Lorene::Ope_helmholtz_plus Class Reference

Class for the Helmholtz operator $\Delta + m^2$ (m > 0). More...

#include <ope_elementary.h>

Inheritance diagram for Lorene::Ope_helmholtz_plus:
Lorene::Ope_elementary

List of all members.

Public Member Functions

 Ope_helmholtz_plus (int nbr, int baser, int lq, double alf, double bet, double mas)
 Standard constructor.
 Ope_helmholtz_plus (const Ope_helmholtz_plus &)
 Constructor by copy.
virtual ~Ope_helmholtz_plus ()
 Destructor.
virtual Tbl get_solp (const Tbl &so) const
 Computes the particular solution, given the source so .
virtual Tbl get_solh () const
 Computes the homogeneous solutions(s).
virtual void inc_l_quant ()
 Increases the quatum number l by one unit (CURRENTLY NOT IMPLEMENTED).
double val_sh_one_minus () const
 Returns the value of the first homogeneous solution at the inner boundary.
double val_sh_one_plus () const
 Returns the value of the first homogeneous solution at the outer boundary.
double der_sh_one_minus () const
 Returns the value of the derivative of the first homogeneous solution at the inner boundary.
double der_sh_one_plus () const
 Returns the value of the derivative of the first homogeneous solution at the outer boundary.
double val_sh_two_minus () const
 Returns the value of the second homogeneous solution at the inner boundary.
double val_sh_two_plus () const
 Returns the value of the second homogeneous solution at the outer boundary.
double der_sh_two_minus () const
 Returns the value of the derivative of the second homogeneous solution at the inner boundary.
double der_sh_two_plus () const
 Returns the value of the derivative of the second homogeneous solution at the outer boundary.
double val_sp_minus () const
 Returns the value of the particular solution at the inner boundary.
double val_sp_plus () const
 Returns the value of the particular solution at the outer boundary.
double der_sp_minus () const
 Returns the value of the derivative particular solution at the inner boundary.
double der_sp_plus () const
 Returns the value of the derivative particular solution at the outer boundary.
double get_alpha () const
 Returns alpha .
double get_beta () const
 Returns beta}.
int get_base_r () const
 Returns base_r}.
Matrice get_ope_mat ()
 Returns the matrix representation.
Matrice get_ope_cl ()
 Returns the banded matrix representation.
Matrice get_non_dege ()
 Returns the non degenerate matrix representation.

Protected Attributes

int lq
 The quantum number l.
double masse
 The mass parameter m .
int nr
 Number of radial points.
int base_r
 Radial basis of decomposition.
double alpha
 Parameter $\alpha$ of the associated mapping.
double beta
 Parameter $\beta$ of the associated mapping.
Matriceope_mat
 Pointer on the matrix representation of the operator.
Matriceope_cl
 Pointer on the banded-matrix of the operator.
Matricenon_dege
 Pointer on the non-degenerated matrix of the operator.
double s_one_plus
 Value of the first homogeneous solution at the outer boundary.
double s_one_minus
 Value of the first homogeneous solution at the inner boundary.
double ds_one_plus
 Value of the derivative of the first homogeneous solution at the outer boundary.
double ds_one_minus
 Value of the derivative of the first homogeneous solution at the inner boundary.
double s_two_plus
 Value of the second homogeneous solution at the outer boundary.
double s_two_minus
 Value of the second homogeneous solution at the inner boundary.
double ds_two_plus
 Value of the derivative of the second homogeneous solution at the outer boundary.
double ds_two_minus
 Value of the derivative of the second homogeneous solution at the inner boundary.
double sp_minus
 Value of the particular solution at the inner boundary.
double sp_plus
 Value of the particular solution at the outer boundary.
double dsp_minus
 Value of the derivative of the particular solution at the inner boundary.
double dsp_plus
 Value of the derivative of the particular solution at the outer boundary.

Private Member Functions

virtual void do_ope_mat () const
 Computes the matrix of the operator.
virtual void do_ope_cl () const
 Computes the banded-matrix of the operator.
virtual void do_non_dege () const
 Computes the non-degenerated matrix of the operator.

Detailed Description

Class for the Helmholtz operator $\Delta + m^2$ (m > 0).

It is implemented only in the shells.

Definition at line 446 of file ope_elementary.h.


Constructor & Destructor Documentation

Lorene::Ope_helmholtz_plus::Ope_helmholtz_plus ( int  nbr,
int  baser,
int  lq,
double  alf,
double  bet,
double  mas 
)

Standard constructor.

Parameters:
nbr [input] number of radial points.
baser [input] radial basis of decomposition.
lq [input] the quatum number l.
alf [input] parameter $\alpha$ of the mapping.
bet [input] parameter $\beta$ of the mapping.
mas [input] mass parameter m .

