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

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	Local and parallel finite element algorithms based on two-grid discretizations for nonlinear problems
	Xu, JC ; Zhou, AH
	2001-05-01
发表期刊	ADVANCES IN COMPUTATIONAL MATHEMATICS
ISSN	1019-7168
卷号	14 期号:4 页码:293-327
摘要	In this paper, some local and parallel discretizations and adaptive finite element algorithms are proposed and analyzed for nonlinear elliptic boundary value problems in both two and three dimensions. The main technique is to use a standard finite element discretization on a coarse grid to approximate low frequencies and then to apply some linearized discretization on a fine grid to correct the resulted residual (which contains mostly high frequencies) by some local/parallel procedures. The theoretical tools for analyzing these methods are some local a priori and a posteriori error estimates for finite element solutions on general shape-regular grids that are also obtained in this paper.
关键词	adaptive finite elements local a priori and a posteriori error estimates nonlinear 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:000172539800001
出版者	KLUWER ACADEMIC PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16843
专题	中国科学院数学与系统科学研究院
作者单位	1.Penn State Univ, Ctr Computat Math & Applicat, University Pk, PA 16802 USA 2.Penn State Univ, Dept Math, University Pk, PA 16802 USA 3.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & 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 for nonlinear problems[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2001,14(4):293-327.
APA	Xu, JC,&Zhou, AH.(2001).Local and parallel finite element algorithms based on two-grid discretizations for nonlinear problems.ADVANCES IN COMPUTATIONAL MATHEMATICS,14(4),293-327.
MLA	Xu, JC,et al."Local and parallel finite element algorithms based on two-grid discretizations for nonlinear problems".ADVANCES IN COMPUTATIONAL MATHEMATICS 14.4(2001):293-327.