ug::QuadratureRule< TDim > Class Template Reference

provides quadrature rule for a Reference Dimension More...

#include <quadrature.h>

Public Types
typedef MathVector< dim >	position_type
	Position Type in Reference Element Space.
typedef number	weight_type
	Type of weights.

Public Member Functions
size_t	order () const
	returns the order
const MathVector< dim > &	point (size_t i) const
	returns i'th integration point
const MathVector< dim > *	points () const
	returns all positions in an array of size()
	QuadratureRule ()
	constructor
size_t	size () const
	number of integration points
number	weight (size_t i) const
	return the i'th weight
const number *	weights () const
	returns all weights in an array of size()
virtual	~QuadratureRule ()
	destructor

Static Public Attributes
static const int	dim = TDim
	Dimension of Reference Element.

Protected Attributes
size_t	m_numPoints
	number of points
int	m_order
	Order of rule.
const MathVector< dim > *	m_pvPoint
	Integration points.
const number *	m_pvWeight
	Weights.

Detailed Description

template<int TDim>
class ug::QuadratureRule< TDim >

provides quadrature rule for a Reference Dimension

A Quadrature Rule provides for a given Reference Element integration points and weights. An Integral over the Reference Element T is approximated by

\[ \int\limits_T f(\mathbf{x}) \; d\mathbf{x} \approx \sum_{i=0}^{n-1} f(\mathbf{x}_{i}) \cdot w_i \]

with the \(n\) integration points \(\mathbf{x}_i\) and weights \( w_i \).

Template Parameters

TDim	Dimension of Reference Element

Member Typedef Documentation

position_type

template<int TDim>

typedef MathVector<dim> ug::QuadratureRule< TDim >::position_type

Position Type in Reference Element Space.

weight_type

template<int TDim>

typedef number ug::QuadratureRule< TDim >::weight_type

Type of weights.

Constructor & Destructor Documentation

QuadratureRule()

template<int TDim>

ug::QuadratureRule< TDim >::QuadratureRule ( )

inline

constructor

~QuadratureRule()

template<int TDim>

virtual ug::QuadratureRule< TDim >::~QuadratureRule ( )

inlinevirtual

destructor

Member Function Documentation

order()

template<int TDim>

size_t ug::QuadratureRule< TDim >::order ( ) const

inline

returns the order

References ug::QuadratureRule< TDim >::m_order.

Referenced by ug::GaussQuadratureHexahedron::GaussQuadratureHexahedron(), ug::GaussQuadratureOctahedron::GaussQuadratureOctahedron(), ug::GaussQuadraturePrism::GaussQuadraturePrism(), ug::GaussQuadraturePyramid::GaussQuadraturePyramid(), ug::GaussQuadratureQuadrilateral::GaussQuadratureQuadrilateral(), ug::GaussQuadratureTetrahedron::GaussQuadratureTetrahedron(), ug::GaussQuadratureTriangle::GaussQuadratureTriangle(), and ug::PrintQuadRule().

point()

template<int TDim>

const MathVector< dim > & ug::QuadratureRule< TDim >::point ( size_t  i ) const

inline

returns i'th integration point

References ug::QuadratureRule< TDim >::m_pvPoint, ug::QuadratureRule< TDim >::size(), and UG_ASSERT.

Referenced by ug::GaussQuadratureHexahedron::GaussQuadratureHexahedron(), ug::GaussQuadratureOctahedron::GaussQuadratureOctahedron(), ug::GaussQuadraturePrism::GaussQuadraturePrism(), ug::GaussQuadraturePyramid::GaussQuadraturePyramid(), ug::GaussQuadratureQuadrilateral::GaussQuadratureQuadrilateral(), ug::GaussQuadratureTetrahedron::GaussQuadratureTetrahedron(), ug::GaussQuadratureTriangle::GaussQuadratureTriangle(), ug::PrintQuadRule(), ug::DimFVGeometry< TWorldDim, TDim >::update(), and ug::DimFVGeometry< TWorldDim, TDim >::update_local().

points()

template<int TDim>

const MathVector< dim > * ug::QuadratureRule< TDim >::points ( ) const

inline

returns all positions in an array of size()

References ug::QuadratureRule< TDim >::m_pvPoint.

