Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet > Class Template Reference

This class is a simple basis function set which is needed for global basis functions sets (Fourier space etc.). More...

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

Public Types
typedef LocalFunctionSetType::EntityType	EntityType
	entity type
typedef FunctionSpaceType::DomainType	DomainType
	range type
typedef FunctionSpaceType::RangeType	RangeType
	range type
typedef FunctionSpaceType::JacobianRangeType	JacobianRangeType
	jacobian range type
typedef FunctionSpaceType::HessianRangeType	HessianRangeType
	hessian range type
typedef Dune::ReferenceElement< typename EntityType::Geometry >	ReferenceElementType
	type of reference element

Public Member Functions
	SimpleBasisFunctionSet (const LocalFunctionSetType &localFunctionSet)
	constructor More...
int	order () const
	return order of basis function set
std::size_t	size () const
	return size of basis function set
decltype(auto)	referenceElement () const
	return reference element
template<class Quadrature , class Vector , class DofVector >
void	axpy (const Quadrature &quad, const Vector &values, DofVector &dofs) const
	evaluate all basis function and multiply with given values and add to dofs
template<class Quadrature , class VectorA , class VectorB , class DofVector >
void	axpy (const Quadrature &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
	Add H:D^2phi to each dof.
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 Quadrature , class DofVector , class RangeArray >
void	evaluateAll (const Quadrature &quad, const DofVector &dofs, RangeArray &ranges) const
	evaluate all basis functions and store the result in the ranges array
template<class Point , class DofVector >
void	evaluateAll (const Point &x, const DofVector &dofs, RangeType &value) const
	please doc me
template<class Point , class RangeArray >
void	evaluateAll (const Point &x, RangeArray &values) const
	please doc me
template<class Quadrature , class DofVector , class JacobianRangeArray >
void	jacobianAll (const Quadrature &quad, const DofVector &dofs, JacobianRangeArray &jacobians) const
	please doc me
template<class Point , class DofVector >
void	jacobianAll (const Point &x, const DofVector &dofs, JacobianRangeType &jacobian) const
	please doc me
template<class Point , class JacobianRangeArray >
void	jacobianAll (const Point &x, JacobianRangeArray &jacobians) const
	please doc me
template<class Point , class DofVector >
void	hessianAll (const Point &x, const DofVector &dofs, HessianRangeType &hessian) const
	please doc me
template<class Point , class HessianRangeArray >
void	hessianAll (const Point &x, HessianRangeArray &hessians) const
	please doc me
const EntityType &	entity () const
	return entity this basis function set was initialized on
const Geometry &	geometry () const
	return geometry this basis function set was initialized on
const LocalFunctionSetType	localFunctionSet () const
	return local function set

Detailed Description

template<class LocalFunctionSet>
class Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >

This class is a simple basis function set which is needed for global basis functions sets (Fourier space etc.).

Note

For localized basis function sets use the DefaultBasisFunctionSet.

Template Parameters

LocalFunctionSet

set of basis functions

Constructor & Destructor Documentation

SimpleBasisFunctionSet()

template<class LocalFunctionSet >

Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >::SimpleBasisFunctionSet ( const LocalFunctionSetType &  localFunctionSet )

inlineexplicit

constructor

Parameters

[in]

localFunctionSet

implementation of LocalFunctionSet

Member Function Documentation

axpy()

template<class LocalFunctionSet >

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

void Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >::axpy ( const Quadrature &  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::SimpleBasisFunctionSet< LocalFunctionSet >::axpy(), and Dune::Fem::IntegrationPointList< FieldImp, dim, IntegrationTraits >::nop().

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

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