This class defines quadrature rules for simplices. More...

#include <SimplexQuadrature.h>

Public Member Functions
	SimplexQuadrature (std::size_t tdim, std::size_t order)

std::pair< std::vector< double >, std::vector< double > >	compute_quadrature_rule (const Cell &cell) const

std::pair< std::vector< double >, std::vector< double > >	compute_quadrature_rule (const std::vector< Point > &coordinates, std::size_t gdim) const

std::pair< std::vector< double >, std::vector< double > >	compute_quadrature_rule_interval (const std::vector< Point > &coordinates, std::size_t gdim) const

std::pair< std::vector< double >, std::vector< double > >	compute_quadrature_rule_triangle (const std::vector< Point > &coordinates, std::size_t gdim) const

std::pair< std::vector< double >, std::vector< double > >	compute_quadrature_rule_tetrahedron (const std::vector< Point > &coordinates, std::size_t gdim) const

Static Public Member Functions
static std::vector< std::size_t >	compress (std::pair< std::vector< double >, std::vector< double >> &qr, std::size_t gdim, std::size_t quadrature_order)

Detailed Description

This class defines quadrature rules for simplices.

Constructor & Destructor Documentation

◆ SimplexQuadrature()

SimplexQuadrature::SimplexQuadrature	(	std::size_t	tdim,
		std::size_t	order
	)

Create SimplexQuadrature rules for reference simplex

Arguments tdim (std::size_t) The topological dimension of the simplex. order (std::size_t) The order of convergence of the quadrature rule.

Member Function Documentation

◆ compress()

std::vector< std::size_t > SimplexQuadrature::compress	(	std::pair< std::vector< double >, std::vector< double >> &	qr,
		std::size_t	gdim,
		std::size_t	quadrature_order
	)

static

Compress a quadrature rule using algorithms from Compression of multivariate discrete measures and applications A. Sommariva, M. Vianello Numerical Functional Analysis and Optimization Volume 36, 2015 - Issue 9

Arguments qr (std::pair<std::vector<double>, std::vector<double>>) The quadrature rule to be compressed gdim (std::size_t) The geometric dimension quadrature_order (std::size_t) The order of the quadrature rule

Returns std::vector<std::size_t> The indices of the points that were kept (empty if no compression was made)

◆ compute_quadrature_rule() [1/2]

std::pair< std::vector< double >, std::vector< double > > SimplexQuadrature::compute_quadrature_rule ( const Cell & cell ) const

Compute quadrature rule for cell.

Arguments cell (Cell) The cell.