Tet_1 Class Reference

Class for 4 point quadrature rules for tetrahedra. More...

#include <Quadrature.h>

Inheritance diagram for Tet_1:

List of all members.

Static Public Attributes
static const Quadrature *const	Bulk
	Bulk quadrature.
static const Quadrature *const	FaceOne
	Face (2-1-0) quadrature.
static const Quadrature *const	FaceTwo
	Face (2-0-3) quadrature.
static const Quadrature *const	FaceThree
	Face (2-3-1) quadrature.
static const Quadrature *const	FaceFour
	Face (0-1-3) quadrature.
Static Private Attributes
static const double	BulkCoordinates []
static const double	BulkWeights []
static const double	FaceMapCoordinates []
static const double	FaceOneShapeCoordinates []
static const double	FaceOneWeights [] = { 1./6., 1./6., 1./6.}
static const double	FaceTwoShapeCoordinates []
static const double	FaceTwoWeights [] = { 1./6., 1./6., 1./6.}
static const double	FaceThreeShapeCoordinates []
static const double	FaceThreeWeights [] = { 1./6., 1./6., 1./6.}
static const double	FaceFourShapeCoordinates []
static const double	FaceFourWeights [] = { 1./6., 1./6., 1./6.}

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Detailed Description

Class for 4 point quadrature rules for tetrahedra.

4-point Gauss quadrature coordinates in the tetrahedron with 0(1,0,0), 1(0,1,0), 2(0,0,0), 3(0,0,1) as vertices. Barycentric coordinates are used for the Gauss points. Barycentric coordinates are specified with respect to vertices 1,2 and 4 in that order. Coordinate of vertex 3 is not independent.

Quadrature for Faces: Faces are ordered as - Face 1: 2-1-0, Face 2: 2-0-3, Face 3: 2-3-1, Face 4: 0-1-3.

Todo:

Need to include a test for this quadrature

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Member Data Documentation

const Quadrature *const Tet_1::Bulk [static]

Initial value:

 
  new Quadrature(Tet_1::BulkCoordinates, 
                 Tet_1::BulkWeights, 3, 4)

Bulk quadrature.

const double Tet_1::BulkCoordinates [static, private]

Initial value:

 
  {0.58541020e0, 0.13819660e0, 0.13819660e0,
   0.13819660e0, 0.58541020e0, 0.13819660e0,
   0.13819660e0, 0.13819660e0, 0.58541020e0,
   0.13819660e0, 0.13819660e0, 0.13819660e0}

const double Tet_1::BulkWeights [static, private]

Initial value:

    {1./24.,
                                                 1./24.,
                                                 1./24.,
                                                 1./24.}

const Quadrature *const Tet_1::FaceFour [static]

Initial value:

 
  new Quadrature(Tet_1::FaceMapCoordinates, 
                 Tet_1::FaceFourShapeCoordinates, 
                 Tet_1::FaceFourWeights, 2, 3, 3)

Face (0-1-3) quadrature.

const double Tet_1::FaceFourShapeCoordinates [static, private]

Initial value:

  { 2./3., 1./6., 1./6.,
    1./6., 2./3., 1./6.,
    1./6., 1./6., 2./3.}

const double Tet_1::FaceFourWeights = { 1./6., 1./6., 1./6.} [static, private]

const double Tet_1::FaceMapCoordinates [static, private]

Initial value:

 {2./3., 1./6.,
                                                 1./6., 2./3.,
                                                 1./6., 1./6.}

const Quadrature *const Tet_1::FaceOne [static]

Initial value:

  new Quadrature(Tet_1::FaceMapCoordinates, 
                 Tet_1::FaceOneShapeCoordinates, 
                 Tet_1::FaceOneWeights, 2, 3, 3)

Face (2-1-0) quadrature.

const double Tet_1::FaceOneShapeCoordinates [static, private]

Initial value:

 
  { 1./6., 1./6., 0.,
    1./6., 2./3., 0.,
    2./3., 1./6., 0.}

const double Tet_1::FaceOneWeights = { 1./6., 1./6., 1./6.} [static, private]

const Quadrature *const Tet_1::FaceThree [static]

Initial value:

 
  new Quadrature(Tet_1::FaceMapCoordinates, 
                 Tet_1::FaceThreeShapeCoordinates, 
                 Tet_1::FaceThreeWeights, 2, 3, 3)

Face (2-3-1) quadrature.

const double Tet_1::FaceThreeShapeCoordinates [static, private]

Initial value:

 
  { 0., 1./6., 1./6.,
    0., 1./6., 2./3.,
    0., 2./3., 1./6.}

const double Tet_1::FaceThreeWeights = { 1./6., 1./6., 1./6.} [static, private]

const Quadrature *const Tet_1::FaceTwo [static]

Initial value:

 
  new Quadrature(Tet_1::FaceMapCoordinates, 
                 Tet_1::FaceTwoShapeCoordinates, 
                 Tet_1::FaceTwoWeights, 2, 3, 3)

Face (2-0-3) quadrature.

const double Tet_1::FaceTwoShapeCoordinates [static, private]

Initial value:

 
  { 1./6., 0., 1./6.,
    2./3., 0., 1./6., 
    1./6., 0., 2./3.}

const double Tet_1::FaceTwoWeights = { 1./6., 1./6., 1./6.} [static, private]

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

• Quadrature.h
• Quadrature.cpp