Dune::Fem::TransformedBasisFunctionSet< Entity, ShapeFunctionSet, Transformation > Class Template Reference

implementation of a basis function set for given entity More...

#include <dune/fem/space/basisfunctionset/transformed.hh>

Public Types
typedef Entity	EntityType
	entity type
typedef ShapeFunctionSet	ShapeFunctionSetType
	shape function set type
typedef ShapeFunctionSetType::FunctionSpaceType	FunctionSpaceType
	type of function space
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
typedef std::decay_t< decltype(Dune::ReferenceElements< ctype, GeometryType::coorddimension >::general(std::declval< const Dune::GeometryType & >())) >	ReferenceElementType
	type of reference element

Public Member Functions
	TransformedBasisFunctionSet ()
	constructor
	TransformedBasisFunctionSet (const EntityType &entity, const ShapeFunctionSet &shapeFunctionSet=ShapeFunctionSet())
	constructor
int	order () const
	return order of basis function set
std::size_t	size () const
	return size of basis function set
auto	referenceElement () const -> decltype(Dune::ReferenceElements< ctype, GeometryType::coorddimension >::general(std::declval< const Dune::GeometryType & >()))
	return reference element
template<class QuadratureType , class Vector , class DofVector >
void	axpy (const QuadratureType &quad, const Vector &values, DofVector &dofs) const
	evaluate all basis function and multiply with given values and add to dofs
template<class QuadratureType , class VectorA , class VectorB , class DofVector >
void	axpy (const QuadratureType &quad, const VectorA &valuesA, const VectorB &valuesB, DofVector &dofs) const
	evaluate all basis function and multiply with given values and add to dofs More...
template<class Point , class DofVector >
void	axpy (const Point &x, const RangeType &valueFactor, DofVector &dofs) const
	evaluate all basis function and multiply with given values and add to dofs
template<class Point , class DofVector >
void	axpy (const Point &x, const JacobianRangeType &jacobianFactor, DofVector &dofs) const
	evaluate all basis function and multiply with given values and add to dofs
template<class Point , class DofVector >
void	axpy (const Point &x, const HessianRangeType &hessianFactor, DofVector &dofs) const
	evaluate all basis function and multiply with given values and add to dofs
template<class Point , class DofVector >
void	axpy (const Point &x, const RangeType &valueFactor, const JacobianRangeType &jacobianFactor, DofVector &dofs) const
	evaluate all basis function and multiply with given values and add to dofs
template<class QuadratureType , class DofVector , class RangeArray >
void	evaluateAll (const QuadratureType &quad, const DofVector &dofs, RangeArray &ranges) const
template<class Point , class DofVector >
void	evaluateAll (const Point &x, const DofVector &dofs, RangeType &value) const
template<class Point , class RangeArray >
void	evaluateAll (const Point &x, RangeArray &values) const
template<class QuadratureType , class DofVector , class JacobianArray >
void	jacobianAll (const QuadratureType &quad, const DofVector &dofs, JacobianArray &jacobians) const
template<class Point , class DofVector >
void	jacobianAll (const Point &x, const DofVector &dofs, JacobianRangeType &jacobian) const
template<class Point , class JacobianRangeArray >
void	jacobianAll (const Point &x, JacobianRangeArray &jacobians) const
template<class Point , class DofVector , class HessianRange >
void	hessianAll (const Point &x, const DofVector &dofs, HessianRange &hessian) const
template<class Point , class HessianRangeArray >
void	hessianAll (const Point &x, HessianRangeArray &hessians) const
const Entity &	entity () const
	return entity
bool	valid () const
	return true if entity pointer is set
Dune::GeometryType	type () const
	return geometry type
const ShapeFunctionSetType &	shapeFunctionSet () const
	return shape function set

Detailed Description

template<class Entity, class ShapeFunctionSet, class Transformation>
class Dune::Fem::TransformedBasisFunctionSet< Entity, ShapeFunctionSet, Transformation >

implementation of a basis function set for given entity

Template Parameters

Entity	entity type
ShapeFunctionSet	shape function set
Transformation	transformation

Note

ShapeFunctionSet must be a copyable object. For most non-trivial implementations, you may want to use a proxy, see file

<dune/fem/space/shapefunctionset/proxy.hh>

Member Function Documentation

axpy()

template<class Entity , class ShapeFunctionSet , class Transformation >

template<class QuadratureType , class VectorA , class VectorB , class DofVector >

void Dune::Fem::TransformedBasisFunctionSet< Entity, ShapeFunctionSet, Transformation >::axpy ( const QuadratureType &  quad, const VectorA &  valuesA, const VectorB &  valuesB, DofVector &  dofs  ) const

inline

evaluate all basis function and multiply with given values and add to dofs

Note

valuesA and valuesB can be vectors of RangeType or JacobianRangeType

References Dune::Fem::TransformedBasisFunctionSet< Entity, ShapeFunctionSet, Transformation >::axpy().

