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discreteVertex.h

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  • gmm_iter_solvers.h 3.90 KiB
    // -*- c++ -*- (enables emacs c++ mode)
    //===========================================================================
    //
    // Copyright (C) 2002-2008 Yves Renard
    //
    // This file is a part of GETFEM++
    //
    // Getfem++  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 program  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 program;  if not, write to the Free Software Foundation,
    // Inc., 51 Franklin St, Fifth Floor, Boston, MA  02110-1301, USA.
    //
    // As a special exception, you may use this file as part of a free software
    // library without restriction.  Specifically, if other files instantiate
    // templates or use macros or inline functions from this file, or you compile
    // this file and link it with other files to produce an executable, this
    // file does not by itself cause the resulting executable to be covered by
    // the GNU General Public License.  This exception does not however
    // invalidate any other reasons why the executable file might be covered by
    // the GNU General Public License.
    //
    //===========================================================================
    
    /**@file gmm_iter_solvers.h
       @author  Yves Renard <Yves.Renard@insa-lyon.fr>
       @date October 13, 2002.
       @brief Include standard gmm iterative solvers (cg, gmres, ...)
    */
    #ifndef GMM_ITER_SOLVERS_H__
    #define GMM_ITER_SOLVERS_H__
    
    #include "gmm_iter.h"
    
    
    namespace gmm {
    
      /** mixed method to find a zero of a real function G, a priori 
       * between a and b. If the zero is not between a and b, iterations
       * of secant are applied. When a convenient interval is found,
       * iterations of dichotomie and regula falsi are applied.
       */
      template <typename FUNC, typename T>
      T find_root(const FUNC &G, T a = T(0), T b = T(1),
    	      T tol = gmm::default_tol(T())) {
        T c, Ga = G(a), Gb = G(b), Gc, d;
        d = gmm::abs(b - a);
    #if 0
        for (int i = 0; i < 4; i++) { /* secant iterations.                   */
          if (d < tol) return (b + a) / 2.0;
          c = b - Gb * (b - a) / (Gb - Ga); Gc = G(c);
          a = b; b = c; Ga = Gb; Gb = Gc;
          d = gmm::abs(b - a);
        }
    #endif
        while (Ga * Gb > 0.0) { /* secant iterations.                         */
          if (d < tol) return (b + a) / 2.0;
          c = b - Gb * (b - a) / (Gb - Ga); Gc = G(c);
          a = b; b = c; Ga = Gb; Gb = Gc;
          d = gmm::abs(b - a);
        }
        
        c = std::max(a, b); a = std::min(a, b); b = c;
        while (d > tol) {
          c = b - (b - a) * (Gb / (Gb - Ga)); /* regula falsi.     */
          if (c > b) c = b; if (c < a) c = a; 
          Gc = G(c);
          if (Gc*Gb > 0) { b = c; Gb = Gc; } else { a = c; Ga = Gc; }
          c = (b + a) / 2.0 ; Gc = G(c); /* Dichotomie.                       */
          if (Gc*Gb > 0) { b = c; Gb = Gc; } else { a = c; Ga = Gc; }
          d = gmm::abs(b - a); c = (b + a) / 2.0; if ((c == a) || (c == b)) d = 0.0;
        }
        return (b + a) / 2.0;
      }
      
    }
    
    #include "gmm_precond_diagonal.h"
    #include "gmm_precond_ildlt.h"
    #include "gmm_precond_ildltt.h"
    #include "gmm_precond_mr_approx_inverse.h"
    #include "gmm_precond_ilu.h"
    #include "gmm_precond_ilut.h"
    #include "gmm_precond_ilutp.h"
    
    
    
    #include "gmm_solver_cg.h"
    #include "gmm_solver_bicgstab.h"
    #include "gmm_solver_qmr.h"
    #include "gmm_solver_constrained_cg.h"
    #include "gmm_solver_Schwarz_additive.h"
    #include "gmm_modified_gram_schmidt.h"
    #include "gmm_tri_solve.h"
    #include "gmm_solver_gmres.h"
    #include "gmm_solver_bfgs.h"
    #include "gmm_least_squares_cg.h"
    
    // #include "gmm_solver_idgmres.h"
    
    
    
    #endif //  GMM_ITER_SOLVERS_H__