DUNE-FEM (unstable)

Public Types | Public Member Functions | Protected Member Functions | List of all members
Dune::Fem::DefaultBasisFunctionSet< Entity, ShapeFunctionSet > Class Template Reference

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

Public Types

typedef BaseType::EntityType EntityType
 entity type
 
typedef BaseType::Geometry Geometry
 geometry
 
typedef Geometry::ctype ctype
 type of coordinate field
 
typedef BaseType::ShapeFunctionSetType ShapeFunctionSetType
 shape function set type
 
typedef ToNewDimDomainFunctionSpace< LocalFunctionSpaceType, Geometry::coorddimension >::Type FunctionSpaceType
 type of function space
 
typedef FunctionSpaceType::RangeType RangeType
 range type
 
typedef FunctionSpaceType::DomainType DomainType
 domain type
 
typedef FunctionSpaceType::JacobianRangeType JacobianRangeType
 jacobian range type
 
typedef FunctionSpaceType::HessianRangeType HessianRangeType
 hessian range type
 
typedef std::decay_t< decltype(Dune::ReferenceElements< ctype, Geometry::coorddimension >::general(std::declval< const Dune::GeometryType & >())) > ReferenceElementType
 type of reference element
 

Public Member Functions

 DefaultBasisFunctionSet ()
 constructor
 
 DefaultBasisFunctionSet (const EntityType &entity, const ShapeFunctionSet &shapeFunctionSet=ShapeFunctionSet())
 constructor
 
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 derivatives of 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 derivatives 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 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 QuadratureType , class DofVector , class HessianArray >
void hessianAll (const QuadratureType &quad, const DofVector &dofs, HessianArray &hessians) const
 
template<class Point , class DofVector >
void hessianAll (const Point &x, const DofVector &dofs, HessianRangeType &hessian) const
 
template<class Point , class HessianRangeArray >
void hessianAll (const Point &x, HessianRangeArray &hessians) const
 
const ShapeFunctionSetType & shapeFunctionSet () const
 return shape function set
 
int order () const
 return order of basis function set
 
std::size_t size () const
 return size of basis function set
 
const Entity & entity () const
 return entity
 
bool valid () const
 return true if entity pointer is set
 
const Geometry & geometry () const
 return geometry
 
Dune::GeometryType type () const
 return geometry type
 
const ReferenceElementType & referenceElement () const
 return reference element
 
void bind (const EntityType &entity)
 set new entity object and geometry if enabled
 
void unbind ()
 release entity and geometry object
 

Protected Member Functions

template<class QuadratureType , class RangeArray , class DofVector >
void axpyImpl (const QuadratureType &quad, const RangeArray &rangeFactors, DofVector &dofs, const RangeType &) const
 evaluate all basis function and multiply with given values and add to dofs
 
template<class QuadratureType , class JacobianArray , class DofVector >
void axpyImpl (const QuadratureType &quad, const JacobianArray &jacobianFactors, DofVector &dofs, const JacobianRangeType &) const
 evaluate all basis function and multiply with given values and add to dofs
 
template<class QuadratureType , class HessianArray , class DofVector >
void axpyImpl (const QuadratureType &quad, const HessianArray &hessianFactors, DofVector &dofs, const HessianRangeType &) const
 evaluate all basis function and multiply with given values and add to dofs
 

Detailed Description

template<class Entity, class ShapeFunctionSet>
class Dune::Fem::DefaultBasisFunctionSet< Entity, ShapeFunctionSet >
   \brief implementation of a basis function set for given entity

   \tparam  Entity            entity type
   \tparam  ShapeFunctionSet  shape function set

   \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 >
template<class QuadratureType , class VectorA , class VectorB , class DofVector >
void Dune::Fem::DefaultBasisFunctionSet< Entity, ShapeFunctionSet >::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::DefaultBasisFunctionSet< Entity, ShapeFunctionSet >::axpyImpl().

