Dune::PB Namespace Reference

Classes
struct	BasisTraits
struct	BasisTraits< BasisType::Pk >
struct	BasisTraits< BasisType::Qk >
struct	MonomialEvaluate
	compute More...
struct	MonomialEvaluate< F, 0 >
class	MonomialIntegrator
	Integrate monomials over the reference element. More...
class	MonomialIntegrator< ComputationFieldType, Dune::GeometryType::cube, d >
	Integrate monomials over the cube in any d. More...
class	MonomialIntegrator< ComputationFieldType, Dune::GeometryType::simplex, 1 >
	Integrate monomials over the unit interval considered as a simplex. More...
class	MonomialIntegrator< ComputationFieldType, Dune::GeometryType::simplex, 2 >
	Integrate monomials over the triangle. More...
class	MonomialIntegrator< ComputationFieldType, Dune::GeometryType::simplex, 3 >
	Integrate monomials over the tetrahedron. More...
class	MultiIndex
class	OrthonormalPolynomialBasis
	Integrate monomials over the reference element. More...
struct	PkExactSize
struct	PkExactSize< 0, d >
struct	PkSize
struct	PkSize< 0, 1 >
struct	PkSize< 0, d >
struct	PkSize< k, 1 >
struct	PkSizeHelper
struct	PkSizeHelper< 0, k, d >
struct	QkSize
struct	QkSize< 0, 1 >
struct	QkSize< 0, d >
struct	QkSize< k, 1 >

Enumerations
enum	BasisType { Pk, Qk }

Functions
int	pk_size (int k, int d)
int	pk_size_exact (int k, int d)
template<int d>
void	pk_enumerate_multiindex (MultiIndex< d > &alpha, int &count, int norm, int dim, int k, int i)
template<int d>
void	pk_multiindex (int i, MultiIndex< d > &alpha)
int	qk_size (int k, int d)
template<int d>
void	qk_multiindex (int i, int k, MultiIndex< d > &alpha)
long	binomial (long n, long k)
	compute binomial coefficient "n over k" More...

Enumeration Type Documentation

enum Dune::PB::BasisType

Enumerator
Pk
Qk

Function Documentation

long Dune::PB::binomial ( long  n, long  k  )

inline

compute binomial coefficient "n over k"

Referenced by Dune::PB::MonomialIntegrator< ComputationFieldType, Dune::GeometryType::simplex, 2 >::integrate(), and Dune::PB::MonomialIntegrator< ComputationFieldType, Dune::GeometryType::simplex, 3 >::integrate().

template<int d>

void Dune::PB::pk_enumerate_multiindex	(	MultiIndex< d > &	alpha,
		int &	count,
		int	norm,
		int	dim,
		int	k,
		int	i
	)

References dim.

Referenced by pk_multiindex().

template<int d>

void Dune::PB::pk_multiindex	(	int	i,
		MultiIndex< d > &	alpha
	)

References pk_enumerate_multiindex(), and pk_size().

Referenced by Dune::PB::BasisTraits< BasisType::Pk >::multiindex().

int Dune::PB::pk_size ( int  k, int  d  )

inline

Referenced by pk_multiindex(), pk_size_exact(), and Dune::PB::BasisTraits< BasisType::Pk >::size().

int Dune::PB::pk_size_exact ( int  k, int  d  )

inline

References pk_size().

template<int d>

void Dune::PB::qk_multiindex	(	int	i,
		int	k,
		MultiIndex< d > &	alpha
	)

Referenced by Dune::PB::BasisTraits< BasisType::Qk >::multiindex().

int Dune::PB::qk_size ( int  k, int  d  )

inline

Referenced by Dune::PB::BasisTraits< BasisType::Qk >::size().