Definition at line 62 of file ope_helmholtz_plus.C.

Lorene::Ope_helmholtz_plus::Ope_helmholtz_plus ( const Ope_helmholtz_plus so  ) 

Constructor by copy.

Definition at line 68 of file ope_helmholtz_plus.C.

Lorene::Ope_helmholtz_plus::~Ope_helmholtz_plus (  )  [virtual]

Destructor.

Definition at line 73 of file ope_helmholtz_plus.C.


Member Function Documentation

double Lorene::Ope_elementary::der_sh_one_minus (  )  const [inline, inherited]

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 Lorene::Ope_elementary::ds_one_minus.

double Lorene::Ope_elementary::der_sh_one_plus (  )  const [inline, inherited]

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 Lorene::Ope_elementary::ds_one_plus.

double Lorene::Ope_elementary::der_sh_two_minus (  )  const [inline, inherited]

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 Lorene::Ope_elementary::ds_two_minus.

double Lorene::Ope_elementary::der_sh_two_plus (  )  const [inline, inherited]

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 Lorene::Ope_elementary::ds_two_plus.

double Lorene::Ope_elementary::der_sp_minus (  )  const [inline, inherited]

Returns the value of the derivative particular solution at the inner boundary.

Definition at line 254 of file ope_elementary.h.

References Lorene::Ope_elementary::dsp_minus.

double Lorene::Ope_elementary::der_sp_plus (  )  const [inline, inherited]

Returns the value of the derivative particular solution at the outer boundary.

Definition at line 259 of file ope_elementary.h.

References Lorene::Ope_elementary::dsp_plus.

void Lorene::Ope_helmholtz_plus::do_non_dege (  )  const [private, virtual]

Computes the non-degenerated matrix of the operator.

Implements Lorene::Ope_elementary.

Definition at line 95 of file ope_helmholtz_plus.C.

References Lorene::Ope_elementary::base_r, do_ope_cl(), Lorene::Ope_elementary::non_dege, and Lorene::Ope_elementary::ope_cl.

void Lorene::Ope_helmholtz_plus::do_ope_cl (  )  const [private, virtual]

Computes the banded-matrix of the operator.

Implements Lorene::Ope_elementary.

Definition at line 84 of file ope_helmholtz_plus.C.

References Lorene::Ope_elementary::base_r, do_ope_mat(), Lorene::Ope_elementary::ope_cl, and Lorene::Ope_elementary::ope_mat.

void Lorene::Ope_helmholtz_plus::do_ope_mat (  )  const [private, virtual]
double Lorene::Ope_elementary::get_alpha (  )  const [inline, inherited]

Returns alpha .

Definition at line 262 of file ope_elementary.h.

References Lorene::Ope_elementary::alpha.

int Lorene::Ope_elementary::get_base_r (  )  const [inline, inherited]

Returns base_r}.

Definition at line 268 of file ope_elementary.h.

References Lorene::Ope_elementary::base_r.

double Lorene::Ope_elementary::get_beta (  )  const [inline, inherited]

Returns beta}.

Definition at line 265 of file ope_elementary.h.

References Lorene::Ope_elementary::beta.

Matrice Lorene::Ope_elementary::get_non_dege (  )  [inline, inherited]

Returns the non degenerate matrix representation.

Definition at line 285 of file ope_elementary.h.

References Lorene::Ope_elementary::do_non_dege(), and Lorene::Ope_elementary::non_dege.

Matrice Lorene::Ope_elementary::get_ope_cl (  )  [inline, inherited]

Returns the banded matrix representation.

Definition at line 278 of file ope_elementary.h.

References Lorene::Ope_elementary::do_ope_cl(), and Lorene::Ope_elementary::ope_cl.

Matrice Lorene::Ope_elementary::get_ope_mat (  )  [inline, inherited]

Returns the matrix representation.

Definition at line 271 of file ope_elementary.h.

References Lorene::Ope_elementary::do_ope_mat(), and Lorene::Ope_elementary::ope_mat.

Tbl Lorene::Ope_helmholtz_plus::get_solh (  )  const [virtual]
Tbl Lorene::Ope_helmholtz_plus::get_solp ( const Tbl so  )  const [virtual]
void Lorene::Ope_helmholtz_plus::inc_l_quant (  )  [virtual]

Increases the quatum number l by one unit (CURRENTLY NOT IMPLEMENTED).

Implements Lorene::Ope_elementary.

Definition at line 163 of file ope_helmholtz_plus.C.

double Lorene::Ope_elementary::val_sh_one_minus (  )  const [inline, inherited]

Returns the value of the first homogeneous solution at the inner boundary.

Definition at line 200 of file ope_elementary.h.

References Lorene::Ope_elementary::s_one_minus.

double Lorene::Ope_elementary::val_sh_one_plus (  )  const [inline, inherited]

Returns the value of the first homogeneous solution at the outer boundary.

