quadrature_grid_2D.C

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00001 // The libMesh Finite Element Library.
00002 // Copyright (C) 2002-2012 Benjamin S. Kirk, John W. Peterson, Roy H. Stogner
00003 
00004 // This library is free software; you can redistribute it and/or
00005 // modify it under the terms of the GNU Lesser General Public
00006 // License as published by the Free Software Foundation; either
00007 // version 2.1 of the License, or (at your option) any later version.
00008 
00009 // This library is distributed in the hope that it will be useful,
00010 // but WITHOUT ANY WARRANTY; without even the implied warranty of
00011 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
00012 // Lesser General Public License for more details.
00013 
00014 // You should have received a copy of the GNU Lesser General Public
00015 // License along with this library; if not, write to the Free Software
00016 // Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
00017 
00018 
00019 
00020 // Local includes
00021 #include "libmesh/quadrature_grid.h"
00022 
00023 namespace libMesh
00024 {
00025 
00026 
00027 void QGrid::init_2D(const ElemType type_in,
00028                     unsigned int)
00029 {
00030 #if LIBMESH_DIM > 1
00031 
00032   //-----------------------------------------------------------------------
00033   // 2D quadrature rules
00034 
00035   // We ignore p - the grid rule is just for experimentation
00036 
00037   switch (type_in)
00038     {
00039 
00040 
00041       //---------------------------------------------
00042       // Quadrilateral quadrature rules
00043     case QUAD4:
00044     case QUAD8:
00045     case QUAD9:
00046       {
00047         // We compute the 2D quadrature rule as a tensor
00048         // product of the 1D quadrature rule.
00049         QGrid q1D(1,_order);
00050         q1D.init(EDGE2);
00051         tensor_product_quad( q1D );
00052         return;
00053       }
00054 
00055 
00056       //---------------------------------------------
00057       // Triangle quadrature rules
00058     case TRI3:
00059     case TRI6:
00060       {
00061         _points.resize((_order + 1)*(_order + 2)/2);
00062         _weights.resize((_order + 1)*(_order + 2)/2);
00063 
00064         unsigned int pt = 0;
00065         for (int i = 0; i != _order + 1; ++i)
00066           {
00067             for (int j = 0; j != _order + 1 - i; ++j)
00068               {
00069                 _points[pt](0) = (double)i / (double)_order;
00070                 _points[pt](1) = (double)j / (double)_order;
00071                 _weights[pt] = 1.0 / (double)(_order+1) /
00072                   (double)(_order+2);
00073                 pt++;
00074               }
00075           }
00076         return;
00077       }
00078 
00079       //---------------------------------------------
00080       // Unsupported type
00081     default:
00082       {
00083         libMesh::err << "Element type not supported!:" << type_in << std::endl;
00084         libmesh_error();
00085       }
00086     }
00087 
00088   libmesh_error();
00089 
00090   return;
00091 
00092 #endif
00093 }
00094 
00095 } // namespace libMesh
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Last modified: February 05 2013 19:54:48 UTC

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