SolGMGPoisson.c File Reference

GMG method as an iterative solver for Poisson Problem. More...

#include <time.h>
#include <math.h>
#include "fasp.h"
#include "fasp_functs.h"
#include "PreGMG.inl"

Go to the source code of this file.

Functions
INT	fasp_poisson_gmg1d (REAL *u, REAL *b, const INT nx, const INT maxlevel, const REAL rtol, const SHORT prtlvl)
	Solve Ax=b of Poisson 1D equation by Geometric Multigrid Method. More...
INT	fasp_poisson_gmg2d (REAL *u, REAL *b, const INT nx, const INT ny, const INT maxlevel, const REAL rtol, const SHORT prtlvl)
	Solve Ax=b of Poisson 2D equation by Geometric Multigrid Method. More...
INT	fasp_poisson_gmg3d (REAL *u, REAL *b, const INT nx, const INT ny, const INT nz, const INT maxlevel, const REAL rtol, const SHORT prtlvl)
	Solve Ax=b of Poisson 3D equation by Geometric Multigrid Method. More...
void	fasp_poisson_fgmg1d (REAL *u, REAL *b, const INT nx, const INT maxlevel, const REAL rtol, const SHORT prtlvl)
	Solve Ax=b of Poisson 1D equation by Geometric Multigrid Method (FMG) More...
void	fasp_poisson_fgmg2d (REAL *u, REAL *b, const INT nx, const INT ny, const INT maxlevel, const REAL rtol, const SHORT prtlvl)
	Solve Ax=b of Poisson 2D equation by Geometric Multigrid Method (FMG) More...
void	fasp_poisson_fgmg3d (REAL *u, REAL *b, const INT nx, const INT ny, const INT nz, const INT maxlevel, const REAL rtol, const SHORT prtlvl)
	Solve Ax=b of Poisson 3D equation by Geometric Multigrid Method (FMG) More...
INT	fasp_poisson_gmgcg1d (REAL *u, REAL *b, const INT nx, const INT maxlevel, const REAL rtol, const SHORT prtlvl)
	Solve Ax=b of Poisson 1D equation by Geometric Multigrid Method (GMG preconditioned Conjugate Gradient method) More...
INT	fasp_poisson_gmgcg2d (REAL *u, REAL *b, const INT nx, const INT ny, const INT maxlevel, const REAL rtol, const SHORT prtlvl)
	Solve Ax=b of Poisson 2D equation by Geometric Multigrid Method (GMG preconditioned Conjugate Gradient method) More...
INT	fasp_poisson_gmgcg3d (REAL *u, REAL *b, const INT nx, const INT ny, const INT nz, const INT maxlevel, const REAL rtol, const SHORT prtlvl)
	Solve Ax=b of Poisson 3D equation by Geometric Multigrid Method (GMG preconditioned Conjugate Gradient method) More...

Detailed Description

GMG method as an iterative solver for Poisson Problem.

Note

This file contains Level-5 (Sol) functions. It requires: AuxArray.c, AuxMessage.c, and AuxTiming.c

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Copyright (C) 2009–Present by the FASP team. All rights reserved.

Released under the terms of the GNU Lesser General Public License 3.0 or later.

Definition in file SolGMGPoisson.c.

Function Documentation

fasp_poisson_fgmg1d()

void fasp_poisson_fgmg1d	(	REAL *	u,
		REAL *	b,
		const INT	nx,
		const INT	maxlevel,
		const REAL	rtol,
		const SHORT	prtlvl
	)

Solve Ax=b of Poisson 1D equation by Geometric Multigrid Method (FMG)

Parameters

u	Pointer to the vector of dofs
b	Pointer to the vector of right hand side
nx	Number of grids in x direction
maxlevel	Maximum levels of the multigrid
rtol	Relative tolerance to judge convergence
prtlvl	Print level for output

Author

Ziteng Wang, Chensong Zhang

Date

06/07/2013

Definition at line 442 of file SolGMGPoisson.c.

fasp_poisson_fgmg2d()

void fasp_poisson_fgmg2d	(	REAL *	u,
		REAL *	b,
		const INT	nx,
		const INT	ny,
		const INT	maxlevel,
		const REAL	rtol,
		const SHORT	prtlvl
	)

Solve Ax=b of Poisson 2D equation by Geometric Multigrid Method (FMG)

Parameters

u	Pointer to the vector of dofs
b	Pointer to the vector of right hand side
nx	Number of grids in x direction
ny	Number of grids in Y direction
maxlevel	Maximum levels of the multigrid
rtol	Relative tolerance to judge convergence
prtlvl	Print level for output

Author

Ziteng Wang, Chensong Zhang

Date

06/07/2013

Definition at line 536 of file SolGMGPoisson.c.

fasp_poisson_fgmg3d()

void fasp_poisson_fgmg3d	(	REAL *	u,
		REAL *	b,
		const INT	nx,
		const INT	ny,
		const INT	nz,
		const INT	maxlevel,
		const REAL	rtol,
		const SHORT	prtlvl
	)

Solve Ax=b of Poisson 3D equation by Geometric Multigrid Method (FMG)

Parameters

u	Pointer to the vector of dofs
b	Pointer to the vector of right hand side
nx	Number of grids in x direction
ny	NUmber of grids in y direction
nz	NUmber of grids in z direction
maxlevel	Maximum levels of the multigrid
rtol	Relative tolerance to judge convergence
prtlvl	Print level for output

Author

Ziteng Wang, Chensong Zhang

Date

06/07/2013

Definition at line 644 of file SolGMGPoisson.c.

fasp_poisson_gmg1d()

INT fasp_poisson_gmg1d	(	REAL *	u,
		REAL *	b,
		const INT	nx,
		const INT	maxlevel,
		const REAL	rtol,
		const SHORT	prtlvl
	)

Solve Ax=b of Poisson 1D equation by Geometric Multigrid Method.

