LOCAL MULTILEVEL METHODS FOR ADAPTIVE FINITE ELEMENT METHODS FOR NONSYMMETRIC AND INDEFINITE ELLIPTIC BOUNDARY VALUE PROBLEMS

doi:10.1137/090755849

	LOCAL MULTILEVEL METHODS FOR ADAPTIVE FINITE ELEMENT METHODS FOR NONSYMMETRIC AND INDEFINITE ELLIPTIC BOUNDARY VALUE PROBLEMS
	Chen, Huangxin; Xu, Xuejun
	2010
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
卷号	47 期号:6 页码:4492-4516
摘要	In this paper, we propose some local multilevel algorithms for solving linear systems arising from adaptive finite element approximations of nonsymmetric and indefinite elliptic boundary value problems. Two types of local smoothers are constructed. One is based on the original nonsymmetric problems, and the other is defined in terms of the associated symmetric problems. It is shown that the local multilevel methods for the nonsymmetric and indefinite elliptic boundary value problems are optimal, which means that the convergence rates of the local multilevel methods are independent of mesh sizes and mesh levels provided that the coarsest grid is sufficiently fine. Numerical experiments are reported to confirm our theory.
关键词	multilevel methods local smoothers adaptive finite element methods nonsymmetric and indefinite optimality
DOI	10.1137/090755849
语种	英语
资助项目	special funds for major state basic research projects (973)[2005CB321701] ; National Science Foundation (NSF) of China[10731060]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000277836100021
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10407
专题	计算数学与科学工程计算研究所
通讯作者	Chen, Huangxin
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Chen, Huangxin,Xu, Xuejun. LOCAL MULTILEVEL METHODS FOR ADAPTIVE FINITE ELEMENT METHODS FOR NONSYMMETRIC AND INDEFINITE ELLIPTIC BOUNDARY VALUE PROBLEMS[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2010,47(6):4492-4516.
APA	Chen, Huangxin,&Xu, Xuejun.(2010).LOCAL MULTILEVEL METHODS FOR ADAPTIVE FINITE ELEMENT METHODS FOR NONSYMMETRIC AND INDEFINITE ELLIPTIC BOUNDARY VALUE PROBLEMS.SIAM JOURNAL ON NUMERICAL ANALYSIS,47(6),4492-4516.
MLA	Chen, Huangxin,et al."LOCAL MULTILEVEL METHODS FOR ADAPTIVE FINITE ELEMENT METHODS FOR NONSYMMETRIC AND INDEFINITE ELLIPTIC BOUNDARY VALUE PROBLEMS".SIAM JOURNAL ON NUMERICAL ANALYSIS 47.6(2010):4492-4516.