Localizations and parallelizations for two-scale finite element discretizations

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	Localizations and parallelizations for two-scale finite element discretizations
	Liu, Fang ; Zhou, Alhul
	2007-09-01
发表期刊	COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
ISSN	1534-0392
卷号	6 期号:3 页码:757-773
摘要	Some local and parallel algorithms for two-scale finite element discretizations 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 boundary value problems, low frequency components can be approximated well by a relatively coarse grid and high frequency components can be computed on partially fine grids by some local procedure. A theoretical tool for analyzing these algorithms is some recent local error estimates for finite element approximations.
关键词	finite element localization parallelization tensor product two-scale discretization
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000246796900010
出版者	AMER INST MATHEMATICAL SCIENCES
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4304
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Fang
作者单位	1.Cent Univ Finance & Econ, Sch Appl Math, Beijing 100081, Peoples R China 2.Chinese Acad Sci, LSEC, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Liu, Fang,Zhou, Alhul. Localizations and parallelizations for two-scale finite element discretizations[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,2007,6(3):757-773.
APA	Liu, Fang,&Zhou, Alhul.(2007).Localizations and parallelizations for two-scale finite element discretizations.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,6(3),757-773.
MLA	Liu, Fang,et al."Localizations and parallelizations for two-scale finite element discretizations".COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 6.3(2007):757-773.