Two new variants of nonlinear inexact Uzawa algorithms for saddle-point problems

doi:10.1007/s002110100386

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	Two new variants of nonlinear inexact Uzawa algorithms for saddle-point problems
	Hu, QY ; Zou, J
	2002-12-01
发表期刊	NUMERISCHE MATHEMATIK
ISSN	0029-599X
卷号	93 期号:2 页码:333-359
摘要	In this paper, we consider some nonlinear inexact Uzawa methods for iteratively solving linear saddle-point problems. By means of a new technique, we first give an essential improvement on the convergence results of Bramble-Paschiak-Vassilev for a known nonlinear inexact Uzawa algorithm. Then we propose two new algorithms, which can be viewed as a combination of the known nonlinear inexact Uzawa method with the classical steepest descent method and conjugate gradient method respectively. The two new algorithms converge under very practical conditions and do not require any apriori estimates on the minimal and maximal eigenvalues of the preconditioned systems involved, including the preconditioned Schur complement. Numerical results of the algorithms applied for the Stokes problem and a purely linear system of algebraic equations are presented to show the efficiency of the algorithms.
DOI	10.1007/s002110100386
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000180034100006
出版者	SPRINGER-VERLAG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17424
专题	中国科学院数学与系统科学研究院
通讯作者	Hu, QY
作者单位	1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 2.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Hu, QY,Zou, J. Two new variants of nonlinear inexact Uzawa algorithms for saddle-point problems[J]. NUMERISCHE MATHEMATIK,2002,93(2):333-359.
APA	Hu, QY,&Zou, J.(2002).Two new variants of nonlinear inexact Uzawa algorithms for saddle-point problems.NUMERISCHE MATHEMATIK,93(2),333-359.
MLA	Hu, QY,et al."Two new variants of nonlinear inexact Uzawa algorithms for saddle-point problems".NUMERISCHE MATHEMATIK 93.2(2002):333-359.