LORENE

Basic class for elementary elliptic operators. More...
#include <ope_elementary.h>
Public Member Functions  
virtual  ~Ope_elementary () 
Destructor. More...  
double  val_sh_one_minus () const 
Returns the value of the first homogeneous solution at the inner boundary. More...  
double  val_sh_one_plus () const 
Returns the value of the first homogeneous solution at the outer boundary. More...  
double  der_sh_one_minus () const 
Returns the value of the derivative of the first homogeneous solution at the inner boundary. More...  
double  der_sh_one_plus () const 
Returns the value of the derivative of the first homogeneous solution at the outer boundary. More...  
double  val_sh_two_minus () const 
Returns the value of the second homogeneous solution at the inner boundary. More...  
double  val_sh_two_plus () const 
Returns the value of the second homogeneous solution at the outer boundary. More...  
double  der_sh_two_minus () const 
Returns the value of the derivative of the second homogeneous solution at the inner boundary. More...  
double  der_sh_two_plus () const 
Returns the value of the derivative of the second homogeneous solution at the outer boundary. More...  
double  val_sp_minus () const 
Returns the value of the particular solution at the inner boundary. More...  
double  val_sp_plus () const 
Returns the value of the particular solution at the outer boundary. More...  
double  der_sp_minus () const 
Returns the value of the derivative particular solution at the inner boundary. More...  
double  der_sp_plus () const 
Returns the value of the derivative particular solution at the outer boundary. More...  
double  get_alpha () const 
Returns alpha . More...  
double  get_beta () const 
Returns beta} . More...  
int  get_base_r () const 
Returns base_r} . More...  
Matrice  get_ope_mat () 
Returns the matrix representation. More...  
Matrice  get_ope_cl () 
Returns the banded matrix representation. More...  
Matrice  get_non_dege () 
Returns the non degenerate matrix representation. More...  
virtual Tbl  get_solp (const Tbl &so) const =0 
Computes the particular solution, given the source so . More...  
virtual Tbl  get_solh () const =0 
Computes the homogeneous solutions(s). More...  
virtual void  inc_l_quant ()=0 
Increases the quatum number l by one unit. More...  
Protected Member Functions  
Ope_elementary (int nbr, int baser, double alf, double eta)  
Standard constructor, protected because the class is an abstract one. More...  
Ope_elementary (const Ope_elementary &)  
Constructor by copy. More...  
Protected Attributes  
int  nr 
Number of radial points. More...  
int  base_r 
Radial basis of decomposition. More...  
double  alpha 
Parameter of the associated mapping. More...  
double  beta 
Parameter of the associated mapping. More...  
Matrice *  ope_mat 
Pointer on the matrix representation of the operator. More...  
Matrice *  ope_cl 
Pointer on the bandedmatrix of the operator. More...  
Matrice *  non_dege 
Pointer on the nondegenerated matrix of the operator. More...  
double  s_one_plus 
Value of the first homogeneous solution at the outer boundary. More...  
double  s_one_minus 
Value of the first homogeneous solution at the inner boundary. More...  
double  ds_one_plus 
Value of the derivative of the first homogeneous solution at the outer boundary. More...  
double  ds_one_minus 
Value of the derivative of the first homogeneous solution at the inner boundary. More...  
double  s_two_plus 
Value of the second homogeneous solution at the outer boundary. More...  
double  s_two_minus 
Value of the second homogeneous solution at the inner boundary. More...  
double  ds_two_plus 
Value of the derivative of the second homogeneous solution at the outer boundary. More...  
double  ds_two_minus 
Value of the derivative of the second homogeneous solution at the inner boundary. More...  
double  sp_minus 
Value of the particular solution at the inner boundary. More...  
double  sp_plus 
Value of the particular solution at the outer boundary. More...  
double  dsp_minus 
Value of the derivative of the particular solution at the inner boundary. More...  
double  dsp_plus 
Value of the derivative of the particular solution at the outer boundary. More...  
Private Member Functions  
virtual void  do_ope_mat () const =0 
Computes the matrix of the operator. More...  
virtual void  do_ope_cl () const =0 
Computes the bandedmatrix of the operator. More...  
virtual void  do_non_dege () const =0 
Computes the nondegenerated matrix of the operator. More...  
Basic class for elementary elliptic operators.
Such objects describe a type of elliptic operator, in a given domain and for a given spherical harmonics. They are called by the general elliptic solver. Ope_elementary
objects know how to compute the approriate particular solution for a given source and the associated homogeneous ones.
The class Ope_elementary
is an abstract one: it cannot be instanciated. Specific implementation of coordinate mappings will be performed by derived classes of Ope_elementary
.()
Definition at line 102 of file ope_elementary.h.

