Preconditioned GMRES methods for discretization equation of nonsymmetric and indefinite elliptic problem

doi:10.1016/j.amc.2003.08.121

	Preconditioned GMRES methods for discretization equation of nonsymmetric and indefinite elliptic problem
	Zhang, S
	2004-11-05
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	158 期号:2 页码:307-317
摘要	In this paper, a class of preconditioners for GMRES method are proposed for solving linear systems arising from discretization second-order nonsymmetric and indefinite elliptic problems by finite element method. The convergence of GMRES method is verified and the rate of convergence is shown. The generality of our result enables us to apply not only any known preconditioners designed for symmetric positive definite problems, but also many other preconditioners based on original operator to nonsymmetric and indefinite problems without losing optimality. (C) 2003 Published by Elsevier Inc.
关键词	preconditioned GMRES method nonsymmetric and indefinite elliptic problem finite element method
DOI	10.1016/j.amc.2003.08.121
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000224594700002
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19224
专题	计算数学与科学工程计算研究所
通讯作者	Zhang, S
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Computing, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhang, S. Preconditioned GMRES methods for discretization equation of nonsymmetric and indefinite elliptic problem[J]. APPLIED MATHEMATICS AND COMPUTATION,2004,158(2):307-317.
APA	Zhang, S.(2004).Preconditioned GMRES methods for discretization equation of nonsymmetric and indefinite elliptic problem.APPLIED MATHEMATICS AND COMPUTATION,158(2),307-317.
MLA	Zhang, S."Preconditioned GMRES methods for discretization equation of nonsymmetric and indefinite elliptic problem".APPLIED MATHEMATICS AND COMPUTATION 158.2(2004):307-317.