Local and parallel finite element algorithms based on two-grid discretizations

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	Local and parallel finite element algorithms based on two-grid discretizations
	Xu, JC ; Zhou, AH
	2000-07-01
发表期刊	MATHEMATICS OF COMPUTATION
ISSN	0025-5718
卷号	69 期号:231 页码:881-909
摘要	A number of new local acid parallel discretization and adaptive finite element algorithms are proposed and analyzed in this paper for elliptic boundary value problems. These algorithms are motivated by the observation that, for a solution to some elliptic problems, low frequency components can be approximated well by a relatively coarse grid and high frequency components can be computed on a fine grid by some local and parallel procedure. The theoretical tools for analyzing these methods are some local a priori and a posteriori estimates that are also obtained in this paper for finite element solutions on general shape-regular grids. Some numerical experiments are also presented to support the theory.
关键词	adaptive finite elements local a priori and a posteriori error estimates nonsymmetric parallel algorithm two-grid method
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000087661200001
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15208
专题	中国科学院数学与系统科学研究院
通讯作者	Xu, JC
作者单位	1.Penn State Univ, Dept Math, Ctr Computat Math & Applicat, University Pk, PA 16802 USA 2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Xu, JC,Zhou, AH. Local and parallel finite element algorithms based on two-grid discretizations[J]. MATHEMATICS OF COMPUTATION,2000,69(231):881-909.
APA	Xu, JC,&Zhou, AH.(2000).Local and parallel finite element algorithms based on two-grid discretizations.MATHEMATICS OF COMPUTATION,69(231),881-909.
MLA	Xu, JC,et al."Local and parallel finite element algorithms based on two-grid discretizations".MATHEMATICS OF COMPUTATION 69.231(2000):881-909.