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// Copyright (C) 2013 Garth N. Wells
//
// This file is part of DOLFIN.
//
// DOLFIN 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 3 of the License, or
// (at your option) any later version.
//
// DOLFIN 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 DOLFIN. If not, see <http://www.gnu.org/licenses/>.
//
// First added:  2013-02-12
// Last changed:

#ifndef __LOCAL_SOLVER_H
#define __LOCAL_SOLVER_H

namespace dolfin
{

  /// This class solves problems cell-wise. It computes the local
  /// left-hand side A_local and the local right-hand side b_local
  /// (for one cell), and solves A_local x_local = b_local. The result
  /// x_local is copied into the global vector x. The operator A_local
  /// must be square.
  ///
  /// For forms with no coupling across cell edges, this function is
  /// identical to a global solve. For problems with coupling across
  /// cells it is not.
  ///
  /// This class can be used for post-processing solutions, e.g. computing
  /// stress fields for visualisation, far more cheaply that using
  /// global projections.

  // Forward declarations
  class GenericVector;
  class Form;

  class LocalSolver
  {
  public:

    /// Solve local (cell-wise) problem and copy result into global
    /// vector x.
    void solve(GenericVector& x, const Form& a, const Form& L,
               bool symmetric=false) const;

  };

}

#endif