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

Basic class for elementary elliptic operators. More...

#include <ope_elementary.h>

Inheritance diagram for Ope_elementary:

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.
Matrice *	ope_mat
	Pointer on the matrix representation of the operator.
Matrice *	ope_cl
	Pointer on the banded-matrix of the operator.
Matrice *	non_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 98 of file ope_elementary.h.

Constructor & Destructor Documentation

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 38 of file ope_elementary.C.

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

Constructor by copy.

Definition at line 43 of file ope_elementary.C.

References non_dege, ope_cl, and ope_mat.

Ope_elementary::~Ope_elementary ( ) [virtual]

Destructor.

Definition at line 58 of file ope_elementary.C.

References non_dege, ope_cl, and ope_mat.

Member Function Documentation

double 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 207 of file ope_elementary.h.

References ds_one_minus.

double 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 213 of file ope_elementary.h.

References ds_one_plus.

double 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 230 of file ope_elementary.h.

References ds_two_minus.

double 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 236 of file ope_elementary.h.

References ds_two_plus.

double Ope_elementary::der_sp_minus ( ) const [inline]

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

Definition at line 250 of file ope_elementary.h.

References dsp_minus.

double Ope_elementary::der_sp_plus ( ) const [inline]

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

Definition at line 255 of file ope_elementary.h.

References dsp_plus.

virtual void Ope_elementary::do_non_dege ( ) const [private, pure virtual]

Computes the non-degenerated matrix of the operator.

Implemented in Ope_poisson, Ope_helmholtz_minus, Ope_helmholtz_plus, Ope_sec_order_r2, Ope_sec_order, Ope_pois_vect_r, Ope_pois_tens_rr, Ope_poisson_2d, Ope_helmholtz_minus_2d, Ope_poisson_pseudo_1d, Ope_helmholtz_minus_pseudo_1d, and Ope_vorton.

virtual void Ope_elementary::do_ope_cl ( ) const [private, pure virtual]

Computes the banded-matrix of the operator.

Implemented in Ope_poisson, Ope_helmholtz_minus, Ope_helmholtz_plus, Ope_sec_order_r2, Ope_sec_order, Ope_pois_vect_r, Ope_pois_tens_rr, Ope_poisson_2d, Ope_helmholtz_minus_2d, Ope_poisson_pseudo_1d, Ope_helmholtz_minus_pseudo_1d, and Ope_vorton.

virtual void Ope_elementary::do_ope_mat ( ) const [private, pure virtual]

Computes the matrix of the operator.

Implemented in Ope_poisson, Ope_helmholtz_minus, Ope_helmholtz_plus, Ope_sec_order_r2, Ope_sec_order, Ope_pois_vect_r, Ope_pois_tens_rr, Ope_poisson_2d, Ope_helmholtz_minus_2d, Ope_poisson_pseudo_1d, Ope_helmholtz_minus_pseudo_1d, and Ope_vorton.

double Ope_elementary::get_alpha ( ) const [inline]

Returns alpha .

Definition at line 258 of file ope_elementary.h.

References alpha.

int Ope_elementary::get_base_r ( ) const [inline]

Returns base_r}.

Definition at line 264 of file ope_elementary.h.

References base_r.

double Ope_elementary::get_beta ( ) const [inline]

Returns beta}.

Definition at line 261 of file ope_elementary.h.

References beta.

Matrice Ope_elementary::get_non_dege ( ) [inline]

Returns the non degenerate matrix representation.

Definition at line 281 of file ope_elementary.h.

References do_non_dege(), and non_dege.

Matrice Ope_elementary::get_ope_cl ( ) [inline]

Returns the banded matrix representation.

Definition at line 274 of file ope_elementary.h.

References do_ope_cl(), and ope_cl.

Matrice Ope_elementary::get_ope_mat ( ) [inline]

Returns the matrix representation.

Definition at line 267 of file ope_elementary.h.

References do_ope_mat(), and ope_mat.

virtual Tbl Ope_elementary::get_solh ( ) const [pure virtual]

Computes the homogeneous solutions(s).

Implemented in Ope_poisson, Ope_helmholtz_minus, Ope_helmholtz_plus, Ope_sec_order_r2, Ope_sec_order, Ope_pois_vect_r, Ope_pois_tens_rr, Ope_poisson_2d, Ope_helmholtz_minus_2d, Ope_poisson_pseudo_1d, Ope_helmholtz_minus_pseudo_1d, and Ope_vorton.

virtual Tbl Ope_elementary::get_solp ( const Tbl & so ) const [pure virtual]

Computes the particular solution, given the source so .