Referenced by ug::Integrate(), and ug::DimFEGeometry< TWorldDim, TRefDim >::update_local().

size()

template<int TDim>

size_t ug::QuadratureRule< TDim >::size ( ) const

inline

number of integration points

References ug::QuadratureRule< TDim >::m_numPoints.

Referenced by ug::GaussQuadratureHexahedron::GaussQuadratureHexahedron(), ug::GaussQuadratureOctahedron::GaussQuadratureOctahedron(), ug::GaussQuadraturePrism::GaussQuadraturePrism(), ug::GaussQuadraturePyramid::GaussQuadraturePyramid(), ug::GaussQuadratureQuadrilateral::GaussQuadratureQuadrilateral(), ug::GaussQuadratureTetrahedron::GaussQuadratureTetrahedron(), ug::GaussQuadratureTriangle::GaussQuadratureTriangle(), ug::Integrate(), ug::QuadratureRule< TDim >::point(), ug::PrintQuadRule(), ug::DimFVGeometry< TWorldDim, TDim >::update(), ug::DimFEGeometry< TWorldDim, TRefDim >::update_local(), ug::DimFVGeometry< TWorldDim, TDim >::update_local(), and ug::QuadratureRule< TDim >::weight().

weight()

template<int TDim>

number ug::QuadratureRule< TDim >::weight ( size_t  i ) const

inline

return the i'th weight

References ug::QuadratureRule< TDim >::m_pvWeight, ug::QuadratureRule< TDim >::size(), and UG_ASSERT.

Referenced by ug::GaussQuadratureHexahedron::GaussQuadratureHexahedron(), ug::GaussQuadratureOctahedron::GaussQuadratureOctahedron(), ug::GaussQuadraturePrism::GaussQuadraturePrism(), ug::GaussQuadraturePyramid::GaussQuadraturePyramid(), ug::GaussQuadratureQuadrilateral::GaussQuadratureQuadrilateral(), ug::GaussQuadratureTetrahedron::GaussQuadratureTetrahedron(), ug::GaussQuadratureTriangle::GaussQuadratureTriangle(), ug::Integrate(), and ug::PrintQuadRule().

weights()

template<int TDim>

const number * ug::QuadratureRule< TDim >::weights ( ) const

inline

returns all weights in an array of size()

References ug::QuadratureRule< TDim >::m_pvWeight.

Referenced by ug::DimFEGeometry< TWorldDim, TRefDim >::update_local(), and ug::DimFVGeometry< TWorldDim, TDim >::update_local().

Member Data Documentation

dim

template<int TDim>

const int ug::QuadratureRule< TDim >::dim = TDim

static

Dimension of Reference Element.

m_numPoints

template<int TDim>

size_t ug::QuadratureRule< TDim >::m_numPoints

protected

number of points

Referenced by ug::QuadratureRule< TDim >::size().

m_order

template<int TDim>

int ug::QuadratureRule< TDim >::m_order

protected

Order of rule.

Referenced by ug::QuadratureRule< TDim >::order().

m_pvPoint

template<int TDim>

const MathVector<dim>* ug::QuadratureRule< TDim >::m_pvPoint

protected

Integration points.

Referenced by ug::QuadratureRule< TDim >::point(), and ug::QuadratureRule< TDim >::points().

m_pvWeight

template<int TDim>

const number* ug::QuadratureRule< TDim >::m_pvWeight

protected

Weights.

Referenced by ug::QuadratureRule< TDim >::weight(), and ug::QuadratureRule< TDim >::weights().

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

• ugbase/lib_disc/quadrature/quadrature.h