Parameters

u	Pointer to the vector of dofs
b	Pointer to the vector of right hand side
nx	Number of grids in x direction
maxlevel	Maximum levels of the multigrid
rtol	Relative tolerance to judge convergence
prtlvl	Print level for output

Returns

Iteration number if converges; ERROR otherwise.

Author

Ziteng Wang, Chensong Zhang

Date

06/07/2013

Definition at line 48 of file SolGMGPoisson.c.

fasp_poisson_gmg2d()

INT fasp_poisson_gmg2d	(	REAL *	u,
		REAL *	b,
		const INT	nx,
		const INT	ny,
		const INT	maxlevel,
		const REAL	rtol,
		const SHORT	prtlvl
	)

Solve Ax=b of Poisson 2D equation by Geometric Multigrid Method.

Parameters

u	Pointer to the vector of dofs
b	Pointer to the vector of right hand side
nx	Number of grids in x direction
ny	Number of grids in y direction
maxlevel	Maximum levels of the multigrid
rtol	Relative tolerance to judge convergence
prtlvl	Print level for output

Returns

Iteration number if converges; ERROR otherwise.

Author

Ziteng Wang, Chensong Zhang

Date

06/07/2013

Definition at line 172 of file SolGMGPoisson.c.

fasp_poisson_gmg3d()

INT fasp_poisson_gmg3d	(	REAL *	u,
		REAL *	b,
		const INT	nx,
		const INT	ny,
		const INT	nz,
		const INT	maxlevel,
		const REAL	rtol,
		const SHORT	prtlvl
	)

Solve Ax=b of Poisson 3D equation by Geometric Multigrid Method.

Parameters

u	Pointer to the vector of dofs
b	Pointer to the vector of right hand side
nx	Number of grids in x direction
ny	Number of grids in y direction
nz	Number of grids in z direction
maxlevel	Maximum levels of the multigrid
rtol	Relative tolerance to judge convergence
prtlvl	Print level for output

Returns

Iteration number if converges; ERROR otherwise.

Author

Ziteng Wang, Chensong Zhang

Date

06/07/2013

Definition at line 308 of file SolGMGPoisson.c.

fasp_poisson_gmgcg1d()

INT fasp_poisson_gmgcg1d	(	REAL *	u,
		REAL *	b,
		const INT	nx,
		const INT	maxlevel,
		const REAL	rtol,
		const SHORT	prtlvl
	)

Solve Ax=b of Poisson 1D equation by Geometric Multigrid Method (GMG preconditioned Conjugate Gradient method)

Parameters

u	Pointer to the vector of dofs
b	Pointer to the vector of right hand side
nx	Number of grids in x direction
maxlevel	Maximum levels of the multigrid
rtol	Relative tolerance to judge convergence
prtlvl	Print level for output

Returns

Iteration number if converges; ERROR otherwise.

Author

Ziteng Wang, Chensong Zhang

Date

06/07/2013

Definition at line 754 of file SolGMGPoisson.c.

fasp_poisson_gmgcg2d()

INT fasp_poisson_gmgcg2d	(	REAL *	u,
		REAL *	b,
		const INT	nx,
		const INT	ny,
		const INT	maxlevel,
		const REAL	rtol,
		const SHORT	prtlvl
	)

Solve Ax=b of Poisson 2D equation by Geometric Multigrid Method (GMG preconditioned Conjugate Gradient method)

Parameters

u	Pointer to the vector of dofs
b	Pointer to the vector of right hand side
nx	Number of grids in x direction
ny	Number of grids in y direction
maxlevel	Maximum levels of the multigrid
rtol	Relative tolerance to judge convergence
prtlvl	Print level for output

Returns

Iteration number if converges; ERROR otherwise.

Author

Ziteng Wang, Chensong Zhang

Date

06/07/2013

Definition at line 849 of file SolGMGPoisson.c.

fasp_poisson_gmgcg3d()

INT fasp_poisson_gmgcg3d	(	REAL *	u,
		REAL *	b,
		const INT	nx,
		const INT	ny,
		const INT	nz,
		const INT	maxlevel,
		const REAL	rtol,
		const SHORT	prtlvl
	)

Solve Ax=b of Poisson 3D equation by Geometric Multigrid Method (GMG preconditioned Conjugate Gradient method)

Parameters

u	Pointer to the vector of dofs
b	Pointer to the vector of right hand side
nx	Number of grids in x direction
ny	Number of grids in y direction
nz	Number of grids in z direction
maxlevel	Maximum levels of the multigrid
rtol	Relative tolerance to judge convergence
prtlvl	Print level for output

Returns

Iteration number if converges; ERROR otherwise.

Author

Ziteng Wang, Chensong Zhang

Date

06/07/2013

Definition at line 959 of file SolGMGPoisson.c.