Ope_pois_tens_rr Class Reference

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

#include <ope_elementary.h>

Inheritance diagram for 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.
	Ope_pois_tens_rr (const Ope_pois_tens_rr &)
	Constructor by copy.
virtual	~Ope_pois_tens_rr ()
	Destructor.
virtual Tbl	get_solh () const
	Computes the homogeneous solutions(s).
int	get_dzpuis ()
	Returns the associated dzpuis, if in the compactified domain.
int	get_lquant ()
	Returns the quantum number l.
virtual Tbl	get_solp (const Tbl &so) const
	Computes the particular solution, given the source `so` .
virtual void	inc_l_quant ()
	Increases the quatum number l by one unit.
virtual void	dec_l_quant ()
	Decreases the quatum number l by one unit.
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.
Protected Attributes
int	l_quant
	quantum number
int	dzpuis
	the associated dzpuis, if in the compactified domain.
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
	Computes the matrix of the operator.
virtual void	do_ope_cl () const
	Computes the banded-matrix of the operator.
virtual void	do_non_dege () const
	Computes the non-degenerated matrix of the operator.

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 675 of file ope_elementary.h.

Constructor & Destructor Documentation

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 53 of file ope_pois_tens_rr.C.

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

Ope_pois_tens_rr::Ope_pois_tens_rr ( const Ope_pois_tens_rr & so )

Constructor by copy.

Definition at line 61 of file ope_pois_tens_rr.C.

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

Ope_pois_tens_rr::~Ope_pois_tens_rr ( ) [virtual]

Destructor.

Definition at line 68 of file ope_pois_tens_rr.C.

Member Function Documentation

void Ope_poisson::dec_l_quant ( ) [virtual, inherited]

Decreases the quatum number l by one unit.

Definition at line 151 of file ope_poisson.C.

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

double Ope_elementary::der_sh_one_minus ( ) const [inline, inherited]

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 Ope_elementary::ds_one_minus.

double Ope_elementary::der_sh_one_plus ( ) const [inline, inherited]

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 Ope_elementary::ds_one_plus.

double Ope_elementary::der_sh_two_minus ( ) const [inline, inherited]

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 Ope_elementary::ds_two_minus.

double Ope_elementary::der_sh_two_plus ( ) const [inline, inherited]

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 Ope_elementary::ds_two_plus.

double Ope_elementary::der_sp_minus ( ) const [inline, inherited]

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

Definition at line 250 of file ope_elementary.h.

References Ope_elementary::dsp_minus.

double Ope_elementary::der_sp_plus ( ) const [inline, inherited]

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

Definition at line 255 of file ope_elementary.h.

References Ope_elementary::dsp_plus.

void Ope_pois_tens_rr::do_non_dege ( ) const [private, virtual]

Computes the non-degenerated matrix of the operator.

Reimplemented from Ope_poisson.

Definition at line 90 of file ope_pois_tens_rr.C.

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

void Ope_pois_tens_rr::do_ope_cl ( ) const [private, virtual]

Computes the banded-matrix of the operator.

Reimplemented from Ope_poisson.

Definition at line 79 of file ope_pois_tens_rr.C.

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

void Ope_pois_tens_rr::do_ope_mat ( ) const [private, virtual]

Computes the matrix of the operator.

Reimplemented from Ope_poisson.

Definition at line 71 of file ope_pois_tens_rr.C.

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

double Ope_elementary::get_alpha ( ) const [inline, inherited]

Returns alpha .

Definition at line 258 of file ope_elementary.h.

References Ope_elementary::alpha.

int Ope_elementary::get_base_r ( ) const [inline, inherited]

Returns base_r}.

Definition at line 264 of file ope_elementary.h.

References Ope_elementary::base_r.

double Ope_elementary::get_beta ( ) const [inline, inherited]

Returns beta}.

Definition at line 261 of file ope_elementary.h.

References Ope_elementary::beta.

int Ope_poisson::get_dzpuis ( ) [inline, inherited]

Returns the associated dzpuis, if in the compactified domain.

Definition at line 343 of file ope_elementary.h.

References Ope_poisson::dzpuis.

int Ope_poisson::get_lquant ( ) [inline, inherited]

Returns the quantum number l.