explicitprotected 
Standard constructor, protected because the class is an abstract one.
nbr  [input] number of radial points. 
baser  [input] radial basis of decomposition. 
alf  [input] parameter of the mapping. 
bet  [input] parameter of the mapping. 
Definition at line 45 of file ope_elementary.C.

protected 
Constructor by copy.
Definition at line 50 of file ope_elementary.C.

virtual 
Destructor.
Definition at line 65 of file ope_elementary.C.

inline 
Returns the value of the derivative of the first homogeneous solution at the inner boundary.
Definition at line 211 of file ope_elementary.h.
References ds_one_minus.

inline 
Returns the value of the derivative of the first homogeneous solution at the outer boundary.
Definition at line 217 of file ope_elementary.h.
References ds_one_plus.

inline 
Returns the value of the derivative of the second homogeneous solution at the inner boundary.
Definition at line 234 of file ope_elementary.h.
References ds_two_minus.

inline 
Returns the value of the derivative of the second homogeneous solution at the outer boundary.
Definition at line 240 of file ope_elementary.h.
References ds_two_plus.

inline 
Returns the value of the derivative particular solution at the inner boundary.
Definition at line 254 of file ope_elementary.h.
References dsp_minus.

inline 
Returns the value of the derivative particular solution at the outer boundary.
Definition at line 259 of file ope_elementary.h.
References dsp_plus.

privatepure virtual 
Computes the nondegenerated matrix of the operator.
Implemented in Lorene::Ope_vorton, Lorene::Ope_helmholtz_minus_pseudo_1d, Lorene::Ope_poisson_pseudo_1d, Lorene::Ope_helmholtz_minus_2d, Lorene::Ope_poisson_2d, Lorene::Ope_pois_tens_rr, Lorene::Ope_pois_vect_r, Lorene::Ope_sec_order, Lorene::Ope_sec_order_r2, Lorene::Ope_helmholtz_plus, Lorene::Ope_helmholtz_minus, and Lorene::Ope_poisson.

privatepure virtual 
Computes the bandedmatrix of the operator.
Implemented in Lorene::Ope_vorton, Lorene::Ope_helmholtz_minus_pseudo_1d, Lorene::Ope_poisson_pseudo_1d, Lorene::Ope_helmholtz_minus_2d, Lorene::Ope_poisson_2d, Lorene::Ope_pois_tens_rr, Lorene::Ope_pois_vect_r, Lorene::Ope_sec_order, Lorene::Ope_sec_order_r2, Lorene::Ope_helmholtz_plus, Lorene::Ope_helmholtz_minus, and Lorene::Ope_poisson.

privatepure virtual 
Computes the matrix of the operator.
Implemented in Lorene::Ope_vorton, Lorene::Ope_helmholtz_minus_pseudo_1d, Lorene::Ope_poisson_pseudo_1d, Lorene::Ope_helmholtz_minus_2d, Lorene::Ope_poisson_2d, Lorene::Ope_pois_tens_rr, Lorene::Ope_pois_vect_r, Lorene::Ope_sec_order, Lorene::Ope_sec_order_r2, Lorene::Ope_helmholtz_plus, Lorene::Ope_helmholtz_minus, and Lorene::Ope_poisson.

inline 

inline 

inline 

inline 
Returns the non degenerate matrix representation.
Definition at line 285 of file ope_elementary.h.
References do_non_dege(), and non_dege.

inline 
Returns the banded matrix representation.
Definition at line 278 of file ope_elementary.h.
References do_ope_cl(), and ope_cl.

inline 
Returns the matrix representation.
Definition at line 271 of file ope_elementary.h.
References do_ope_mat(), and ope_mat.

