Class for the operator of the Poisson equation in 2D. More...

#include <ope_elementary.h>

Inheritance diagram for Lorene::Ope_poisson_2d:

Public Member Functions
	Ope_poisson_2d (int nbr, int baser, double alf, double bet, int lq, int dz)
	Standard constructor. More...

	Ope_poisson_2d (const Ope_poisson_2d &)
	Constructor by copy. More...

virtual	~Ope_poisson_2d ()
	Destructor. More...

int	get_dzpuis ()
	Returns the associated dzpuis, if in the compactified domain. More...

int	get_lquant ()
	Returns the quantum number l. More...

virtual Tbl	get_solp (const Tbl &so) const
	Computes the particular solution, given the source `so` . More...

virtual Tbl	get_solh () const
	Computes the homogeneous solutions(s). More...

virtual void	inc_l_quant ()
	Increases the quatum number l by one unit. More...

virtual void	dec_l_quant ()
	Decreases the quatum number l by one unit. 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...

Protected Attributes
int	l_quant
	quantum number More...

int	dzpuis
	the associated dzpuis, if in the compactified domain. More...

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
	Computes the matrix of the operator. More...

virtual void	do_ope_cl () const
	Computes the banded-matrix of the operator. More...

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

Detailed Description

Class for the operator of the Poisson equation in 2D.

It is implemented in every type of domains.

Definition at line 723 of file ope_elementary.h.

Constructor & Destructor Documentation

◆ Ope_poisson_2d() [1/2]

Lorene::Ope_poisson_2d::Ope_poisson_2d	(	int	nbr,
		int	baser,
		double	alf,
		double	bet,
		int	lq,
		int	dz
	)

Standard constructor.

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.
lq	[input] quantum number l .
dz	[input] dzpuis of the source.

Definition at line 50 of file ope_poisson_2d.C.

References dzpuis.

◆ Ope_poisson_2d() [2/2]

Lorene::Ope_poisson_2d::Ope_poisson_2d ( const Ope_poisson_2d & so )

Constructor by copy.

Definition at line 58 of file ope_poisson_2d.C.

References dzpuis.

◆ ~Ope_poisson_2d()

Lorene::Ope_poisson_2d::~Ope_poisson_2d ( )

virtual

Destructor.

Definition at line 66 of file ope_poisson_2d.C.

Member Function Documentation

◆ dec_l_quant()

void Lorene::Ope_poisson_2d::dec_l_quant ( )

virtual

Decreases the quatum number l by one unit.

Definition at line 74 of file ope_poisson_2d.C.

◆ der_sh_one_minus()

double Lorene::Ope_elementary::der_sh_one_minus ( ) const

inlineinherited

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.

◆ der_sh_one_plus()

double Lorene::Ope_elementary::der_sh_one_plus ( ) const

inlineinherited

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.

◆ der_sh_two_minus()

double Lorene::Ope_elementary::der_sh_two_minus ( ) const

inlineinherited

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.

◆ der_sh_two_plus()

double Lorene::Ope_elementary::der_sh_two_plus ( ) const

inlineinherited

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.

◆ der_sp_minus()

double Lorene::Ope_elementary::der_sp_minus ( ) const

inlineinherited

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.

◆ der_sp_plus()

double Lorene::Ope_elementary::der_sp_plus ( ) const

inlineinherited

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.

◆ do_non_dege()

void Lorene::Ope_poisson_2d::do_non_dege ( ) const

privatevirtual

Computes the non-degenerated matrix of the operator.

Implements Lorene::Ope_elementary.

Definition at line 454 of file ope_poisson_2d_non_dege.C.

References Lorene::Ope_elementary::alpha, Lorene::Ope_elementary::base_r, Lorene::Ope_elementary::beta, do_ope_cl(), dzpuis, l_quant, MAX_BASE, Lorene::Ope_elementary::non_dege, Lorene::Ope_elementary::ope_cl, R_CHEB, R_CHEBI, R_CHEBP, R_CHEBU, and TRA_R.

◆ do_ope_cl()

void Lorene::Ope_poisson_2d::do_ope_cl ( ) const

privatevirtual

Computes the banded-matrix of the operator.

Implements Lorene::Ope_elementary.

Definition at line 445 of file ope_poisson_2d_cl.C.

References Lorene::Ope_elementary::alpha, Lorene::Ope_elementary::base_r, Lorene::Ope_elementary::beta, do_ope_mat(), dzpuis, l_quant, MAX_BASE, Lorene::Ope_elementary::ope_cl, Lorene::Ope_elementary::ope_mat, R_CHEB, R_CHEBI, R_CHEBP, R_CHEBU, and TRA_R.

◆ do_ope_mat()

void Lorene::Ope_poisson_2d::do_ope_mat ( ) const

privatevirtual

Computes the matrix of the operator.

Implements Lorene::Ope_elementary.

Definition at line 614 of file ope_poisson_2d_mat.C.

References Lorene::Ope_elementary::alpha, Lorene::Ope_elementary::base_r, Lorene::Ope_elementary::beta, dzpuis, l_quant, MAX_BASE, Lorene::Ope_elementary::nr, Lorene::Ope_elementary::ope_mat, R_CHEB, R_CHEBI, R_CHEBP, R_CHEBU, and TRA_R.

◆ get_alpha()

double Lorene::Ope_elementary::get_alpha ( ) const

inlineinherited

Returns alpha .

Definition at line 262 of file ope_elementary.h.

References Lorene::Ope_elementary::alpha.

◆ get_base_r()

int Lorene::Ope_elementary::get_base_r ( ) const

inlineinherited

Returns base_r}.

