Dune::Fem::LegendreDiscontinuousGalerkinSpaceTraits< FunctionSpace, GridPart, polOrder, Storage, hierarchicalOrdering >::ScalarShapeFunctionSet Struct Reference

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

Inheritance diagram for Dune::Fem::LegendreDiscontinuousGalerkinSpaceTraits< FunctionSpace, GridPart, polOrder, Storage, hierarchicalOrdering >::ScalarShapeFunctionSet:

Public Types
typedef Dune::Fem::LegendreShapeFunctionSet< ScalarShapeFunctionSpaceType, hierarchicalOrdering >	BaseType
typedef ScalarShapeFunctionSpaceType	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
	ScalarShapeFunctionSet (Dune::GeometryType type)
int	order () const noexcept
	return order of shape functions
std::size_t	size () const noexcept
	return number of shape functions
void	evaluateEach (const Point &x, Functor functor) const noexcept
	evalute each shape function
void	jacobianEach (const Point &x, Functor functor) const noexcept
	evalute jacobian of each shape function
void	hessianEach (const Point &x, Functor functor) const noexcept
	evalute hessian of each shape function

Static Public Member Functions
static constexpr unsigned int	size ()

Static Public Attributes
static const int	numberShapeFunctions = Dune::power( int(polOrder+1), int(ScalarShapeFunctionSpaceType::dimDomain) )

Protected Types
typedef LegendreShapeFunction< ScalarShapeFunctionSpaceType >	ShapeFunctionType

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

Member Typedef Documentation

BaseType

template<class FunctionSpace , class GridPart , int polOrder, class Storage , bool hierarchicalOrdering>

typedef Dune::Fem::LegendreShapeFunctionSet< ScalarShapeFunctionSpaceType, hierarchicalOrdering > Dune::Fem::LegendreDiscontinuousGalerkinSpaceTraits< FunctionSpace, GridPart, polOrder, Storage, hierarchicalOrdering >::ScalarShapeFunctionSet::BaseType

DomainType

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

inherited

domain type

FunctionSpaceType

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

inherited

function space type

HessianRangeType

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

inherited

hessian range type

JacobianRangeType

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

inherited

jacobian range type

RangeType

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

inherited

range type

ShapeFunctionType

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

protectedinherited

Constructor & Destructor Documentation

ScalarShapeFunctionSet()

template<class FunctionSpace , class GridPart , int polOrder, class Storage , bool hierarchicalOrdering>

Dune::Fem::LegendreDiscontinuousGalerkinSpaceTraits< FunctionSpace, GridPart, polOrder, Storage, hierarchicalOrdering >::ScalarShapeFunctionSet::ScalarShapeFunctionSet ( Dune::GeometryType  type )

inlineexplicit

Member Function Documentation

evaluateEach()

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

inlinenoexceptinherited

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()

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

inlinenoexceptinherited

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()

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

inlinenoexceptinherited

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()

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

inlinenoexceptinherited

return order of shape functions

size() [1/2]

template<class FunctionSpace , class GridPart , int polOrder, class Storage , bool hierarchicalOrdering>

static constexpr unsigned int Dune::Fem::LegendreDiscontinuousGalerkinSpaceTraits< FunctionSpace, GridPart, polOrder, Storage, hierarchicalOrdering >::ScalarShapeFunctionSet::size ( )

inlinestaticconstexpr

size() [2/2]

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

inlinenoexceptinherited

return number of shape functions

Member Data Documentation

numberShapeFunctions

template<class FunctionSpace , class GridPart , int polOrder, class Storage , bool hierarchicalOrdering>

const int Dune::Fem::LegendreDiscontinuousGalerkinSpaceTraits< FunctionSpace, GridPart, polOrder, Storage, hierarchicalOrdering >::ScalarShapeFunctionSet::numberShapeFunctions = Dune::power( int(polOrder+1), int(ScalarShapeFunctionSpaceType::dimDomain) )

static

order_

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

protectedinherited

shapeFunctions_

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

protectedinherited

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

• discontinuousgalerkin/legendre.hh