Definition at line 346 of file ope_elementary.h.

References Ope_poisson::l_quant.

Matrice Ope_elementary::get_non_dege ( ) [inline, inherited]

Returns the non degenerate matrix representation.

Definition at line 281 of file ope_elementary.h.

References Ope_elementary::do_non_dege(), and Ope_elementary::non_dege.

Matrice Ope_elementary::get_ope_cl ( ) [inline, inherited]

Returns the banded matrix representation.

Definition at line 274 of file ope_elementary.h.

References Ope_elementary::do_ope_cl(), and Ope_elementary::ope_cl.

Matrice Ope_elementary::get_ope_mat ( ) [inline, inherited]

Returns the matrix representation.

Definition at line 267 of file ope_elementary.h.

References Ope_elementary::do_ope_mat(), and Ope_elementary::ope_mat.

Tbl Ope_pois_tens_rr::get_solh ( ) const [virtual]

Computes the homogeneous solutions(s).

Reimplemented from Ope_poisson.

Definition at line 101 of file ope_pois_tens_rr.C.

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

Tbl Ope_poisson::get_solp ( const Tbl & so ) const [virtual, inherited]

Computes the particular solution, given the source so .

Implements Ope_elementary.

Definition at line 90 of file ope_poisson.C.

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

void Ope_poisson::inc_l_quant ( ) [virtual, inherited]

Increases the quatum number l by one unit.

Implements Ope_elementary.

Definition at line 132 of file ope_poisson.C.

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

double Ope_elementary::val_sh_one_minus ( ) const [inline, inherited]

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

Definition at line 196 of file ope_elementary.h.

References Ope_elementary::s_one_minus.

double Ope_elementary::val_sh_one_plus ( ) const [inline, inherited]

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

Definition at line 201 of file ope_elementary.h.

References Ope_elementary::s_one_plus.

double Ope_elementary::val_sh_two_minus ( ) const [inline, inherited]

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

Definition at line 219 of file ope_elementary.h.

References Ope_elementary::s_two_minus.

double Ope_elementary::val_sh_two_plus ( ) const [inline, inherited]

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

Definition at line 224 of file ope_elementary.h.

References Ope_elementary::s_two_plus.

double Ope_elementary::val_sp_minus ( ) const [inline, inherited]

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

Definition at line 241 of file ope_elementary.h.

References Ope_elementary::sp_minus.

double Ope_elementary::val_sp_plus ( ) const [inline, inherited]

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

Definition at line 245 of file ope_elementary.h.

References Ope_elementary::sp_plus.

Member Data Documentation

double Ope_elementary::alpha [protected, inherited]

Parameter $\alpha$ of the associated mapping.

Definition at line 104 of file ope_elementary.h.

int Ope_elementary::base_r [protected, inherited]

Radial basis of decomposition.

Definition at line 103 of file ope_elementary.h.

double Ope_elementary::beta [protected, inherited]

Parameter $\beta$ of the associated mapping.

Definition at line 105 of file ope_elementary.h.

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

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, inherited]

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, inherited]

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, inherited]

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, inherited]

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, inherited]

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

Definition at line 173 of file ope_elementary.h.

int Ope_poisson::dzpuis [protected, inherited]

the associated dzpuis, if in the compactified domain.

Definition at line 325 of file ope_elementary.h.

int Ope_poisson::l_quant [protected, inherited]

quantum number

Definition at line 324 of file ope_elementary.h.

Matrice* Ope_elementary::non_dege [mutable, protected, inherited]

Pointer on the non-degenerated matrix of the operator.

Definition at line 118 of file ope_elementary.h.

int Ope_elementary::nr [protected, inherited]

Number of radial points.

Definition at line 102 of file ope_elementary.h.

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

Pointer on the banded-matrix of the operator.

Definition at line 114 of file ope_elementary.h.

Matrice* Ope_elementary::ope_mat [mutable, protected, inherited]

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, inherited]

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, inherited]

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, inherited]

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, inherited]

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, inherited]

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, inherited]

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_pois_tens_rr Class Reference

Public Member Functions

Protected Attributes

Private Member Functions

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation