Dune::PolynomialBasisWithMatrix< Eval, CM, D, R > Class Template Reference

#include <dune/localfunctions/utility/polynomialbasis.hh>

Inheritance diagram for Dune::PolynomialBasisWithMatrix< Eval, CM, D, R >:

Public Types
typedef CM	CoefficientMatrix
typedef Base::Basis	Basis
typedef CoefficientMatrix::Field	StorageField
typedef LocalBasisTraits< D, dimension, FieldVector< D, dimension >, R, dimRange, FieldVector< R, dimRange > , FieldMatrix< R, dimRange, dimension > >	Traits
typedef Evaluator::DomainVector	DomainVector

Public Member Functions
	PolynomialBasisWithMatrix (const Basis &basis)
template<class Matrix >
void	fill (const Matrix &matrix)
template<class Matrix >
void	fill (const Matrix &matrix, int size)
const Basis &	basis () const
const CoefficientMatrix &	matrix () const
const unsigned int	order () const
const unsigned int	size () const
void	evaluateFunction (const typename Traits::DomainType &x, std::vector< typename Traits::RangeType > &out) const
	Evaluate all shape functions. More...
void	evaluateJacobian (const typename Traits::DomainType &x, std::vector< typename Traits::JacobianType > &out) const
	Evaluate Jacobian of all shape functions. More...
template<unsigned int deriv, class F >
void	evaluate (const DomainVector &x, F *values) const
template<unsigned int deriv, class DVector , class F >
void	evaluate (const DVector &x, F *values) const
template<unsigned int deriv, class DVector , class RVector >
void	evaluate (const DVector &x, RVector &values) const
template<class Fy >
void	evaluate (const DomainVector &x, std::vector< FieldVector< Fy, dimRange > > &values) const
template<class DVector , class RVector >
void	evaluate (const DVector &x, RVector &values) const
template<unsigned int deriv, class Vector >
void	evaluateSingle (const DomainVector &x, Vector &values) const
template<unsigned int deriv, class Fy >
void	evaluateSingle (const DomainVector &x, std::vector< FieldVector< FieldVector< Fy, LFETensor< Fy, dimension, deriv >::size >, dimRange > > &values) const
template<unsigned int deriv, class Fy >
void	evaluateSingle (const DomainVector &x, std::vector< FieldVector< LFETensor< Fy, dimension, deriv >, dimRange > > &values) const
template<class Fy >
void	jacobian (const DomainVector &x, std::vector< FieldMatrix< Fy, dimRange, dimension > > &values) const
template<class DVector , class RVector >
void	jacobian (const DVector &x, RVector &values) const
template<class Fy >
void	integrate (std::vector< Fy > &values) const

Static Public Attributes
static const unsigned int	dimension = Evaluator::dimension
static const unsigned int	dimRange = Evaluator::dimRange*CoefficientMatrix::blockSize

Protected Attributes
const Basis &	basis_
Evaluator	eval_
unsigned int	order_
unsigned int	size_

Detailed Description

template<class Eval, class CM = SparseCoeffMatrix<typename Eval::Field,Eval::dimRange>, class D = double, class R = double>
class Dune::PolynomialBasisWithMatrix< Eval, CM, D, R >

Specialized version of PolynomialBasis with FieldMatrix for matrix coefficience and std::vector for container type with FieldVector as value type. This class stores the coefficient matrix with can be constructed via the fill method

Member Typedef Documentation

template<class Eval , class CM = SparseCoeffMatrix<typename Eval::Field,Eval::dimRange>, class D = double, class R = double>

typedef Base::Basis Dune::PolynomialBasisWithMatrix< Eval, CM, D, R >::Basis

template<class Eval , class CM = SparseCoeffMatrix<typename Eval::Field,Eval::dimRange>, class D = double, class R = double>

typedef CM Dune::PolynomialBasisWithMatrix< Eval, CM, D, R >::CoefficientMatrix

template<class Eval , class CM , class D = double, class R = double>

typedef Evaluator::DomainVector Dune::PolynomialBasis< Eval, CM, D, R >::DomainVector

inherited

template<class Eval , class CM , class D = double, class R = double>

typedef CoefficientMatrix::Field Dune::PolynomialBasis< Eval, CM, D, R >::StorageField

inherited

template<class Eval , class CM , class D = double, class R = double>

typedef LocalBasisTraits<D,dimension,FieldVector<D,dimension>, R,dimRange,FieldVector<R,dimRange>, FieldMatrix<R,dimRange,dimension> > Dune::PolynomialBasis< Eval, CM, D, R >::Traits

inherited

Constructor & Destructor Documentation

template<class Eval , class CM = SparseCoeffMatrix<typename Eval::Field,Eval::dimRange>, class D = double, class R = double>

Dune::PolynomialBasisWithMatrix< Eval, CM, D, R >::PolynomialBasisWithMatrix ( const Basis &  basis )

inline

Member Function Documentation

template<class Eval , class CM , class D = double, class R = double>

const Basis& Dune::PolynomialBasis< Eval, CM, D, R >::basis ( ) const

inlineinherited

References Dune::PolynomialBasis< Eval, CM, D, R >::basis_.

template<class Eval , class CM , class D = double, class R = double>

template<unsigned int deriv, class F >

void Dune::PolynomialBasis< Eval, CM, D, R >::evaluate ( const DomainVector &  x, F *  values  ) const

inlineinherited

References Dune::PolynomialBasis< Eval, CM, D, R >::coeffMatrix_, Dune::PolynomialBasis< Eval, CM, D, R >::eval_, and Dune::PolynomialBasis< Eval, CM, D, R >::size().

Referenced by Dune::PolynomialBasis< Eval, CM, D, R >::evaluateFunction().

template<class Eval , class CM , class D = double, class R = double>

template<unsigned int deriv, class DVector , class F >

void Dune::PolynomialBasis< Eval, CM, D, R >::evaluate ( const DVector &  x, F *  values  ) const

inlineinherited

References Dune::PolynomialBasis< Eval, CM, D, R >::dimension, and Dune::field_cast().

template<class Eval , class CM , class D = double, class R = double>

template<unsigned int deriv, class DVector , class RVector >

void Dune::PolynomialBasis< Eval, CM, D, R >::evaluate ( const DVector &  x, RVector &  values  ) const

inlineinherited

References Dune::PolynomialBasis< Eval, CM, D, R >::Convert< dummy, DVector >::apply(), Dune::PolynomialBasis< Eval, CM, D, R >::coeffMatrix_, Dune::PolynomialBasis< Eval, CM, D, R >::eval_, and Dune::PolynomialBasis< Eval, CM, D, R >::size().

template<class Eval , class CM , class D = double, class R = double>

template<class Fy >

void Dune::PolynomialBasis< Eval, CM, D, R >::evaluate ( const DomainVector &  x, std::vector< FieldVector< Fy, dimRange > > &  values  ) const

inlineinherited

template<class Eval , class CM , class D = double, class R = double>

template<class DVector , class RVector >

void Dune::PolynomialBasis< Eval, CM, D, R >::evaluate ( const DVector &  x, RVector &  values  ) const

inlineinherited

References Dune::PolynomialBasis< Eval, CM, D, R >::dimension, and Dune::field_cast().

template<class Eval , class CM , class D = double, class R = double>

void Dune::PolynomialBasis< Eval, CM, D, R >::evaluateFunction ( const typename Traits::DomainType &  x, std::vector< typename Traits::RangeType > &  out  ) const

inlineinherited

Evaluate all shape functions.

