Fiber::DoubleQuadratureRuleFamily< CoordinateType > Class Template Reference

Family of quadrature rules over pairs of elements. More...

#include </home/wojtek/Projects/BEM/bempp-sven/bempp/lib/fiber/double_quadrature_rule_family.hpp>

Inheritance diagram for Fiber::DoubleQuadratureRuleFamily< CoordinateType >:

Public Member Functions
virtual	~DoubleQuadratureRuleFamily ()
	Destructor.
virtual void	fillQuadraturePointsAndWeights (const DoubleQuadratureDescriptor &desc, arma::Mat< CoordinateType > &testPoints, arma::Mat< CoordinateType > &trialPoints, std::vector< CoordinateType > &testWeights, std::vector< CoordinateType > &trialWeights, bool &isTensor) const =0
	Fill arrays of quadrature points and weights. More...

Detailed Description

template<typename CoordinateType>
class Fiber::DoubleQuadratureRuleFamily< CoordinateType >

Family of quadrature rules over pairs of elements.

This class represents a family of quadrature rules that allows integration of possibly singular functions f(x, y) over pairs of reference elements (triangles or squares). Individual quadrature rules may be either separable (tensor-product), i.e. of the form [f f(x, y) \, d S(x) \, d T(x) {i=1}^M {j=1}^N f(x_i, y_j) w_i w_j, ] or nonseparable (non-tensor-product), i.e. of the form [f f(x, y) \, d S(x) \, d T(x) {k=1}^K f(x_k, y_k) w_k. ] Above, each of and denotes either the unit triangle or the unit square.

Member Function Documentation

template<typename CoordinateType >

virtual void Fiber::DoubleQuadratureRuleFamily< CoordinateType >::fillQuadraturePointsAndWeights ( const DoubleQuadratureDescriptor &  desc, arma::Mat< CoordinateType > &  testPoints, arma::Mat< CoordinateType > &  trialPoints, std::vector< CoordinateType > &  testWeights, std::vector< CoordinateType > &  trialWeights, bool &  isTensor  ) const

pure virtual

Fill arrays of quadrature points and weights.

Parameters

[in]	desc	Quadrature descriptor.
[out]	testPoints	2D array whose (i, j)th element will contain the ith (local) coordinate of the jth quadrature point on the test element.
[out]	trialPoints	2D array whose (i, j)th element will contain the ith (local) coordinate of the jth quadrature point on the trial element.
[out]	testWeights	If isTensor is set to true, this parameter will be a vector of test point weights of a separable quadrature rule; otherwise it will be a vector of point weights of a nonseparable quadarture rule.
[out]	trialWeights	If isTensor is set to true, this parameter will be a vector of trial point weights of a separable quadrature rule; otherwise it will be empty.
[out]	isTensor	If set to true, the returned quadrature rule is a tensor-product rule, otherwise it is not.

Implemented in Fiber::DefaultDoubleQuadratureRuleFamily< CoordinateType >.

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

• /home/wojtek/Projects/BEM/bempp-sven/bempp/lib/fiber/double_quadrature_rule_family.hpp