Tet_4Point Class Reference

QuadratureP3.h DG++. More...

#include <QuadratureP3.h>

Inheritance diagram for Tet_4Point:

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

QuadratureP3.h DG++.

Created by Adrian Lew on 10/21/06.

Copyright (c) 2006 Adrian Lew

Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.

Class for 4 point quadrature rules for tetrahedrons. 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.

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Member Data Documentation

const Quadrature *const Tet_4Point::Bulk [static]

Initial value:

 
  new Quadrature(Tet_4Point::BulkCoordinates, 
                 Tet_4Point::BulkWeights, 3, 4)

Bulk quadrature.

const double Tet_4Point::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_4Point::BulkWeights [static, private]

Initial value:

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

const Quadrature *const Tet_4Point::FaceFour [static]

Initial value:

 
  new Quadrature(Tet_4Point::FaceMapCoordinates, 
                 Tet_4Point::FaceFourShapeCoordinates, 
                 Tet_4Point::FaceFourWeights, 2, 3, 3)

Face (0-1-3) quadrature.

const double Tet_4Point::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_4Point::FaceFourWeights = { 1./6., 1./6., 1./6.} [static, private]

const double Tet_4Point::FaceMapCoordinates [static, private]

Initial value:

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

const Quadrature *const Tet_4Point::FaceOne [static]

Initial value:

  new Quadrature(Tet_4Point::FaceMapCoordinates, 
                 Tet_4Point::FaceOneShapeCoordinates, 
                 Tet_4Point::FaceOneWeights, 2, 3, 3)

Face (2-1-0) quadrature.

const double Tet_4Point::FaceOneShapeCoordinates [static, private]

Initial value:

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

const double Tet_4Point::FaceOneWeights = { 1./6., 1./6., 1./6.} [static, private]

const Quadrature *const Tet_4Point::FaceThree [static]

Initial value:

 
  new Quadrature(Tet_4Point::FaceMapCoordinates, 
                 Tet_4Point::FaceThreeShapeCoordinates, 
                 Tet_4Point::FaceThreeWeights, 2, 3, 3)

Face (2-3-1) quadrature.

const double Tet_4Point::FaceThreeShapeCoordinates [static, private]

Initial value:

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

const double Tet_4Point::FaceThreeWeights = { 1./6., 1./6., 1./6.} [static, private]

const Quadrature *const Tet_4Point::FaceTwo [static]

Initial value:

 
  new Quadrature(Tet_4Point::FaceMapCoordinates, 
                 Tet_4Point::FaceTwoShapeCoordinates, 
                 Tet_4Point::FaceTwoWeights, 2, 3, 3)

Face (2-0-3) quadrature.

const double Tet_4Point::FaceTwoShapeCoordinates [static, private]

Initial value:

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

const double Tet_4Point::FaceTwoWeights = { 1./6., 1./6., 1./6.} [static, private]

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

• QuadratureP3.h
• QuadratureP3.cpp