References Dune::PolynomialBasis< Eval, CM, D, R >::evaluate(), and Dune::PolynomialBasis< Eval, CM, D, R >::size().

template<class Eval , class CM , class D = double, class R = double>

void Dune::PolynomialBasis< Eval, CM, D, R >::evaluateJacobian ( const typename Traits::DomainType &  x, std::vector< typename Traits::JacobianType > &  out  ) const

inlineinherited

Evaluate Jacobian of all shape functions.

References Dune::PolynomialBasis< Eval, CM, D, R >::jacobian(), and Dune::PolynomialBasis< Eval, CM, D, R >::size().

template<class Eval , class CM , class D = double, class R = double>

template<unsigned int deriv, class Vector >

void Dune::PolynomialBasis< Eval, CM, D, R >::evaluateSingle ( const DomainVector &  x, Vector &  values  ) const

inlineinherited

References Dune::PolynomialBasis< Eval, CM, D, R >::coeffMatrix_, Dune::PolynomialBasis< Eval, CM, D, R >::eval_, and Dune::PolynomialBasis< Eval, CM, D, R >::size().

template<class Eval , class CM , class D = double, class R = double>

template<unsigned int deriv, class Fy >

void Dune::PolynomialBasis< Eval, CM, D, R >::evaluateSingle ( const DomainVector &  x, std::vector< FieldVector< FieldVector< Fy, LFETensor< Fy, dimension, deriv >::size >, dimRange > > &  values  ) const

inlineinherited

References Dune::PolynomialBasis< Eval, CM, D, R >::dimRange.

template<class Eval , class CM , class D = double, class R = double>

template<unsigned int deriv, class Fy >

void Dune::PolynomialBasis< Eval, CM, D, R >::evaluateSingle ( const DomainVector &  x, std::vector< FieldVector< LFETensor< Fy, dimension, deriv >, dimRange > > &  values  ) const

inlineinherited

References Dune::PolynomialBasis< Eval, CM, D, R >::dimRange.

template<class Eval , class CM = SparseCoeffMatrix<typename Eval::Field,Eval::dimRange>, class D = double, class R = double>

template<class Matrix >

void Dune::PolynomialBasisWithMatrix< Eval, CM, D, R >::fill ( const Matrix &  matrix )

inline

References Dune::PolynomialBasis< Eval, CM, D, R >::size_.

template<class Eval , class CM = SparseCoeffMatrix<typename Eval::Field,Eval::dimRange>, class D = double, class R = double>

template<class Matrix >

void Dune::PolynomialBasisWithMatrix< Eval, CM, D, R >::fill ( const Matrix &  matrix, int  size  )

inline

References Dune::PolynomialBasis< Eval, CM, D, R >::size(), and Dune::PolynomialBasis< Eval, CM, D, R >::size_.

template<class Eval , class CM , class D = double, class R = double>

template<class Fy >

void Dune::PolynomialBasis< Eval, CM, D, R >::integrate ( std::vector< Fy > &  values ) const

inlineinherited

References Dune::PolynomialBasis< Eval, CM, D, R >::coeffMatrix_, Dune::PolynomialBasis< Eval, CM, D, R >::eval_, and Dune::PolynomialBasis< Eval, CM, D, R >::size().

template<class Eval , class CM , class D = double, class R = double>

template<class Fy >

void Dune::PolynomialBasis< Eval, CM, D, R >::jacobian ( const DomainVector &  x, std::vector< FieldMatrix< Fy, dimRange, dimension > > &  values  ) const

inlineinherited

References Dune::PolynomialBasis< Eval, CM, D, R >::size().