evaluateAll() [1/3]

template<class Entity , class ShapeFunctionSet , class Transformation >

template<class Point , class DofVector >

void Dune::Fem::TransformedBasisFunctionSet< Entity, ShapeFunctionSet, Transformation >::evaluateAll ( const Point &  x, const DofVector &  dofs, RangeType &  value  ) const

inline

Todo:

please doc me

References Dune::Fem::ShapeFunctionSet< FunctionSpace >::evaluateEach(), and Dune::Fem::TransformedBasisFunctionSet< Entity, ShapeFunctionSet, Transformation >::shapeFunctionSet().

evaluateAll() [2/3]

template<class Entity , class ShapeFunctionSet , class Transformation >

template<class Point , class RangeArray >

void Dune::Fem::TransformedBasisFunctionSet< Entity, ShapeFunctionSet, Transformation >::evaluateAll ( const Point &  x, RangeArray &  values  ) const

inline

Todo:

please doc me

References Dune::Fem::ShapeFunctionSet< FunctionSpace >::evaluateEach(), Dune::Fem::TransformedBasisFunctionSet< Entity, ShapeFunctionSet, Transformation >::shapeFunctionSet(), and Dune::Fem::TransformedBasisFunctionSet< Entity, ShapeFunctionSet, Transformation >::size().

evaluateAll() [3/3]

template<class Entity , class ShapeFunctionSet , class Transformation >

template<class QuadratureType , class DofVector , class RangeArray >

void Dune::Fem::TransformedBasisFunctionSet< Entity, ShapeFunctionSet, Transformation >::evaluateAll ( const QuadratureType &  quad, const DofVector &  dofs, RangeArray &  ranges  ) const

inline

References Dune::Fem::TransformedBasisFunctionSet< Entity, ShapeFunctionSet, Transformation >::evaluateAll().

Referenced by Dune::Fem::TransformedBasisFunctionSet< Entity, ShapeFunctionSet, Transformation >::evaluateAll().

hessianAll() [1/2]

template<class Entity , class ShapeFunctionSet , class Transformation >

template<class Point , class DofVector , class HessianRange >

void Dune::Fem::TransformedBasisFunctionSet< Entity, ShapeFunctionSet, Transformation >::hessianAll ( const Point &  x, const DofVector &  dofs, HessianRange &  hessian  ) const

inline

Todo:

please doc me

References DUNE_THROW.

hessianAll() [2/2]

template<class Entity , class ShapeFunctionSet , class Transformation >

template<class Point , class HessianRangeArray >

void Dune::Fem::TransformedBasisFunctionSet< Entity, ShapeFunctionSet, Transformation >::hessianAll ( const Point &  x, HessianRangeArray &  hessians  ) const

inline

Todo:

please doc me

References DUNE_THROW.

jacobianAll() [1/3]

template<class Entity , class ShapeFunctionSet , class Transformation >

template<class Point , class DofVector >

void Dune::Fem::TransformedBasisFunctionSet< Entity, ShapeFunctionSet, Transformation >::jacobianAll ( const Point &  x, const DofVector &  dofs, JacobianRangeType &  jacobian  ) const

inline

Todo:

please doc me

References Dune::Fem::ShapeFunctionSet< FunctionSpace >::jacobianEach(), and Dune::Fem::TransformedBasisFunctionSet< Entity, ShapeFunctionSet, Transformation >::shapeFunctionSet().

jacobianAll() [2/3]

template<class Entity , class ShapeFunctionSet , class Transformation >

template<class Point , class JacobianRangeArray >

void Dune::Fem::TransformedBasisFunctionSet< Entity, ShapeFunctionSet, Transformation >::jacobianAll ( const Point &  x, JacobianRangeArray &  jacobians  ) const

inline

Todo:

please doc me

References Dune::Fem::ShapeFunctionSet< FunctionSpace >::jacobianEach(), Dune::Fem::TransformedBasisFunctionSet< Entity, ShapeFunctionSet, Transformation >::shapeFunctionSet(), and Dune::Fem::TransformedBasisFunctionSet< Entity, ShapeFunctionSet, Transformation >::size().

jacobianAll() [3/3]

template<class Entity , class ShapeFunctionSet , class Transformation >

template<class QuadratureType , class DofVector , class JacobianArray >

void Dune::Fem::TransformedBasisFunctionSet< Entity, ShapeFunctionSet, Transformation >::jacobianAll ( const QuadratureType &  quad, const DofVector &  dofs, JacobianArray &  jacobians  ) const

inline

References Dune::Fem::TransformedBasisFunctionSet< Entity, ShapeFunctionSet, Transformation >::jacobianAll().

Referenced by Dune::Fem::TransformedBasisFunctionSet< Entity, ShapeFunctionSet, Transformation >::jacobianAll().

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

• dune/fem/space/basisfunctionset/transformed.hh