Implemented in Ope_poisson, Ope_helmholtz_minus, Ope_helmholtz_plus, Ope_sec_order_r2, Ope_sec_order, Ope_poisson_2d, Ope_helmholtz_minus_2d, Ope_poisson_pseudo_1d, Ope_helmholtz_minus_pseudo_1d, and Ope_vorton.

virtual void Ope_elementary::inc_l_quant ( ) [pure virtual]

Increases the quatum number l by one unit.

Implemented in Ope_poisson, Ope_helmholtz_minus, Ope_helmholtz_plus, Ope_sec_order_r2, Ope_sec_order, Ope_poisson_2d, Ope_helmholtz_minus_2d, Ope_poisson_pseudo_1d, Ope_helmholtz_minus_pseudo_1d, and Ope_vorton.

double Ope_elementary::val_sh_one_minus ( ) const [inline]

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

Definition at line 196 of file ope_elementary.h.

References s_one_minus.

double Ope_elementary::val_sh_one_plus ( ) const [inline]

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

Definition at line 201 of file ope_elementary.h.

References s_one_plus.

double Ope_elementary::val_sh_two_minus ( ) const [inline]

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

Definition at line 219 of file ope_elementary.h.

References s_two_minus.

double Ope_elementary::val_sh_two_plus ( ) const [inline]

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

Definition at line 224 of file ope_elementary.h.

References s_two_plus.

double Ope_elementary::val_sp_minus ( ) const [inline]

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

Definition at line 241 of file ope_elementary.h.

References sp_minus.

double Ope_elementary::val_sp_plus ( ) const [inline]

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

Definition at line 245 of file ope_elementary.h.

References sp_plus.

Member Data Documentation

double Ope_elementary::alpha [protected]

Parameter $\alpha$ of the associated mapping.

Definition at line 104 of file ope_elementary.h.

int Ope_elementary::base_r [protected]

Radial basis of decomposition.

Definition at line 103 of file ope_elementary.h.

double Ope_elementary::beta [protected]

Parameter $\beta$ of the associated mapping.

Definition at line 105 of file ope_elementary.h.

double Ope_elementary::ds_one_minus [mutable, protected]

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

Definition at line 137 of file ope_elementary.h.

double Ope_elementary::ds_one_plus [mutable, protected]

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

Definition at line 132 of file ope_elementary.h.

double Ope_elementary::ds_two_minus [mutable, protected]

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

Definition at line 156 of file ope_elementary.h.

double Ope_elementary::ds_two_plus [mutable, protected]

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

Definition at line 151 of file ope_elementary.h.

double Ope_elementary::dsp_minus [mutable, protected]

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

Definition at line 169 of file ope_elementary.h.

double Ope_elementary::dsp_plus [mutable, protected]

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

Definition at line 173 of file ope_elementary.h.

Matrice* Ope_elementary::non_dege [mutable, protected]

Pointer on the non-degenerated matrix of the operator.

Definition at line 118 of file ope_elementary.h.

int Ope_elementary::nr [protected]

Number of radial points.

Definition at line 102 of file ope_elementary.h.

Matrice* Ope_elementary::ope_cl [mutable, protected]

Pointer on the banded-matrix of the operator.

Definition at line 114 of file ope_elementary.h.

Matrice* Ope_elementary::ope_mat [mutable, protected]

Pointer on the matrix representation of the operator.

Definition at line 110 of file ope_elementary.h.

double Ope_elementary::s_one_minus [mutable, protected]

Value of the first homogeneous solution at the inner boundary.

Definition at line 127 of file ope_elementary.h.

double Ope_elementary::s_one_plus [mutable, protected]

Value of the first homogeneous solution at the outer boundary.

Definition at line 123 of file ope_elementary.h.

double Ope_elementary::s_two_minus [mutable, protected]

Value of the second homogeneous solution at the inner boundary.

Definition at line 146 of file ope_elementary.h.

double Ope_elementary::s_two_plus [mutable, protected]

Value of the second homogeneous solution at the outer boundary.

Definition at line 142 of file ope_elementary.h.

double Ope_elementary::sp_minus [mutable, protected]

Value of the particular solution at the inner boundary.

Definition at line 161 of file ope_elementary.h.

double Ope_elementary::sp_plus [mutable, protected]

Value of the particular solution at the outer boundary.

Definition at line 165 of file ope_elementary.h.

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

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

Public Member Functions

Protected Member Functions

Protected Attributes

Private Member Functions

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

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