Referenced by Dune::PolynomialBasis< Eval, CM, D, R >::evaluateJacobian(), and Dune::PolynomialBasis< Eval, CM, D, R >::jacobian().

template<class Eval , class CM , class D = double, class R = double>

template<class DVector , class RVector >

void Dune::PolynomialBasis< Eval, CM, D, R >::jacobian ( const DVector &  x, RVector &  values  ) const

inlineinherited

References Dune::PolynomialBasis< Eval, CM, D, R >::dimension, Dune::field_cast(), and Dune::PolynomialBasis< Eval, CM, D, R >::jacobian().

template<class Eval , class CM , class D = double, class R = double>

const CoefficientMatrix& Dune::PolynomialBasis< Eval, CM, D, R >::matrix ( ) const

inlineinherited

References Dune::PolynomialBasis< Eval, CM, D, R >::coeffMatrix_.

template<class Eval , class CM , class D = double, class R = double>

const unsigned int Dune::PolynomialBasis< Eval, CM, D, R >::order ( ) const

inlineinherited

References Dune::PolynomialBasis< Eval, CM, D, R >::order_.

template<class Eval , class CM , class D = double, class R = double>

const unsigned int Dune::PolynomialBasis< Eval, CM, D, R >::size ( ) const

inlineinherited

References Dune::PolynomialBasis< Eval, CM, D, R >::size_.

Referenced by Dune::basisPrint(), Dune::RaviartThomasL2Interpolation< dimension, F >::build(), Dune::PolynomialBasis< Eval, CM, D, R >::evaluate(), Dune::PolynomialBasis< Eval, CM, D, R >::evaluateFunction(), Dune::PolynomialBasis< Eval, CM, D, R >::evaluateJacobian(), Dune::PolynomialBasis< Eval, CM, D, R >::evaluateSingle(), Dune::PolynomialBasisWithMatrix< Eval, CM, D, R >::fill(), Dune::PolynomialBasis< Eval, CM, D, R >::integrate(), Dune::RaviartThomasL2Interpolation< dimension, F >::interpolate(), Dune::PolynomialBasis< Eval, CM, D, R >::jacobian(), and Dune::RaviartThomasL2Interpolation< dimension, F >::setLocalKeys().

Member Data Documentation

template<class Eval , class CM , class D = double, class R = double>

const Basis& Dune::PolynomialBasis< Eval, CM, D, R >::basis_

protectedinherited

Referenced by Dune::PolynomialBasis< Eval, CM, D, R >::basis().

template<class Eval , class CM , class D = double, class R = double>

const unsigned int Dune::PolynomialBasis< Eval, CM, D, R >::dimension = Evaluator::dimension

staticinherited

Referenced by Dune::PolynomialBasis< Eval, CM, D, R >::Convert< dummy, DVector >::apply(), Dune::PolynomialBasis< Eval, CM, D, R >::evaluate(), and Dune::PolynomialBasis< Eval, CM, D, R >::jacobian().

template<class Eval , class CM , class D = double, class R = double>

const unsigned int Dune::PolynomialBasis< Eval, CM, D, R >::dimRange = Evaluator::dimRange*CoefficientMatrix::blockSize

staticinherited

Referenced by Dune::PolynomialBasis< Eval, CM, D, R >::evaluateSingle().

template<class Eval , class CM , class D = double, class R = double>

Evaluator Dune::PolynomialBasis< Eval, CM, D, R >::eval_

mutableprotectedinherited

Referenced by Dune::PolynomialBasis< Eval, CM, D, R >::evaluate(), Dune::PolynomialBasis< Eval, CM, D, R >::evaluateSingle(), and Dune::PolynomialBasis< Eval, CM, D, R >::integrate().

template<class Eval , class CM , class D = double, class R = double>

unsigned int Dune::PolynomialBasis< Eval, CM, D, R >::order_

protectedinherited

Referenced by Dune::PolynomialBasis< Eval, CM, D, R >::order().

template<class Eval , class CM , class D = double, class R = double>

unsigned int Dune::PolynomialBasis< Eval, CM, D, R >::size_

protectedinherited

Referenced by Dune::PolynomialBasisWithMatrix< Eval, CM, D, R >::fill(), and Dune::PolynomialBasis< Eval, CM, D, R >::size().

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

• polynomialbasis.hh