Static Public Member Functions
static void	getPoints (int order, Array< double > &wgt, Array< double > &x, Array< double > &y)
static bool	test (int p)
static int	maxOrder ()
static bool	supportsOrder (int order)
static void	evalPKDpolynomials (int order, double x, double y, double *resultPtr)
static void	computeBasisCoeffs (const int order, Array< double > &basisCoeffs)
Static Private Member Functions
static void	permute (int m, const Array< double > &q, Array< Array< double > > &qPerm)
static double	exact (int a, int b, int c)
static double	fact (int x)

Detailed Description

Get abscissas and weights for Fekete point quadrature on triangles

Definition at line 57 of file SundanceFeketeTriangleQuadrature.hpp.

Member Function Documentation

void FeketeTriangleQuadrature::computeBasisCoeffs	(	const int	order,
		Array< double > &	basisCoeffs
	)		`[static]`

Here we calculate coefficients for Proriol-Koornwinder-Dubiner polynomials so that they form a Lagrange basis at given (Fekete quadrature) points in the triangle

Definition at line 241 of file SundanceFeketeTriangleQuadrature.cpp.

References dgetrf_(), dgetri_(), evalPKDpolynomials(), getPoints(), and Sundance::Point::resize().

Referenced by Sundance::FeketeQuadrature::evaluateAllBasisFunctions().

void FeketeTriangleQuadrature::evalPKDpolynomials	(	int	order,
		double	x,
		double	y,
		double *	resultPtr
	)		`[static]`

Evaluates all basis functions of a Proriol-Koornwinder-Dubiner basis up to the given order at (x,y) in reference (barycentric) coordinates of a triangle; Missing third coordinate z = 1-x-y

Definition at line 307 of file SundanceFeketeTriangleQuadrature.cpp.

References Sundance::pow().

Referenced by computeBasisCoeffs(), and Sundance::FeketeQuadrature::evaluateAllBasisFunctions().