Class for the operator of the rr component of the divergence-free tensor Poisson equation. More...

#include <ope_elementary.h>

Inheritance diagram for Lorene::Ope_pois_tens_rr:

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

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

virtual	~Ope_pois_tens_rr ()
	Destructor. More...

virtual Tbl	get_solh () const
	Computes the homogeneous solutions(s). 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 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 rr component of the divergence-free tensor Poisson equation.

The operator reads $\Delta + \frac{4}{r} *\frac{\partial}{\partial r} + \frac{6}{r^2}$ in all domains, for $l \geq 2$ .

It is implemented in every type of domain.

Definition at line 679 of file ope_elementary.h.

Constructor & Destructor Documentation

◆ Ope_pois_tens_rr() [1/2]

Lorene::Ope_pois_tens_rr::Ope_pois_tens_rr	(	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 60 of file ope_pois_tens_rr.C.

References Lorene::Ope_poisson::dzpuis, and Lorene::Ope_poisson::l_quant.

◆ Ope_pois_tens_rr() [2/2]

Lorene::Ope_pois_tens_rr::Ope_pois_tens_rr ( const Ope_pois_tens_rr & so )

Constructor by copy.

Definition at line 68 of file ope_pois_tens_rr.C.

References Lorene::Ope_poisson::dzpuis, and Lorene::Ope_poisson::l_quant.

◆ ~Ope_pois_tens_rr()

Lorene::Ope_pois_tens_rr::~Ope_pois_tens_rr ( )

virtual

Destructor.

Definition at line 75 of file ope_pois_tens_rr.C.

Member Function Documentation

◆ dec_l_quant()

void Lorene::Ope_poisson::dec_l_quant ( )

virtualinherited

Decreases the quatum number l by one unit.

Definition at line 158 of file ope_poisson.C.

References Lorene::Ope_poisson::l_quant, Lorene::Ope_elementary::non_dege, Lorene::Ope_elementary::ope_cl, and Lorene::Ope_elementary::ope_mat.

◆ 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_pois_tens_rr::do_non_dege ( ) const

privatevirtual

Computes the non-degenerated matrix of the operator.

Reimplemented from Lorene::Ope_poisson.

Definition at line 97 of file ope_pois_tens_rr.C.

References Lorene::Ope_elementary::alpha, Lorene::Ope_elementary::base_r, Lorene::Ope_elementary::beta, do_ope_cl(), Lorene::Ope_poisson::dzpuis, Lorene::Ope_poisson::l_quant, Lorene::Ope_elementary::non_dege, and Lorene::Ope_elementary::ope_cl.

◆ do_ope_cl()

void Lorene::Ope_pois_tens_rr::do_ope_cl ( ) const

privatevirtual

Computes the banded-matrix of the operator.

Reimplemented from Lorene::Ope_poisson.

Definition at line 86 of file ope_pois_tens_rr.C.

References Lorene::Ope_elementary::alpha, Lorene::Ope_elementary::base_r, Lorene::Ope_elementary::beta, do_ope_mat(), Lorene::Ope_poisson::dzpuis, Lorene::Ope_poisson::l_quant, Lorene::Ope_elementary::ope_cl, and Lorene::Ope_elementary::ope_mat.

◆ do_ope_mat()

void Lorene::Ope_pois_tens_rr::do_ope_mat ( ) const

privatevirtual

Computes the matrix of the operator.

Reimplemented from Lorene::Ope_poisson.

Definition at line 78 of file ope_pois_tens_rr.C.

References Lorene::Ope_elementary::alpha, Lorene::Ope_elementary::base_r, Lorene::Ope_elementary::beta, Lorene::Ope_poisson::dzpuis, Lorene::Ope_poisson::l_quant, Lorene::Ope_elementary::nr, and Lorene::Ope_elementary::ope_mat.

◆ 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::get_dzpuis ( )

inlineinherited

Returns the associated dzpuis, if in the compactified domain.

Definition at line 347 of file ope_elementary.h.

References Lorene::Ope_poisson::dzpuis.

◆ get_lquant()

int Lorene::Ope_poisson::get_lquant ( )

inlineinherited

Returns the quantum number l.

Definition at line 350 of file ope_elementary.h.

References Lorene::Ope_poisson::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_pois_tens_rr::get_solh ( ) const

virtual

Computes the homogeneous solutions(s).

Reimplemented from Lorene::Ope_poisson.

Definition at line 108 of file ope_pois_tens_rr.C.

References Lorene::Ope_elementary::alpha, Lorene::Ope_elementary::base_r, Lorene::Ope_elementary::beta, Lorene::Ope_elementary::ds_one_minus, Lorene::Ope_elementary::ds_one_plus, Lorene::Ope_elementary::ds_two_minus, Lorene::Ope_elementary::ds_two_plus, Lorene::Tbl::get_ndim(), Lorene::Ope_poisson::l_quant, Lorene::Ope_elementary::nr, R_CHEBU, Lorene::Ope_elementary::s_one_minus, Lorene::Ope_elementary::s_one_plus, Lorene::Ope_elementary::s_two_minus, and Lorene::Ope_elementary::s_two_plus.

◆ get_solp()

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

virtualinherited

Computes the particular solution, given the source so .

Implements Lorene::Ope_elementary.

Definition at line 97 of file ope_poisson.C.

References Lorene::Ope_elementary::alpha, Lorene::Ope_elementary::base_r, Lorene::Ope_elementary::beta, Lorene::Ope_poisson::do_non_dege(), Lorene::Ope_elementary::dsp_minus, Lorene::Ope_elementary::dsp_plus, Lorene::Ope_poisson::dzpuis, Lorene::Ope_elementary::non_dege, Lorene::Ope_elementary::ope_mat, Lorene::Ope_elementary::sp_minus, and Lorene::Ope_elementary::sp_plus.

◆ inc_l_quant()

void Lorene::Ope_poisson::inc_l_quant ( )

virtualinherited

Increases the quatum number l by one unit.

Implements Lorene::Ope_elementary.

Definition at line 139 of file ope_poisson.C.

References Lorene::Ope_poisson::l_quant, Lorene::Ope_elementary::non_dege, Lorene::Ope_elementary::ope_cl, and Lorene::Ope_elementary::ope_mat.

◆ 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::dzpuis

protectedinherited

the associated dzpuis, if in the compactified domain.

Definition at line 329 of file ope_elementary.h.

◆ l_quant

int Lorene::Ope_poisson::l_quant

protectedinherited

quantum number

Definition at line 328 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_pois_tens_rr() [1/2]

◆ Ope_pois_tens_rr() [2/2]

◆ ~Ope_pois_tens_rr()

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