solp_helmholtz_minus.C

/*
 *   Copyright (c) 1999-2001 Philippe Grandclement
 *
 *   This file is part of LORENE.
 *
 *   LORENE is free software; you can redistribute it and/or modify
 *   it under the terms of the GNU General Public License as published by
 *   the Free Software Foundation; either version 2 of the License, or
 *   (at your option) any later version.
 *
 *   LORENE 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 General Public License for more details.
 *
 *   You should have received a copy of the GNU General Public License
 *   along with LORENE; if not, write to the Free Software
 *   Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
 *
 */


char solp_helmholtz_minus_C[] = "$Header: /cvsroot/Lorene/C++/Source/Non_class_members/PDE/solp_helmholtz_minus.C,v 1.7 2008/07/10 11:20:33 p_grandclement Exp $" ;

/*
 * $Id: solp_helmholtz_minus.C,v 1.7 2008/07/10 11:20:33 p_grandclement Exp $
 * $Log: solp_helmholtz_minus.C,v $
 * Revision 1.7  2008/07/10 11:20:33  p_grandclement
 * mistake fixed in solh_helmholtz_minus
 *
 * Revision 1.6  2008/07/09 06:51:58  p_grandclement
 * some corrections to helmholtz minus in the nucleus
 *
 * Revision 1.5  2008/07/08 11:45:28  p_grandclement
 * Add helmholtz_minus in the nucleus
 *
 * Revision 1.4  2008/02/18 13:53:45  j_novak
 * Removal of special indentation instructions.
 *
 * Revision 1.3  2004/08/24 09:14:44  p_grandclement
 * Addition of some new operators, like Poisson in 2d... It now requieres the
 * GSL library to work.
 *
 * Also, the way a variable change is stored by a Param_elliptic is changed and
 * no longer uses Change_var but rather 2 Scalars. The codes using that feature
 * will requiere some modification. (It should concern only the ones about monopoles)
 *
 * Revision 1.2  2004/01/15 09:15:37  p_grandclement
 * Modification and addition of the Helmholtz operators
 *
 * Revision 1.1  2003/12/11 14:48:49  p_grandclement
 * Addition of ALL (and that is a lot !) the files needed for the general elliptic solver ... UNDER DEVELOPEMENT...
 *
 * 
 * $Header: /cvsroot/Lorene/C++/Source/Non_class_members/PDE/solp_helmholtz_minus.C,v 1.7 2008/07/10 11:20:33 p_grandclement Exp $
 *
 */

//fichiers includes
#include <stdio.h>
#include <stdlib.h>
#include <math.h>

#include "matrice.h"
#include "type_parite.h"
#include "proto.h"

        //------------------------------------
        // Routine pour les cas non prevus --
        //------------------------------------
Tbl _solp_helmholtz_minus_pas_prevu (const Matrice &, const Matrice &, 
                     const Tbl &, double, double, int) {
    cout << " Solution homogene pas prevue ..... : "<< endl ;
    abort() ;
    exit(-1) ;
    Tbl res(1) ;
    return res;
}
      

        
        //-------------------
           //--  R_CHEBU   ------
          //-------------------


Tbl _solp_helmholtz_minus_r_chebu (const Matrice &lap, const Matrice &nondege, 
                   const Tbl &source, double, double, int) {
  
  int n = lap.get_dim(0)+2 ;      
  int dege = n-nondege.get_dim(0) ;
  assert (dege==3) ;
  
  Tbl source_cl (cl_helmholtz_minus(source, R_CHEBU)) ;
  
  Tbl so(n-dege) ;
  so.set_etat_qcq() ;
  for (int i=0 ; i<n-dege ; i++)
    so.set(i) = source_cl(i);
  
  Tbl sol (nondege.inverse(so)) ;
    
  Tbl res(n) ;
  res.annule_hard() ;
  for (int i=1 ; i<n-2 ; i++) {
    res.set(i) += sol(i-1)*(2*i+3) ;
    res.set(i+1) += -sol(i-1)*(4*i+4) ;
    res.set(i+2) += sol(i-1)*(2*i+1) ;
  }

  return res ;
}


            //-------------------
           //--  R_CHEB   -----
          //-------------------
Tbl _solp_helmholtz_minus_r_cheb (const Matrice &lap, const Matrice &nondege, 
                const Tbl &source, double alpha, double beta, int) {
  
  int n = lap.get_dim(0) ;    
  int dege = n-nondege.get_dim(0) ;
  assert (dege ==2) ;
  
