionSpace, hierarchicalOrdering >::ShapeFunctionType

protected

Constructor & Destructor Documentation

LegendreShapeFunctionSet() [1/3]

template<class FunctionSpace , bool hierarchicalOrdering = false>

Dune::Fem::LegendreShapeFunctionSet< FunctionSpace, hierarchicalOrdering >::LegendreShapeFunctionSet ( )

default

default constructor resulting in uninitialized shape function set

LegendreShapeFunctionSet() [2/3]

template<class FunctionSpace , bool hierarchicalOrdering = false>

Dune::Fem::LegendreShapeFunctionSet< FunctionSpace, hierarchicalOrdering >::LegendreShapeFunctionSet ( int  order )

inlineexplicit

initialize with polynomial order

Parameters

[in]

order

LegendreShapeFunctionSet() [3/3]

template<class FunctionSpace , bool hierarchicalOrdering = false>

template<class Factory >

Dune::Fem::LegendreShapeFunctionSet< FunctionSpace, hierarchicalOrdering >::LegendreShapeFunctionSet ( const Factory &  factory )

inline

initialize from user-defined factory object

Parameters

[in]

factory

a factory, see description

Note

The parameter factory must implement the following methods:

struct Factory
{
  // return number of shape functions
  std::size_t size () const noexcept;
 
  // return maximum order
  int order () const noexcept;
 
  // fill range from begin to begin+size() with unique shape functions
  void operator() ( InputIterator begin ) const noexcept;
};

Member Function Documentation

evaluateEach()

template<class FunctionSpace , bool hierarchicalOrdering = false>

template<class Point , class Functor >

void Dune::Fem::LegendreShapeFunctionSet< FunctionSpace, hierarchicalOrdering >::evaluateEach ( const Point &  x, Functor  functor  ) const

inlinenoexcept

evalute each shape function

Parameters

[in]	x	coordinate or quadrature point
[in]	functor	functor call for evaluating each shape function

The functor has to be a copyable object satisfying the following interface:

struct Functor
{
  template< class Value >
  void operator() ( const int shapeFunction, const Value &value );
};

hessianEach()

template<class FunctionSpace , bool hierarchicalOrdering = false>

template<class Point , class Functor >

void Dune::Fem::LegendreShapeFunctionSet< FunctionSpace, hierarchicalOrdering >::hessianEach ( const Point &  x, Functor  functor  ) const

inlinenoexcept

evalute hessian of each shape function

Parameters

[in]	x	coordinate or quadrature point
[in]	functor	functor call for evaluating the hessian of each shape function

The functor has to be a copyable object satisfying the following interface:

struct Functor
{
  template< class Hessian >
  void operator() ( const int shapeFunction, const Hessian &hessian );
};

jacobianEach()

template<class FunctionSpace , bool hierarchicalOrdering = false>

template<class Point , class Functor >

void Dune::Fem::LegendreShapeFunctionSet< FunctionSpace, hierarchicalOrdering >::jacobianEach ( const Point &  x, Functor  functor  ) const

inlinenoexcept

evalute jacobian of each shape function

Parameters

[in]	x	coordinate or quadrature point
[in]	functor	functor call for evaluating the jacobian of each shape function

The functor has to be a copyable object satisfying the following interface:

struct Functor
{
  template< class Jacobian >
  void operator() ( const int shapeFunction, const Jacobian &jacobian );
};

order()

template<class FunctionSpace , bool hierarchicalOrdering = false>

int Dune::Fem::LegendreShapeFunctionSet< FunctionSpace, hierarchicalOrdering >::order ( ) const

inlinenoexcept

return order of shape functions

size()

template<class FunctionSpace , bool hierarchicalOrdering = false>

std::size_t Dune::Fem::LegendreShapeFunctionSet< FunctionSpace, hierarchicalOrdering >::size ( ) const

inlinenoexcept

return number of shape functions

Member Data Documentation

order_

template<class FunctionSpace , bool hierarchicalOrdering = false>

int Dune::Fem::LegendreShapeFunctionSet< FunctionSpace, hierarchicalOrdering >::order_

protected

shapeFunctions_

template<class FunctionSpace , bool hierarchicalOrdering = false>

std::vector< ShapeFunctionType > Dune::Fem::LegendreShapeFunctionSet< FunctionSpace, hierarchicalOrdering >::shapeFunctions_

protected

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

• shapefunctionset/legendre.hh