pure virtual 
Computes the homogeneous solutions(s).
Implemented in Lorene::Ope_vorton, Lorene::Ope_helmholtz_minus_pseudo_1d, Lorene::Ope_poisson_pseudo_1d, Lorene::Ope_helmholtz_minus_2d, Lorene::Ope_poisson_2d, Lorene::Ope_pois_tens_rr, Lorene::Ope_pois_vect_r, Lorene::Ope_sec_order, Lorene::Ope_sec_order_r2, Lorene::Ope_helmholtz_plus, Lorene::Ope_helmholtz_minus, and Lorene::Ope_poisson.
Computes the particular solution, given the source so
.
Implemented in Lorene::Ope_vorton, Lorene::Ope_helmholtz_minus_pseudo_1d, Lorene::Ope_poisson_pseudo_1d, Lorene::Ope_helmholtz_minus_2d, Lorene::Ope_poisson_2d, Lorene::Ope_sec_order, Lorene::Ope_sec_order_r2, Lorene::Ope_helmholtz_plus, Lorene::Ope_helmholtz_minus, and Lorene::Ope_poisson.

pure virtual 
Increases the quatum number l by one unit.
Implemented in Lorene::Ope_vorton, Lorene::Ope_helmholtz_minus_pseudo_1d, Lorene::Ope_poisson_pseudo_1d, Lorene::Ope_helmholtz_minus_2d, Lorene::Ope_poisson_2d, Lorene::Ope_sec_order, Lorene::Ope_sec_order_r2, Lorene::Ope_helmholtz_plus, Lorene::Ope_helmholtz_minus, and Lorene::Ope_poisson.

inline 
Returns the value of the first homogeneous solution at the inner boundary.
Definition at line 200 of file ope_elementary.h.
References s_one_minus.

inline 
Returns the value of the first homogeneous solution at the outer boundary.
Definition at line 205 of file ope_elementary.h.
References s_one_plus.

inline 
Returns the value of the second homogeneous solution at the inner boundary.
Definition at line 223 of file ope_elementary.h.
References s_two_minus.

inline 
Returns the value of the second homogeneous solution at the outer boundary.
Definition at line 228 of file ope_elementary.h.
References s_two_plus.

inline 
Returns the value of the particular solution at the inner boundary.
Definition at line 245 of file ope_elementary.h.
References sp_minus.

inline 
Returns the value of the particular solution at the outer boundary.
Definition at line 249 of file ope_elementary.h.
References sp_plus.

protected 
Parameter of the associated mapping.
Definition at line 108 of file ope_elementary.h.

protected 
Radial basis of decomposition.
Definition at line 107 of file ope_elementary.h.

protected 
Parameter of the associated mapping.
Definition at line 109 of file ope_elementary.h.

mutableprotected 
Value of the derivative of the first homogeneous solution at the inner boundary.
Definition at line 141 of file ope_elementary.h.

mutableprotected 
Value of the derivative of the first homogeneous solution at the outer boundary.
Definition at line 136 of file ope_elementary.h.

mutableprotected 
Value of the derivative of the second homogeneous solution at the inner boundary.
Definition at line 160 of file ope_elementary.h.

mutableprotected 
Value of the derivative of the second homogeneous solution at the outer boundary.
Definition at line 155 of file ope_elementary.h.

mutableprotected 
Value of the derivative of the particular solution at the inner boundary.
Definition at line 173 of file ope_elementary.h.

mutableprotected 
Value of the derivative of the particular solution at the outer boundary.
Definition at line 177 of file ope_elementary.h.

mutableprotected 
Pointer on the nondegenerated matrix of the operator.
Definition at line 122 of file ope_elementary.h.

protected 
Number of radial points.
Definition at line 106 of file ope_elementary.h.

mutableprotected 
Pointer on the bandedmatrix of the operator.
Definition at line 118 of file ope_elementary.h.

mutableprotected 
Pointer on the matrix representation of the operator.
Definition at line 114 of file ope_elementary.h.

mutableprotected 
Value of the first homogeneous solution at the inner boundary.
Definition at line 131 of file ope_elementary.h.

mutableprotected 
Value of the first homogeneous solution at the outer boundary.
Definition at line 127 of file ope_elementary.h.

mutableprotected 
Value of the second homogeneous solution at the inner boundary.
Definition at line 150 of file ope_elementary.h.

mutableprotected 
Value of the second homogeneous solution at the outer boundary.
Definition at line 146 of file ope_elementary.h.

mutableprotected 
Value of the particular solution at the inner boundary.
Definition at line 165 of file ope_elementary.h.

mutableprotected 
Value of the particular solution at the outer boundary.
Definition at line 169 of file ope_elementary.h.