Definition at line 268 of file ope_elementary.h.

References Lorene::Ope_elementary::base_r.

◆ get_beta()

double Lorene::Ope_elementary::get_beta ( ) const

inlineinherited

Returns beta}.

Definition at line 265 of file ope_elementary.h.

References Lorene::Ope_elementary::beta.

◆ get_dzpuis()

int Lorene::Ope_poisson_2d::get_dzpuis ( )

inline

Returns the associated dzpuis, if in the compactified domain.

Definition at line 745 of file ope_elementary.h.

References dzpuis.

◆ get_lquant()

int Lorene::Ope_poisson_2d::get_lquant ( )

inline

Returns the quantum number l.

Definition at line 748 of file ope_elementary.h.

References l_quant.

◆ get_non_dege()

Matrice Lorene::Ope_elementary::get_non_dege ( )

inlineinherited

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.

◆ get_ope_cl()

Matrice Lorene::Ope_elementary::get_ope_cl ( )

inlineinherited

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.

◆ get_ope_mat()

Matrice Lorene::Ope_elementary::get_ope_mat ( )

inlineinherited

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.

◆ get_solh()

Tbl Lorene::Ope_poisson_2d::get_solh ( ) const

virtual

Computes the homogeneous solutions(s).

Implements Lorene::Ope_elementary.

Definition at line 375 of file ope_poisson_2d_solh.C.

◆ get_solp()

Tbl Lorene::Ope_poisson_2d::get_solp ( const Tbl & so ) const

virtual

Computes the particular solution, given the source so .

Implements Lorene::Ope_elementary.

Definition at line 538 of file ope_poisson_2d_solp.C.

References Lorene::Ope_elementary::alpha, Lorene::Ope_elementary::base_r, Lorene::Ope_elementary::beta, do_non_dege(), Lorene::Ope_elementary::dsp_minus, Lorene::Ope_elementary::dsp_plus, dzpuis, MAX_BASE, Lorene::Ope_elementary::non_dege, Lorene::Ope_elementary::ope_mat, R_CHEB, R_CHEBI, R_CHEBP, R_CHEBU, Lorene::Ope_elementary::sp_minus, Lorene::Ope_elementary::sp_plus, Lorene::sqrt(), and TRA_R.

◆ inc_l_quant()

void Lorene::Ope_poisson_2d::inc_l_quant ( )

virtual

Increases the quatum number l by one unit.

Implements Lorene::Ope_elementary.

Definition at line 68 of file ope_poisson_2d.C.

◆ val_sh_one_minus()

double Lorene::Ope_elementary::val_sh_one_minus ( ) const

inlineinherited

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.

◆ val_sh_one_plus()

double Lorene::Ope_elementary::val_sh_one_plus ( ) const

inlineinherited

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.

◆ val_sh_two_minus()

double Lorene::Ope_elementary::val_sh_two_minus ( ) const

inlineinherited

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.

◆ val_sh_two_plus()

double Lorene::Ope_elementary::val_sh_two_plus ( ) const

inlineinherited

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.

◆ val_sp_minus()

double Lorene::Ope_elementary::val_sp_minus ( ) const

inlineinherited

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.

◆ val_sp_plus()

double Lorene::Ope_elementary::val_sp_plus ( ) const

inlineinherited

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

◆ alpha

double Lorene::Ope_elementary::alpha

protectedinherited

Parameter $\alpha$ of the associated mapping.

Definition at line 108 of file ope_elementary.h.

◆ base_r

int Lorene::Ope_elementary::base_r

protectedinherited

Radial basis of decomposition.

Definition at line 107 of file ope_elementary.h.

◆ beta

double Lorene::Ope_elementary::beta

protectedinherited

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

mutableprotectedinherited

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

mutableprotectedinherited

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

mutableprotectedinherited

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

mutableprotectedinherited

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

mutableprotectedinherited

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

mutableprotectedinherited

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

Definition at line 177 of file ope_elementary.h.

◆ dzpuis

int Lorene::Ope_poisson_2d::dzpuis

protected

the associated dzpuis, if in the compactified domain.

Definition at line 727 of file ope_elementary.h.

◆ l_quant

int Lorene::Ope_poisson_2d::l_quant

protected

quantum number

Definition at line 726 of file ope_elementary.h.

◆ non_dege

Matrice* Lorene::Ope_elementary::non_dege

mutableprotectedinherited

Pointer on the non-degenerated matrix of the operator.

Definition at line 122 of file ope_elementary.h.

◆ nr

int Lorene::Ope_elementary::nr

protectedinherited

Number of radial points.

Definition at line 106 of file ope_elementary.h.

◆ ope_cl

Matrice* Lorene::Ope_elementary::ope_cl

mutableprotectedinherited

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

mutableprotectedinherited

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

mutableprotectedinherited

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

mutableprotectedinherited

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

mutableprotectedinherited

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

mutableprotectedinherited

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

mutableprotectedinherited

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

mutableprotectedinherited

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 Attributes

Private Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ Ope_poisson_2d() [1/2]

◆ Ope_poisson_2d() [2/2]

◆ ~Ope_poisson_2d()

Member Function Documentation

◆ dec_l_quant()

◆ 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_dzpuis()

◆ get_lquant()

◆ 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

◆ dzpuis

◆ l_quant

◆ non_dege

◆ nr

◆ ope_cl

◆ ope_mat

◆ s_one_minus

◆ s_one_plus

◆ s_two_minus

◆ s_two_plus

◆ sp_minus

◆ sp_plus