tenseur_inv_pois_vect.C
/*
* Copyright (c) 2000-2001 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 tenseur_inv_pois_vect_C[] = "$Header: /cvsroot/Lorene/C++/Source/Tenseur/tenseur_inv_pois_vect.C,v 1.5 2014/10/13 08:53:42 j_novak Exp $" ;
/*
* $Id: tenseur_inv_pois_vect.C,v 1.5 2014/10/13 08:53:42 j_novak Exp $
* $Log: tenseur_inv_pois_vect.C,v $
* Revision 1.5 2014/10/13 08:53:42 j_novak
* Lorene classes and functions now belong to the namespace Lorene.
*
* Revision 1.4 2014/10/06 15:13:18 j_novak
* Modified #include directives to use c++ syntax.
*
* Revision 1.3 2005/08/29 09:41:45 p_grandclement
* Minor modif
*
* Revision 1.2 2002/08/07 16:14:11 j_novak
* class Tenseur can now also handle tensor densities, this should be transparent to older codes
*
* Revision 1.1.1.1 2001/11/20 15:19:30 e_gourgoulhon
* LORENE
*
* Revision 2.0 2000/10/19 09:49:47 phil
* *** empty log message ***
*
*
* $Header: /cvsroot/Lorene/C++/Source/Tenseur/tenseur_inv_pois_vect.C,v 1.5 2014/10/13 08:53:42 j_novak Exp $
*
*/
//Standard
#include <cstdlib>
//Lorene
#include "tenseur.h"
// Inversion de Poisson vectoriel :
namespace Lorene {
Tenseur Tenseur::inverse_poisson_vect (double lambda) const {
assert (valence == 1) ;
assert (etat != ETATNONDEF) ;
if (etat == ETATZERO)
return (*this) ;
Tenseur inverse (*mp, 1, CON, *get_triad(), metric, poids) ;
Tenseur grad (contract(this->gradient(), 0, 1)) ;
grad.dec2_dzpuis() ;
Tenseur grad_shift (grad.gradient()) ;
grad_shift.inc2_dzpuis() ;
inverse.set_etat_qcq() ;
for (int i=0 ; i<3 ; i++)
inverse.set(i) = (*this)(i).laplacien(4)+lambda*grad_shift(i) ;
return inverse ;
}
}
Lorene::Tenseur::get_triad
const Base_vect * get_triad() const
Returns the vectorial basis (triad) on which the components are defined.
Definition tenseur.h:704
Lorene::Tenseur::set
Cmp & set()
Read/write for a scalar (see also operator=(const Cmp&) ).
Definition tenseur.C:824
Lorene::Tenseur::metric
const Metrique * metric
For tensor densities: the metric defining the conformal factor.
Definition tenseur.h:325
Lorene::Tenseur::mp
const Map *const mp
Reference mapping.
Definition tenseur.h:306
Lorene::Tenseur::set_etat_qcq
void set_etat_qcq()
Sets the logical state to ETATQCQ (ordinary state).
Definition tenseur.C:636
Lorene::Tenseur::Tenseur
Tenseur(const Map &map, const Metrique *met=0x0, double weight=0)
Constructor for a scalar field.
Definition tenseur.C:209
Lorene::Tenseur::dec2_dzpuis
void dec2_dzpuis()
dzpuis -= 2 ;
Definition tenseur.C:1130
Lorene::Tenseur::gradient
const Tenseur & gradient() const
Returns the gradient of *this (Cartesian coordinates).
Definition tenseur.C:1542
Lorene::Tenseur::contract
friend Tenseur contract(const Tenseur &, int id1, int id2)
Self contraction of two indices of a Tenseur .
Definition tenseur_operateur.C:279
Lorene::Tenseur::valence
int valence
Valence.
Definition tenseur.h:307
Lorene::Tenseur::inc2_dzpuis
void inc2_dzpuis()
dzpuis += 2 ;
Definition tenseur.C:1143
Lorene::Tenseur::etat
int etat
Logical state ETATZERO , ETATQCQ or ETATNONDEF.
Definition tenseur.h:321
Lorene::Tenseur::poids
double poids
For tensor densities: the weight.
Definition tenseur.h:323
Lorene::Tenseur::inverse_poisson_vect
Tenseur inverse_poisson_vect(double lambda) const
Compute of *this , *this being of valence 1.
Definition tenseur_inv_pois_vect.C:59
Lorene
Lorene prototypes.
Definition app_hor.h:64
Lorene::laplacien
virtual void laplacien(const Scalar &uu, int zec_mult_r, Scalar &lap) const =0
Computes the Laplacian of a scalar field.