Dune::Fem::GaussPts Class Reference

one-dimensional Gauss points and their weights More...

#include <dune/fem/quadrature/gausspoints.hh>

Inheritance diagram for Dune::Fem::GaussPts:

Public Member Functions
	GaussPts ()
	constructor initializing the Gauss points for all orders
double	point (int m, int i) const
	obtain the i-th point of the m-th quadrature
double	weight (int m, int i) const
	obtain the i-th weight of the m-th quadrature
int	order (int m) const
	obtain the order of the m-th quadrature
int	power (int y, int d) const
	a simple power method

Static Public Attributes
static const int	MAXP =10
	number of available quadratures
static const int	highestOrder =19
	highest quadrature order within the array

Protected Attributes
std::vector< std::vector< double > >	G
std::vector< std::vector< double > >	W
std::vector< int >	O

Detailed Description

one-dimensional Gauss points and their weights

GaussPtr is an array of one-dimensional Gauss quadratures for the interval [0,1]. The index of a quadrature equals its number of quadrature points (so there is no 0-th quadrature).

Note

This class implements the Singleton pattern

Constructor & Destructor Documentation

GaussPts()

Dune::Fem::GaussPts::GaussPts ( )

inline

constructor initializing the Gauss points for all orders

Member Function Documentation

order()

int Dune::Fem::QuadPtsBase::order ( int  m ) const

inlineinherited

obtain the order of the m-th quadrature

Parameters

[in]

m

index of the quadrature

Returns

a double representing the weight i-th Gauss point

point()

double Dune::Fem::QuadPtsBase::point ( int  m, int  i  ) const

inlineinherited

obtain the i-th point of the m-th quadrature

Parameters

[in]	m	index of the quadrature
[in]	i	number of the point within the quadrature (0 <= i < m)

Returns

a double in [0,1] representing the i-th Gauss point

power()

int Dune::Fem::QuadPtsBase::power ( int  y, int  d  ) const

inlineinherited

a simple power method

Note

This method does not use a template meta program

Parameters

[in]	y	base \(y\) of the power
[in]	d	exponent \(d\) of the power

Returns

\(y^d\)

weight()

double Dune::Fem::QuadPtsBase::weight ( int  m, int  i  ) const

inlineinherited

obtain the i-th weight of the m-th quadrature

Parameters

[in]	m	index of the quadrature
[in]	i	number of the weight within the quadrature (0 <= i < m)

Returns

a double representing the weight i-th Gauss point

Member Data Documentation

G

std::vector< std::vector< double > > Dune::Fem::QuadPtsBase::G

protectedinherited

highestOrder

const int Dune::Fem::GaussPts::highestOrder =19

static

highest quadrature order within the array

MAXP

const int Dune::Fem::GaussPts::MAXP =10

static

number of available quadratures

O

std::vector< int > Dune::Fem::QuadPtsBase::O

protectedinherited

W

std::vector< std::vector< double > > Dune::Fem::QuadPtsBase::W

protectedinherited

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

• gausspoints.hh
• gausspoints_implementation.hh