fitschwarz_shell.cpp

/*
    Copyright 2018 Philippe Grandclement
 
    This file is part of Kadath.
 
    Kadath 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 3 of the License, or
    (at your option) any later version.
 
    Kadath 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 Kadath.  If not, see <http://www.gnu.org/licenses/>.
*/
 
#include "headcpp.hpp"
#include "spheric.hpp"
#include "term_eq.hpp"
#include "scalar.hpp"
#include "tensor_impl.hpp"
#include "tensor.hpp"
#include "array_math.hpp"
namespace Kadath {
// Val_domain versions
Val_domain Domain_shell::fitschwarz (const Val_domain& so,  int dim) const {
 
      so.coef() ;
      Val_domain dso (der_normal(so, OUTER_BC)) ;
      
      Val_domain res(this) ;
      res.base = so.base ;
      res.allocate_coef() ;
 
      double rmax = alpha + beta ;
      
      Index pos (nbr_coefs) ;
      
      // Loop on harmonic
      for (int nn=0 ; nn<nbr_coefs(1) ; nn++) {
 
      pos.set(1) = nn ;
 
      double sh = (nn==0) ? 1./pow(rmax, dim-2) : 0 ;
      double dsh = (nn==0) ? -double(dim-2)/pow(rmax, dim-1) : 1 ;
      
      // Affecte to res
      for (int i=0 ; i<nbr_coefs(0) ; i++) {
          pos.set(0) = i ;
          res.set_coef(pos) = (nn==0) ? so.get_coef(pos)*dsh - dso.get_coef(pos)*sh : so.get_coef(pos);
      }
    
      }
      return res ;
}
 
 
// Term_eq version
Term_eq Domain_shell::fitschwarz (const Term_eq& so, int dim) const {
 
    // Check it is a tensor
    if (so.get_type_data() != TERM_T) {
        cerr << "fitschwarz only defined with respect for a tensor" << endl ;
        abort() ;
    }
  
    // Right domain ?
    int dom = so.get_dom() ;
    if (this != so.get_val_t().get_space().get_domain(dom)) {
    cerr << "Domain mismatch in Domain_shell::fitschwarz (Term_eq version)" << endl ;
    abort() ;
    }
 
    Tensor resval (so.get_val_t(), false) ;
    for (int i=0 ; i<so.get_val_t().get_n_comp() ; i++) {
        Array<int> ind (so.get_val_t().indices(i)) ;
        Val_domain value (so.get_val_t()(ind)(dom)) ;
        if (value.check_if_zero()) 
          resval.set(ind).set_domain(dom).set_zero() ;
        else {
        resval.set(ind).set_domain(dom) = fitschwarz(value, dim) ;
        }
    }
 
    if (so.get_p_der_t() !=0x0) {
      Tensor resder (so.get_val_t(), false) ;
      for (int i=0 ; i<so.get_der_t().get_n_comp() ; i++) {
        Array<int> ind (so.get_der_t().indices(i)) ;
        Val_domain valder (so.get_der_t()(ind)(dom)) ;
        if (valder.check_if_zero())
              resder.set(ind).set_domain(dom).set_zero() ;
        else {
        resder.set(ind).set_domain(dom) = fitschwarz(valder, dim) ;
        }
      }
      return Term_eq (dom, resval, resder) ;
    }
    else return Term_eq (dom, resval) ;
}}