#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
template<class Fy>
using	HessianFyType = FieldVector<FieldMatrix<Fy,dimension,dimension>,dimRange>
using	HessianType = HessianFyType<R>

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
unsigned int	order () const
unsigned int	size () const
void	evaluateFunction (const typename Traits::DomainType &x, std::vector< typename Traits::RangeType > &out) const
	Evaluate all shape functions.
void	evaluateJacobian (const typename Traits::DomainType &x, std::vector< typename Traits::JacobianType > &out) const
	Evaluate Jacobian of all shape functions.
void	evaluateHessian (const typename Traits::DomainType &x, std::vector< HessianType > &out) const
	Evaluate Jacobian of all shape functions.
void	partial (const std::array< unsigned int, dimension > &order, const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
	Evaluate partial derivatives of all shape functions.
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	hessian (const DomainVector &x, std::vector< HessianFyType< Fy > > &values) const
template<class DVector, class HVector>
void	hessian (const DVector &x, HVector &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

◆ Basis

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

◆ CoefficientMatrix

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

◆ DomainVector

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

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

inherited

◆ HessianFyType

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

template<class Fy>

using Dune::PolynomialBasis< Eval, CM, D, R >::HessianFyType = FieldVector<FieldMatrix<Fy,dimension,dimension>,dimRange>

inherited

◆ HessianType

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

using Dune::PolynomialBasis< Eval, CM, D, R >::HessianType = HessianFyType<R>

inherited

◆ StorageField

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

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

inherited

◆ Traits

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

◆ PolynomialBasisWithMatrix()

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

◆ basis()

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

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

inlineinherited

◆ evaluate() [1/5]

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

◆ evaluate() [2/5]

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

◆ evaluate() [3/5]

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

◆ evaluate() [4/5]

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

◆ evaluate() [5/5]

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

◆ evaluateFunction()

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.

◆ evaluateHessian()

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

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

inlineinherited

Evaluate Jacobian of all shape functions.

◆ evaluateJacobian()

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.

◆ evaluateSingle() [1/3]

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

◆ evaluateSingle() [2/3]

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

◆ evaluateSingle() [3/3]

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

◆ fill() [1/2]

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

◆ fill() [2/2]

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

◆ hessian() [1/2]

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

template<class Fy>

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

inlineinherited

◆ hessian() [2/2]

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

template<class DVector, class HVector>

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

inlineinherited

◆ integrate()

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

◆ jacobian() [1/2]

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

◆ jacobian() [2/2]

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

◆ matrix()

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

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

inlineinherited

◆ order()

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

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

inlineinherited

◆ partial()

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

void Dune::PolynomialBasis< Eval, CM, D, R >::partial	(	const std::array< unsigned int, dimension > &	order,
		const typename Traits::DomainType &	in,
		std::vector< typename Traits::RangeType > &	out ) const

inlineinherited

Evaluate partial derivatives of all shape functions.

◆ size()

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

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

inlineinherited

Member Data Documentation

◆ basis_

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

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

protectedinherited

◆ dimension

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

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

staticinherited

◆ dimRange

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

◆ eval_

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

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

mutableprotectedinherited

◆ order_

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

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

protectedinherited

◆ size_

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

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

protectedinherited

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

polynomialbasis.hh

Public Types

Public Member Functions

Static Public Attributes

Protected Attributes

Detailed Description

Member Typedef Documentation

◆ Basis

◆ CoefficientMatrix

◆ DomainVector

◆ HessianFyType

◆ HessianType

◆ StorageField

◆ Traits

Constructor & Destructor Documentation

◆ PolynomialBasisWithMatrix()

Member Function Documentation

◆ basis()

◆ evaluate() [1/5]

◆ evaluate() [2/5]

◆ evaluate() [3/5]

◆ evaluate() [4/5]

◆ evaluate() [5/5]

◆ evaluateFunction()

◆ evaluateHessian()

◆ evaluateJacobian()

◆ evaluateSingle() [1/3]

◆ evaluateSingle() [2/3]

◆ evaluateSingle() [3/3]

◆ fill() [1/2]

◆ fill() [2/2]

◆ hessian() [1/2]

◆ hessian() [2/2]

◆ integrate()

◆ jacobian() [1/2]

◆ jacobian() [2/2]

◆ matrix()

◆ order()

◆ partial()

◆ size()

Member Data Documentation

◆ basis_

◆ dimension

◆ dimRange

◆ eval_

◆ order_

◆ size_