QuadratureRuleKey Class Reference

A token that specifies a quadrature rule. More...

#include <dune/fufem/quadraturerules/quadraturerulecache.hh>

Public Member Functions
	QuadratureRuleKey ()
	Default constructor, same as QuadratureRuleKey(0,0)
template<class LocalFiniteElement >
	QuadratureRuleKey (const LocalFiniteElement &fe)
	Create a key for a quadrature rule that can integrate a given local basis exactly.
	QuadratureRuleKey (const Dune::GeometryType &gt, const int order, const int refinement=0, bool lumping=false)
	Constructor with given element type, order and refinement level.
	QuadratureRuleKey (const int dim, const int order, const int refinement=0, bool lumping=false)
	Constructor for rules to integrate analytical functions (i.e., not related to a grid)
bool	operator< (const QuadratureRuleKey &other) const
	defines order relation on QuadratureRuleKeys
const Dune::GeometryType &	geometryType () const
void	setGeometryType (const Dune::GeometryType &gt)
int	order () const
void	setOrder (int order)
int	refinement () const
void	setRefinement (int refinement)
bool	lumping () const
void	setLumping (bool lumping)
QuadratureRuleKey	derivative () const
QuadratureRuleKey	sum (const QuadratureRuleKey &other) const
QuadratureRuleKey	product (const QuadratureRuleKey &other) const
QuadratureRuleKey	square () const

Protected Attributes
Dune::GeometryType	gt_
int	order_
int	refinement_
bool	lumping_

Detailed Description

A token that specifies a quadrature rule.

A QuadratureRuleKey represents a certain class of polynomials on a reference polyhedron that should be integrated exactly by the desired quadrature rule.

The QuadratureRuleKey especially encodes the polynomial order and reference polyhedron (GeometryType). Here order k indicates polynomials of degree atmost k with one exception: For reference polyhedrals with a tensor structure, polynomials with corresponding tensor structure of degree at most k for each tensor direction are also allowed. E.g. bi-cubic polynomials on a square are encoded as order 2 (although they are polynomials of degree 4).

Constructor & Destructor Documentation

QuadratureRuleKey() [1/4]

QuadratureRuleKey::QuadratureRuleKey ( )

inline

Default constructor, same as QuadratureRuleKey(0,0)

QuadratureRuleKey() [2/4]

template<class LocalFiniteElement >

QuadratureRuleKey::QuadratureRuleKey ( const LocalFiniteElement &  fe )

inline

Create a key for a quadrature rule that can integrate a given local basis exactly.

QuadratureRuleKey() [3/4]

QuadratureRuleKey::QuadratureRuleKey ( const Dune::GeometryType &  gt, const int  order, const int  refinement = 0, bool  lumping = false  )

inline

Constructor with given element type, order and refinement level.

Parameters

gt	The Dune::GeometryType the rule is defined on
order	Order of the quadrature rule
refinement	For composite rules: number of subdivision steps of the original rule [DEFAULT = 0]
lumping	whether or not we have a lumped quadrule [DEFAULT = false]

QuadratureRuleKey() [4/4]

QuadratureRuleKey::QuadratureRuleKey ( const int  dim, const int  order, const int  refinement = 0, bool  lumping = false  )

inline

Constructor for rules to integrate analytical functions (i.e., not related to a grid)

Parameters

dim	dimension of domain
order	order of the quadrature rule
refinement	for composite rules: number of subdivision steps of the original rule [DEFAULT = 0]
lumping	whether or not we have a lumped quadrule [DEFAULT = false]

Member Function Documentation

derivative()

QuadratureRuleKey QuadratureRuleKey::derivative ( ) const

inline

geometryType()

const Dune::GeometryType & QuadratureRuleKey::geometryType ( ) const

inline

lumping()

bool QuadratureRuleKey::lumping ( ) const

inline

operator<()

bool QuadratureRuleKey::operator< ( const QuadratureRuleKey &  other ) const

inline

defines order relation on QuadratureRuleKeys

Parameters

other

QuadratureRuleKey to compare with

Returns

true if passed QRKey is 'larger' than *this

order()

int QuadratureRuleKey::order ( ) const

inline

product()

QuadratureRuleKey QuadratureRuleKey::product ( const QuadratureRuleKey &  other ) const

inline

refinement()

int QuadratureRuleKey::refinement ( ) const

inline

setGeometryType()

void QuadratureRuleKey::setGeometryType ( const Dune::GeometryType &  gt )

inline

setLumping()

void QuadratureRuleKey::setLumping ( bool  lumping )

inline

setOrder()

void QuadratureRuleKey::setOrder ( int  order )

inline

setRefinement()

void QuadratureRuleKey::setRefinement ( int  refinement )

inline

square()

QuadratureRuleKey QuadratureRuleKey::square ( ) const

inline

sum()

QuadratureRuleKey QuadratureRuleKey::sum ( const QuadratureRuleKey &  other ) const

inline

Member Data Documentation

gt_

Dune::GeometryType QuadratureRuleKey::gt_

protected

lumping_

bool QuadratureRuleKey::lumping_

protected

order_

int QuadratureRuleKey::order_

protected

refinement_

int QuadratureRuleKey::refinement_

protected

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

• quadraturerulecache.hh