PreMGRecurAMLI.c File Reference

Abstract AMLI multilevel iteration – recursive version. More...

#include <math.h>
#include <time.h>
#include "fasp.h"
#include "fasp_functs.h"
#include "PreMGRecurAMLI.inl"
#include "PreMGSmoother.inl"
#include "PreMGUtil.inl"

Go to the source code of this file.

Functions
void	fasp_solver_amli (AMG_data *mgl, AMG_param *param, INT l)
	Solve Ax=b with recursive AMLI-cycle. More...
void	fasp_solver_namli (AMG_data *mgl, AMG_param *param, INT l, INT num_levels)
	Solve Ax=b with recursive nonlinear AMLI-cycle. More...
void	fasp_solver_namli_bsr (AMG_data_bsr *mgl, AMG_param *param, INT l, INT num_levels)
	Solve Ax=b with recursive nonlinear AMLI-cycle. More...
void	fasp_amg_amli_coef (const REAL lambda_max, const REAL lambda_min, const INT degree, REAL *coef)
	Compute the coefficients of the polynomial used by AMLI-cycle. More...

Detailed Description

Abstract AMLI multilevel iteration – recursive version.

Note

This file contains Level-4 (Pre) functions. It requires: AuxArray.c, AuxMemory.c, AuxMessage.c, AuxParam.c, AuxVector.c, BlaSchwarzSetup.c, BlaArray.c, BlaSpmvBSR.c, BlaSpmvCSR.c, ItrSmootherBSR.c, ItrSmootherCSR.c, ItrSmootherCSRpoly.c, KryPcg.c, KryPvfgmres.c, KrySPcg.c, KrySPvgmres.c, PreBSR.c, and PreCSR.c

This file includes both AMLI and non-linear AMLI cycles

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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 PreMGRecurAMLI.c.

Function Documentation

fasp_amg_amli_coef()

void fasp_amg_amli_coef	(	const REAL	lambda_max,
		const REAL	lambda_min,
		const INT	degree,
		REAL *	coef
	)

Compute the coefficients of the polynomial used by AMLI-cycle.

Parameters

lambda_max	Maximal lambda
lambda_min	Minimal lambda
degree	Degree of polynomial approximation
coef	Coefficient of AMLI (output)

Author

Xiaozhe Hu

Date

01/23/2011

Definition at line 791 of file PreMGRecurAMLI.c.

fasp_solver_amli()

void fasp_solver_amli	(	AMG_data *	mgl,
		AMG_param *	param,
		INT	l
	)

Solve Ax=b with recursive AMLI-cycle.

Parameters

mgl	Pointer to AMG data: AMG_data
param	Pointer to AMG parameters: AMG_param
l	Current level

Author

Xiaozhe Hu

Date

01/23/2011

Note

AMLI polynomial computed by the best approximation of 1/x. Refer to Johannes K. Kraus, Panayot S. Vassilevski, Ludmil T. Zikatanov, "Polynomial of best uniform approximation to $x^{-1}$ and smoothing in two-level methods", 2013.

Modified by Chensong Zhang on 02/27/2013: update direct solvers. Modified by Zheng Li on 11/10/2014: update direct solvers. Modified by Hongxuan Zhang on 12/15/2015: update direct solvers.

Definition at line 58 of file PreMGRecurAMLI.c.

fasp_solver_namli()

void fasp_solver_namli	(	AMG_data *	mgl,
		AMG_param *	param,
		INT	l,
		INT	num_levels
	)

Solve Ax=b with recursive nonlinear AMLI-cycle.

Parameters

mgl	Pointer to AMG_data data
param	Pointer to AMG parameters
l	Current level
num_levels	Total number of levels

Author

Xiaozhe Hu

Date

04/06/2010

Note

Refer to Xiazhe Hu, Panayot S. Vassilevski, Jinchao Xu "Comparative Convergence Analysis of Nonlinear AMLI-cycle Multigrid", 2013.

Modified by Chensong Zhang on 02/27/2013: update direct solvers. Modified by Zheng Li on 11/10/2014: update direct solvers. Modified by Hongxuan Zhang on 12/15/2015: update direct solvers.

Definition at line 291 of file PreMGRecurAMLI.c.

fasp_solver_namli_bsr()

void fasp_solver_namli_bsr	(	AMG_data_bsr *	mgl,
		AMG_param *	param,
		INT	l,
		INT	num_levels
	)

Solve Ax=b with recursive nonlinear AMLI-cycle.

Parameters

mgl	Pointer to AMG data: AMG_data
param	Pointer to AMG parameters: AMG_param
l	Current level
num_levels	Total number of levels

Author

Xiaozhe Hu

Date

04/06/2010

Note

Nonlinear AMLI-cycle. Refer to Xiazhe Hu, Panayot S. Vassilevski, Jinchao Xu "Comparative Convergence Analysis of Nonlinear AMLI-cycle Multigrid", 2013.

Modified by Chensong Zhang on 02/27/2013: update direct solvers. Modified by Hongxuan Zhang on 12/15/2015: update direct solvers. Modified by Li Zhao on 05/01/2023: update direct solvers and smoothers.

该函数内部生成了对角块的逆, zhaoli, 2023.05.01

该函数直接使用对角块的逆(在setup阶段生成), zhaoli, 2023.05.01

该函数内部生成了对角块的逆, zhaoli, 2023.05.01

该函数直接使用对角块的逆(在setup阶段生成), zhaoli, 2023.05.01

Definition at line 528 of file PreMGRecurAMLI.c.