Triangle_1 Class Reference

3-point Gauss quadrature coordinates in the triangle (0,0), (1,0), (0,1), and its traces. More...

#include <Quadrature.h>

Inheritance diagram for Triangle_1:

List of all members.

Static Public Attributes
static const Quadrature *const	Bulk
	Bulk quadrature.
static const Quadrature *const	FaceOne
	Face (1,2) quadrature.
static const Quadrature *const	FaceTwo
	Face (2,3) quadrature.
static const Quadrature *const	FaceThree
	Face (3,1) quadrature.
Static Private Attributes
static const double	BulkCoordinates []
static const double	BulkWeights [] = {1./6.,1./6.,1./6.}
static const double	FaceMapCoordinates []
static const double	FaceOneShapeCoordinates []
static const double	FaceOneWeights [] = {1./2.,1./2.}
static const double	FaceTwoShapeCoordinates []
static const double	FaceTwoWeights [] = {1./2.,1./2.}
static const double	FaceThreeShapeCoordinates []
static const double	FaceThreeWeights [] = {1./2.,1./2.}

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Detailed Description

3-point Gauss quadrature coordinates in the triangle (0,0), (1,0), (0,1), and its traces.

Barycentric coordinates used for the Gauss points.

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Member Data Documentation

const Quadrature *const Triangle_1::Bulk [static]

Initial value:

 
  new Quadrature(Triangle_1::BulkCoordinates, 
                 Triangle_1::BulkWeights, 2, 3)

Bulk quadrature.

const double Triangle_1::BulkCoordinates [static, private]

Initial value:

 
  {0.6666666666666667e0,0.1666666666666667e0,
   0.1666666666666667e0,0.6666666666666667e0,
   0.1666666666666667e0,0.1666666666666667e0}

const double Triangle_1::BulkWeights = {1./6.,1./6.,1./6.} [static, private]

const double Triangle_1::FaceMapCoordinates [static, private]

Initial value:

 
  {0.5 + 0.577350269/2., 0.5 - 0.577350269/2.}

const Quadrature *const Triangle_1::FaceOne [static]

Initial value:

  new Quadrature(Triangle_1::FaceMapCoordinates, 
                 Triangle_1::FaceOneShapeCoordinates, 
                 Triangle_1::FaceOneWeights, 1, 2, 2)

Face (1,2) quadrature.

const double Triangle_1::FaceOneShapeCoordinates [static, private]

Initial value:

 
  {0.5 + 0.577350269/2., 0.5 - 0.577350269/2.,
   0.5 - 0.577350269/2., 0.5 + 0.577350269/2.}

const double Triangle_1::FaceOneWeights = {1./2.,1./2.} [static, private]

const Quadrature *const Triangle_1::FaceThree [static]

Initial value:

 
  new Quadrature(Triangle_1::FaceMapCoordinates, 
                 Triangle_1::FaceThreeShapeCoordinates, 
                 Triangle_1::FaceThreeWeights, 1, 2, 2)

Face (3,1) quadrature.

const double Triangle_1::FaceThreeShapeCoordinates [static, private]

Initial value:

 
  {0.5 - 0.577350269/2., 0., 
   0.5 + 0.577350269/2., 0.}

const double Triangle_1::FaceThreeWeights = {1./2.,1./2.} [static, private]

const Quadrature *const Triangle_1::FaceTwo [static]

Initial value:

 
  new Quadrature(Triangle_1::FaceMapCoordinates, 
                 Triangle_1::FaceTwoShapeCoordinates, 
                 Triangle_1::FaceTwoWeights, 1, 2, 2)

Face (2,3) quadrature.

const double Triangle_1::FaceTwoShapeCoordinates [static, private]

Initial value:

 
  {0., 0.5 + 0.577350269/2.,
   0., 0.5 - 0.577350269/2.}

const double Triangle_1::FaceTwoWeights = {1./2.,1./2.} [static, private]

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

• Quadrature.h
• Quadrature.cpp