  Tbl source_aux(source*alpha*alpha) ;
  Tbl xso(source_aux) ;
  Tbl xxso(source_aux) ;
  multx_1d(n, &xso.t, R_CHEB) ;
  multx_1d(n, &xxso.t, R_CHEB) ;
  multx_1d(n, &xxso.t, R_CHEB) ;
  source_aux = beta*beta/alpha/alpha*source_aux+2*beta/alpha*xso+xxso ;
  
  source_aux = cl_helmholtz_minus (source_aux, R_CHEB) ;
  
  Tbl so(n-dege) ;
  so.set_etat_qcq() ;
  for (int i=0 ; i<n-dege ; i++)
    so.set(i) = source_aux(i) ;
 
  Tbl auxi(nondege.inverse(so)) ;

  Tbl res(n) ;
  res.set_etat_qcq() ;
  for (int i=dege ; i<n ; i++)
    res.set(i) = auxi(i-dege) ;
  
  for (int i=0 ; i<dege ; i++)
    res.set(i) = 0 ;
  return res ;
}


            //-------------------
           //--  R_CHEBP   -----
          //-------------------
Tbl _solp_helmholtz_minus_r_chebp (const Matrice &, const Matrice &nondege, 
                const Tbl &source, double alpha, double, int lq) {


  int dege = (lq==0) ? 1 : 2 ;
  int n = nondege.get_dim(0) + dege ;
  Tbl source_cl (cl_helmholtz_minus(source*alpha*alpha, R_CHEBP)) ;
  
  Tbl so(n-dege) ;
  so.set_etat_qcq() ;
  for (int i=0 ; i<n-dege ; i++)
    so.set(i) = source_cl(i);
  
  Tbl sol (nondege.inverse(so)) ;
    
  Tbl res(n) ;
  res.annule_hard() ;
  if (dege==2) {
  for (int i=1 ; i<n-1 ; i++) {
    res.set(i) += sol(i-1) ;
    res.set(i+1) += sol(i-1) ;
  }
}
  else {
    for (int i=1  ; i<n ; i++)
        res.set(i) = sol(i-1) ;
    }  
return res ;
}

            //-------------------
           //--  R_CHEBI   -----
          //-------------------
Tbl _solp_helmholtz_minus_r_chebi (const Matrice &, const Matrice &nondege, 
                const Tbl &source, double alpha, double, int lq) {
  
  int dege = (lq==1) ? 1 : 2 ;
  int n = nondege.get_dim(0) + dege ;
  Tbl source_cl (cl_helmholtz_minus(source*alpha*alpha, R_CHEBI)) ;
  
  Tbl so(n-dege) ;
  so.set_etat_qcq() ;
  for (int i=0 ; i<n-dege ; i++)
    so.set(i) = source_cl(i);
  
  Tbl sol (nondege.inverse(so)) ;
    
  Tbl res(n) ;
  res.annule_hard() ;
  if (dege==2) {
  for (int i=1 ; i<n-1 ; i++) {
    res.set(i) += (2*i+3)*sol(i-1) ;
    res.set(i+1) += (2*i+1)*sol(i-1) ;
  }
}
  else {
    for (int i=1  ; i<n ; i++)
        res.set(i) = sol(i-1) ;
    }

return res ;

}

            //-------------------
           //--  Fonction   ----
          //-------------------
          
          
Tbl solp_helmholtz_minus (const Matrice &lap, const Matrice &nondege, 
              const Tbl &source, double alpha, double beta, int lq,
              int base_r) {

  // Routines de derivation
  static Tbl (*solp_helmholtz_minus[MAX_BASE]) (const Matrice&, const Matrice&,
                        const Tbl&, double, double, int) ;
  static int nap = 0 ;
  
  // Premier appel
  if (nap==0) {
    nap = 1 ;
    for (int i=0 ; i<MAX_BASE ; i++) {
      solp_helmholtz_minus[i] = _solp_helmholtz_minus_pas_prevu ;
    }
    // Les routines existantes
    solp_helmholtz_minus[R_CHEB >> TRA_R] = _solp_helmholtz_minus_r_cheb ;
    solp_helmholtz_minus[R_CHEBU >> TRA_R] = _solp_helmholtz_minus_r_chebu ;
    solp_helmholtz_minus[R_CHEBP >> TRA_R] = _solp_helmholtz_minus_r_chebp ;
    solp_helmholtz_minus[R_CHEBI >> TRA_R] = _solp_helmholtz_minus_r_chebi ;
  }
  
  Tbl res(solp_helmholtz_minus[base_r] (lap, nondege, source, alpha, beta, lq)) ;
  return res ;
}

---