Lorene::Ope_elementary Class Reference
[General PDE solvers (under development)]

Basic class for elementary elliptic operators. More...

#include <ope_elementary.h>

Inheritance diagram for Lorene::Ope_elementary:
Lorene::Ope_helmholtz_minus Lorene::Ope_helmholtz_minus_2d Lorene::Ope_helmholtz_minus_pseudo_1d Lorene::Ope_helmholtz_plus Lorene::Ope_poisson Lorene::Ope_poisson_2d Lorene::Ope_poisson_pseudo_1d Lorene::Ope_sec_order Lorene::Ope_sec_order_r2 Lorene::Ope_vorton

List of all members.

Public Member Functions

virtual ~Ope_elementary ()
 Destructor.
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.
virtual Tbl get_solp (const Tbl &so) const =0
 Computes the particular solution, given the source so .
virtual Tbl get_solh () const =0
 Computes the homogeneous solutions(s).
virtual void inc_l_quant ()=0
 Increases the quatum number l by one unit.

Protected Member Functions

 Ope_elementary (int nbr, int baser, double alf, double eta)
 Standard constructor, protected because the class is an abstract one.
 Ope_elementary (const Ope_elementary &)
 Constructor by copy.

Protected Attributes

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 =0
 Computes the matrix of the operator.
virtual void do_ope_cl () const =0
 Computes the banded-matrix of the operator.
virtual void do_non_dege () const =0
 Computes the non-degenerated matrix of the operator.

Detailed Description

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.


Constructor & Destructor Documentation

Lorene::Ope_elementary::Ope_elementary ( int  nbr,
int  baser,
double  alf,
double  eta 
) [explicit, protected]

Standard constructor, protected because the class is an abstract one.

Parameters:
nbr [input] number of radial points.
baser [input] radial basis of decomposition.
alf [input] parameter $\alpha$ of the mapping.
bet [input] parameter $\beta$ of the mapping.

Definition at line 45 of file ope_elementary.C.

Lorene::Ope_elementary::Ope_elementary ( const Ope_elementary so  )  [protected]

Constructor by copy.

Definition at line 50 of file ope_elementary.C.

References non_dege, ope_cl, and ope_mat.

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

Destructor.

Definition at line 65 of file ope_elementary.C.

References non_dege, ope_cl, and ope_mat.


Member Function Documentation

double Lorene::Ope_elementary::der_sh_one_minus (  )  const [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.

double Lorene::Ope_elementary::der_sh_one_plus (  )  const [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.

double Lorene::Ope_elementary::der_sh_two_minus (  )  const [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.

double Lorene::Ope_elementary::der_sh_two_plus (  )  const [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.

double Lorene::Ope_elementary::der_sp_minus (  )  const [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.

double Lorene::Ope_elementary::der_sp_plus (  )  const [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.

virtual void Lorene::Ope_elementary::do_non_dege (  )  const [private, pure virtual]
virtual void Lorene::Ope_elementary::do_ope_cl (  )  const [private, pure virtual]
virtual void Lorene::Ope_elementary::do_ope_mat (  )  const [private, pure virtual]
double Lorene::Ope_elementary::get_alpha (  )  const [inline]

Returns alpha .

Definition at line 262 of file ope_elementary.h.

References alpha.

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

Returns base_r}.

Definition at line 268 of file ope_elementary.h.

References base_r.

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

Returns beta}.

Definition at line 265 of file ope_elementary.h.

References beta.

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

Returns the non degenerate matrix representation.

Definition at line 285 of file ope_elementary.h.

References do_non_dege(), and non_dege.

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

Returns the banded matrix representation.

Definition at line 278 of file ope_elementary.h.

References do_ope_cl(), and ope_cl.

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

Returns the matrix representation.

Definition at line 271 of file ope_elementary.h.

References do_ope_mat(), and ope_mat.

virtual Tbl Lorene::Ope_elementary::get_solh (  )  const [pure virtual]
virtual Tbl Lorene::Ope_elementary::get_solp ( const Tbl so  )  const [pure virtual]
virtual void Lorene::Ope_elementary::inc_l_quant (  )  [pure virtual]
double Lorene::Ope_elementary::val_sh_one_minus (  )  const [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.

double Lorene::Ope_elementary::val_sh_one_plus (  )  const [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.

double Lorene::Ope_elementary::val_sh_two_minus (  )  const [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.

double Lorene::Ope_elementary::val_sh_two_plus (  )  const [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.

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

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

Definition at line 245 of file ope_elementary.h.

References sp_minus.

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

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

Definition at line 249 of file ope_elementary.h.

References sp_plus.


Member Data Documentation

double Lorene::Ope_elementary::alpha [protected]

Parameter $\alpha$ of the associated mapping.

Definition at line 108 of file ope_elementary.h.

Radial basis of decomposition.

Definition at line 107 of file ope_elementary.h.

double Lorene::Ope_elementary::beta [protected]

Parameter $\beta$ of the associated mapping.

Definition at line 109 of file ope_elementary.h.

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

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]

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]

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]

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]

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]

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

Definition at line 177 of file ope_elementary.h.

Pointer on the non-degenerated matrix of the operator.

Definition at line 122 of file ope_elementary.h.

int Lorene::Ope_elementary::nr [protected]

Number of radial points.

Definition at line 106 of file ope_elementary.h.

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

Pointer on the banded-matrix of the operator.

Definition at line 118 of file ope_elementary.h.

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]

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]

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]

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]

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]

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]

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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