quadrature_grid_2D.C

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// The libMesh Finite Element Library.
// Copyright (C) 2002-2026 Benjamin S. Kirk, John W. Peterson, Roy H. Stogner
 
// This library is free software; you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public
// License as published by the Free Software Foundation; either
// version 2.1 of the License, or (at your option) any later version.
 
// This library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
// Lesser General Public License for more details.
 
// You should have received a copy of the GNU Lesser General Public
// License along with this library; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
 
 
 
// Local includes
#include "libmesh/quadrature_grid.h"
#include "libmesh/enum_to_string.h"
 
namespace libMesh
{
 
void QGrid::init_2D()
{
#if LIBMESH_DIM > 1
 
  switch (_type)
    {
 
 
      //---------------------------------------------
      // Quadrilateral quadrature rules
    case QUAD4:
    case QUADSHELL4:
    case QUAD8:
    case QUADSHELL8:
    case QUAD9:
    case QUADSHELL9:
      {
        // We compute the 2D quadrature rule as a tensor
        // product of the 1D quadrature rule.
        //
        // We ignore p_level in QGrid, since the "order" here is a
        // user-requested number of grid points, nothing to do with
        // the order of exactly-integrated polynomial spaces
        QGrid q1D(1, _order);
        tensor_product_quad( q1D );
        return;
      }
 
 
      //---------------------------------------------
      // Triangle quadrature rules
    case TRI3:
    case TRISHELL3:
    case TRI3SUBDIVISION:
    case TRI6:
    case TRI7:
      {
        const unsigned int np = (_order + 1)*(_order + 2)/2;
        const Real weight = Real(0.5)/np;
        const Real dx = Real(1)/static_cast<int>(_order+1);
        _points.resize(np);
        _weights.resize(np);
 
        unsigned int pt = 0;
        for (int i = 0; i != _order + 1; ++i)
          {
            for (int j = 0; j != _order + 1 - i; ++j)
              {
                _points[pt](0) = (i+0.5)*dx;
                _points[pt](1) = (j+0.5)*dx;
                _weights[pt] = weight;
                pt++;
              }
          }
        return;
      }
 
      //---------------------------------------------
      // Unsupported type
    default:
      libmesh_error_msg("Element type not supported!:" << Utility::enum_to_string(_type));
    }
#endif
}
 
} // namespace libMesh