#include <quadrature_triangle.h>

Inheritance diagram for chi_math::QuadratureTriangle:

Public Member Functions
	QuadratureTriangle (QuadratureOrder order)

void	dunavant_rule (const double rule_data[][4], const unsigned int n_pts)

void	dunavant_rule2 (const double wts, const double a, const double b, const unsigned int permutation_ids, const unsigned int n_wts)

Public Member Functions inherited from chi_math::Quadrature
const std::pair< double, double > &	GetRange () const

void	SetRange (const std::pair< double, double > &in_range)

Public Member Functions inherited from ChiObject
	ChiObject ()

	ChiObject (const chi::InputParameters &params)

void	SetStackID (size_t stack_id)

size_t	StackID () const

virtual void	PushOntoStack (std::shared_ptr< ChiObject > &new_object)

virtual	~ChiObject ()=default

Additional Inherited Members
Static Public Member Functions inherited from chi_math::Quadrature
static chi::InputParameters	GetInputParameters ()

Static Public Member Functions inherited from ChiObject
static chi::InputParameters	GetInputParameters ()

Data Fields inherited from chi_math::Quadrature
QuadratureOrder	order_

std::vector< chi_math::QuadraturePointXYZ >	qpoints_

std::vector< double >	weights_

Protected Member Functions inherited from chi_math::Quadrature
	Quadrature (const chi::InputParameters &params)

	Quadrature (QuadratureOrder in_order)

Protected Attributes inherited from chi_math::Quadrature
std::pair< double, double >	range_

bool	verbose_ = false

Detailed Description

Definition at line 11 of file quadrature_triangle.h.

Constructor & Destructor Documentation

◆ QuadratureTriangle()

chi_math::QuadratureTriangle::QuadratureTriangle ( QuadratureOrder order )

explicit

Initializes quadratures for use on triangles.

A degree 4 rule with six points. This rule can be found in many places including: J.N. Lyness and D. Jespersen, Moderate degree symmetric quadrature rules for the triangle, J. Inst. Math. Appl. 15 (1975), 19–32. We used the code in: L. Zhang, T. Cui, and H. Liu. "A set of symmetric quadrature rules on triangles and tetrahedra" Journal of Computational Mathematics, v. 27, no. 1, 2009, pp. 89-96. to generate additional precision.

Exact for quintics Can be found in "Quadrature on Simplices of Arbitrary Dimension" by Walkington.

Definition at line 11 of file quadrature_triangle.cc.

Member Function Documentation

◆ dunavant_rule()

void chi_math::QuadratureTriangle::dunavant_rule	(	const double	rule_data[][4],
		const unsigned int	n_pts
	)

Definition at line 1167 of file quadrature_triangle.cc.

◆ dunavant_rule2()

void chi_math::QuadratureTriangle::dunavant_rule2	(	const double *	wts,
		const double *	a,
		const double *	b,
		const unsigned int *	permutation_ids,
		const unsigned int	n_wts
	)

Definition at line 1271 of file quadrature_triangle.cc.

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

framework/math/Quadratures/quadrature_triangle.h
framework/math/Quadratures/quadrature_triangle.cc