◆ evaluateAll() [1/3]

template<class Entity , class ShapeFunctionSet >
template<class Point , class DofVector >
void Dune::Fem::DefaultBasisFunctionSet< Entity, ShapeFunctionSet >::evaluateAll ( const Point &  x,
const DofVector &  dofs,
RangeType &  value 
) const
inline
Todo:
please doc me

◆ evaluateAll() [2/3]

template<class Entity , class ShapeFunctionSet >
template<class Point , class RangeArray >
void Dune::Fem::DefaultBasisFunctionSet< Entity, ShapeFunctionSet >::evaluateAll ( const Point &  x,
RangeArray &  values 
) const
inline
Todo:
please doc me

◆ evaluateAll() [3/3]

template<class Entity , class ShapeFunctionSet >
template<class QuadratureType , class DofVector , class RangeArray >
void Dune::Fem::DefaultBasisFunctionSet< Entity, ShapeFunctionSet >::evaluateAll ( const QuadratureType &  quad,
const DofVector &  dofs,
RangeArray &  ranges 
) const
inline

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

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

◆ hessianAll() [1/3]

template<class Entity , class ShapeFunctionSet >
template<class Point , class DofVector >
void Dune::Fem::DefaultBasisFunctionSet< Entity, ShapeFunctionSet >::hessianAll ( const Point &  x,
const DofVector &  dofs,
HessianRangeType &  hessian 
) const
inline
Todo:
please doc me

References Dune::Fem::EntityGeometryStorageImpl< Entity, storeGeometry >::geometry().

◆ hessianAll() [2/3]

template<class Entity , class ShapeFunctionSet >
template<class Point , class HessianRangeArray >
void Dune::Fem::DefaultBasisFunctionSet< Entity, ShapeFunctionSet >::hessianAll ( const Point &  x,
HessianRangeArray &  hessians 
) const
inline
Todo:
please doc me

References Dune::Fem::EntityGeometryStorageImpl< Entity, storeGeometry >::geometry().

◆ hessianAll() [3/3]

template<class Entity , class ShapeFunctionSet >
template<class QuadratureType , class DofVector , class HessianArray >
void Dune::Fem::DefaultBasisFunctionSet< Entity, ShapeFunctionSet >::hessianAll ( const QuadratureType &  quad,
const DofVector &  dofs,
HessianArray &  hessians 
) const
inline
Todo:
please doc me

References Dune::Fem::DefaultBasisFunctionSet< Entity, ShapeFunctionSet >::hessianAll().

Referenced by Dune::Fem::DefaultBasisFunctionSet< Entity, ShapeFunctionSet >::hessianAll().

◆ jacobianAll() [1/3]

template<class Entity , class ShapeFunctionSet >
template<class Point , class DofVector >
void Dune::Fem::DefaultBasisFunctionSet< Entity, ShapeFunctionSet >::jacobianAll ( const Point &  x,
const DofVector &  dofs,
JacobianRangeType &  jacobian 
) const
inline
Todo:
please doc me

References Dune::Fem::EntityGeometryStorageImpl< Entity, storeGeometry >::geometry().

◆ jacobianAll() [2/3]

template<class Entity , class ShapeFunctionSet >
template<class Point , class JacobianRangeArray >
void Dune::Fem::DefaultBasisFunctionSet< Entity, ShapeFunctionSet >::jacobianAll ( const Point &  x,
JacobianRangeArray &  jacobians 
) const
inline
Todo:
please doc me

References Dune::Fem::EntityGeometryStorageImpl< Entity, storeGeometry >::geometry().

◆ jacobianAll() [3/3]

template<class Entity , class ShapeFunctionSet >
template<class QuadratureType , class DofVector , class JacobianArray >
void Dune::Fem::DefaultBasisFunctionSet< Entity, ShapeFunctionSet >::jacobianAll ( const QuadratureType &  quad,
const DofVector &  dofs,
JacobianArray &  jacobians 
) const
inline

References Dune::Fem::EntityGeometryStorageImpl< Entity, storeGeometry >::geometry(), and Dune::Fem::DefaultBasisFunctionSet< Entity, ShapeFunctionSet >::jacobianAll().

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

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