Definition at line 205 of file ope_elementary.h.

References Lorene::Ope_elementary::s_one_plus.

double Lorene::Ope_elementary::val_sh_two_minus (  )  const [inline, inherited]

Returns the value of the second homogeneous solution at the inner boundary.

Definition at line 223 of file ope_elementary.h.

References Lorene::Ope_elementary::s_two_minus.

double Lorene::Ope_elementary::val_sh_two_plus (  )  const [inline, inherited]

Returns the value of the second homogeneous solution at the outer boundary.

Definition at line 228 of file ope_elementary.h.

References Lorene::Ope_elementary::s_two_plus.

double Lorene::Ope_elementary::val_sp_minus (  )  const [inline, inherited]

Returns the value of the particular solution at the inner boundary.

Definition at line 245 of file ope_elementary.h.

References Lorene::Ope_elementary::sp_minus.

double Lorene::Ope_elementary::val_sp_plus (  )  const [inline, inherited]

Returns the value of the particular solution at the outer boundary.

Definition at line 249 of file ope_elementary.h.

References Lorene::Ope_elementary::sp_plus.


Member Data Documentation

double Lorene::Ope_elementary::alpha [protected, inherited]

Parameter $\alpha$ of the associated mapping.

Definition at line 108 of file ope_elementary.h.

int Lorene::Ope_elementary::base_r [protected, inherited]

Radial basis of decomposition.

Definition at line 107 of file ope_elementary.h.

double Lorene::Ope_elementary::beta [protected, inherited]

Parameter $\beta$ of the associated mapping.

Definition at line 109 of file ope_elementary.h.

double Lorene::Ope_elementary::ds_one_minus [mutable, protected, inherited]

Value of the derivative of the first homogeneous solution at the inner boundary.

Definition at line 141 of file ope_elementary.h.

double Lorene::Ope_elementary::ds_one_plus [mutable, protected, inherited]

Value of the derivative of the first homogeneous solution at the outer boundary.

Definition at line 136 of file ope_elementary.h.

double Lorene::Ope_elementary::ds_two_minus [mutable, protected, inherited]

Value of the derivative of the second homogeneous solution at the inner boundary.

Definition at line 160 of file ope_elementary.h.

double Lorene::Ope_elementary::ds_two_plus [mutable, protected, inherited]

Value of the derivative of the second homogeneous solution at the outer boundary.

Definition at line 155 of file ope_elementary.h.

double Lorene::Ope_elementary::dsp_minus [mutable, protected, inherited]

Value of the derivative of the particular solution at the inner boundary.

Definition at line 173 of file ope_elementary.h.

double Lorene::Ope_elementary::dsp_plus [mutable, protected, inherited]

Value of the derivative of the particular solution at the outer boundary.

Definition at line 177 of file ope_elementary.h.

The quantum number l.

Definition at line 449 of file ope_elementary.h.

The mass parameter m .

Definition at line 450 of file ope_elementary.h.

Matrice* Lorene::Ope_elementary::non_dege [mutable, protected, inherited]

Pointer on the non-degenerated matrix of the operator.

Definition at line 122 of file ope_elementary.h.

int Lorene::Ope_elementary::nr [protected, inherited]

Number of radial points.

Definition at line 106 of file ope_elementary.h.

Matrice* Lorene::Ope_elementary::ope_cl [mutable, protected, inherited]

Pointer on the banded-matrix of the operator.

Definition at line 118 of file ope_elementary.h.

Matrice* Lorene::Ope_elementary::ope_mat [mutable, protected, inherited]

Pointer on the matrix representation of the operator.

Definition at line 114 of file ope_elementary.h.

double Lorene::Ope_elementary::s_one_minus [mutable, protected, inherited]

Value of the first homogeneous solution at the inner boundary.

Definition at line 131 of file ope_elementary.h.

double Lorene::Ope_elementary::s_one_plus [mutable, protected, inherited]

Value of the first homogeneous solution at the outer boundary.

Definition at line 127 of file ope_elementary.h.

double Lorene::Ope_elementary::s_two_minus [mutable, protected, inherited]

Value of the second homogeneous solution at the inner boundary.

Definition at line 150 of file ope_elementary.h.

double Lorene::Ope_elementary::s_two_plus [mutable, protected, inherited]

Value of the second homogeneous solution at the outer boundary.

Definition at line 146 of file ope_elementary.h.

double Lorene::Ope_elementary::sp_minus [mutable, protected, inherited]

Value of the particular solution at the inner boundary.

Definition at line 165 of file ope_elementary.h.

double Lorene::Ope_elementary::sp_plus [mutable, protected, inherited]

Value of the particular solution at the outer boundary.

Definition at line 169 of file ope_elementary.h.


The documentation for this class was generated from the following files:

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