Basic class for elementary elliptic operators. More...

#include <ope_elementary.h>

Inheritance diagram for Lorene::Ope_elementary:

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 $\alpha$ of the associated mapping. More...

double	beta
	Parameter $\beta$ of the associated mapping. More...

Matrice *	ope_mat
	Pointer on the matrix representation of the operator. More...

Matrice *	ope_cl
	Pointer on the banded-matrix of the operator. More...

Matrice *	non_dege
	Pointer on the non-degenerated 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 banded-matrix of the operator. More...

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

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

◆ Ope_elementary() [1/2]

Lorene::Ope_elementary::Ope_elementary	(	int	nbr,
		int	baser,
		double	alf,
		double	eta
	)

explicitprotected

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.

◆ Ope_elementary() [2/2]

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.

◆ ~Ope_elementary()

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

◆ der_sh_one_minus()

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.

◆ der_sh_one_plus()

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.

◆ der_sh_two_minus()

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.

◆ der_sh_two_plus()

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.

◆ der_sp_minus()

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.

◆ der_sp_plus()

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.

◆ do_non_dege()

virtual void Lorene::Ope_elementary::do_non_dege ( ) const

privatepure virtual

Computes the non-degenerated 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.

◆ do_ope_cl()

virtual void Lorene::Ope_elementary::do_ope_cl ( ) const

privatepure virtual

Computes the banded-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.

◆ do_ope_mat()

virtual void Lorene::Ope_elementary::do_ope_mat ( ) const

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.

◆ get_alpha()

double Lorene::Ope_elementary::get_alpha ( ) const

inline

Returns alpha .

Definition at line 262 of file ope_elementary.h.

References alpha.

◆ get_base_r()

int Lorene::Ope_elementary::get_base_r ( ) const

inline

Returns base_r}.

Definition at line 268 of file ope_elementary.h.

References base_r.

◆ get_beta()

double Lorene::Ope_elementary::get_beta ( ) const

inline

Returns beta}.

Definition at line 265 of file ope_elementary.h.

References beta.

◆ get_non_dege()

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.

◆ get_ope_cl()

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.

◆ get_ope_mat()

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.

◆ get_solh()

virtual Tbl Lorene::Ope_elementary::get_solh ( ) const

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.

◆ get_solp()

virtual Tbl Lorene::Ope_elementary::get_solp ( const Tbl & so ) const

pure virtual

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.

◆ inc_l_quant()

virtual void Lorene::Ope_elementary::inc_l_quant ( )

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.

◆ val_sh_one_minus()

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.

◆ val_sh_one_plus()

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.

◆ val_sh_two_minus()

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.

◆ val_sh_two_plus()

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.

◆ val_sp_minus()

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.

◆ val_sp_plus()

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

◆ alpha

double Lorene::Ope_elementary::alpha

protected

Parameter $\alpha$ of the associated mapping.

Definition at line 108 of file ope_elementary.h.

◆ base_r

int Lorene::Ope_elementary::base_r

protected

Radial basis of decomposition.

Definition at line 107 of file ope_elementary.h.

◆ beta

double Lorene::Ope_elementary::beta

protected

Parameter $\beta$ of the associated mapping.

Definition at line 109 of file ope_elementary.h.

◆ ds_one_minus

double Lorene::Ope_elementary::ds_one_minus

mutableprotected

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

Definition at line 141 of file ope_elementary.h.

◆ ds_one_plus

double Lorene::Ope_elementary::ds_one_plus

mutableprotected

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

Definition at line 136 of file ope_elementary.h.

◆ ds_two_minus

double Lorene::Ope_elementary::ds_two_minus

mutableprotected

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

Definition at line 160 of file ope_elementary.h.

◆ ds_two_plus

double Lorene::Ope_elementary::ds_two_plus

mutableprotected

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

Definition at line 155 of file ope_elementary.h.

◆ dsp_minus

double Lorene::Ope_elementary::dsp_minus

mutableprotected

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

Definition at line 173 of file ope_elementary.h.

◆ dsp_plus

double Lorene::Ope_elementary::dsp_plus

mutableprotected

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

Definition at line 177 of file ope_elementary.h.

◆ non_dege

Matrice* Lorene::Ope_elementary::non_dege

mutableprotected

Pointer on the non-degenerated matrix of the operator.

Definition at line 122 of file ope_elementary.h.

◆ nr

int Lorene::Ope_elementary::nr

protected

Number of radial points.

Definition at line 106 of file ope_elementary.h.

◆ ope_cl

Matrice* Lorene::Ope_elementary::ope_cl

mutableprotected

Pointer on the banded-matrix of the operator.

Definition at line 118 of file ope_elementary.h.

◆ ope_mat

Matrice* Lorene::Ope_elementary::ope_mat

mutableprotected

Pointer on the matrix representation of the operator.

Definition at line 114 of file ope_elementary.h.

◆ s_one_minus

double Lorene::Ope_elementary::s_one_minus

mutableprotected

Value of the first homogeneous solution at the inner boundary.

Definition at line 131 of file ope_elementary.h.

◆ s_one_plus

double Lorene::Ope_elementary::s_one_plus

mutableprotected

Value of the first homogeneous solution at the outer boundary.

Definition at line 127 of file ope_elementary.h.

◆ s_two_minus

double Lorene::Ope_elementary::s_two_minus

mutableprotected

Value of the second homogeneous solution at the inner boundary.

Definition at line 150 of file ope_elementary.h.

◆ s_two_plus

double Lorene::Ope_elementary::s_two_plus

mutableprotected

Value of the second homogeneous solution at the outer boundary.

Definition at line 146 of file ope_elementary.h.

◆ sp_minus

double Lorene::Ope_elementary::sp_minus

mutableprotected

Value of the particular solution at the inner boundary.

Definition at line 165 of file ope_elementary.h.

◆ sp_plus

double Lorene::Ope_elementary::sp_plus

mutableprotected

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:

Public Member Functions

Protected Member Functions

Protected Attributes

Private Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ Ope_elementary() [1/2]

◆ Ope_elementary() [2/2]

◆ ~Ope_elementary()

Member Function Documentation

◆ der_sh_one_minus()

◆ der_sh_one_plus()

◆ der_sh_two_minus()

◆ der_sh_two_plus()

◆ der_sp_minus()

◆ der_sp_plus()

◆ do_non_dege()

◆ do_ope_cl()

◆ do_ope_mat()

◆ get_alpha()

◆ get_base_r()

◆ get_beta()

◆ get_non_dege()

◆ get_ope_cl()

◆ get_ope_mat()

◆ get_solh()

◆ get_solp()

◆ inc_l_quant()

◆ val_sh_one_minus()

◆ val_sh_one_plus()

◆ val_sh_two_minus()

◆ val_sh_two_plus()

◆ val_sp_minus()

◆ val_sp_plus()

Member Data Documentation

◆ alpha

◆ base_r

◆ beta

◆ ds_one_minus

◆ ds_one_plus

◆ ds_two_minus

◆ ds_two_plus

◆ dsp_minus

◆ dsp_plus

◆ non_dege

◆ nr

◆ ope_cl

◆ ope_mat

◆ s_one_minus

◆ s_one_plus

◆ s_two_minus

◆ s_two_plus

◆ sp_minus

◆ sp_plus