Adaptive finite element algorithms for eigenvalue problems based on local averaging type a posteriori error estimates

doi:10.1007/s10444-004-7617-0

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	Adaptive finite element algorithms for eigenvalue problems based on local averaging type a posteriori error estimates
	Mao, D ; Shen, LH ; Zhou, AH
	2006-07-01
发表期刊	ADVANCES IN COMPUTATIONAL MATHEMATICS
ISSN	1019-7168
卷号	25 期号:1-3 页码:135-160
摘要	The local averaging technique has become a popular tool in adaptive finite element methods for solving partial differential boundary value problems since it provides efficient a posteriori error estimates by a simple postprocessing. In this paper, the technique is introduced to solve a class of symmetric eigenvalue problems. Its efficiency and reliability are proved by both the theory and numerical experiments structured meshes as well as irregular meshes.
关键词	a posteriori error estimate adaptive algorithm eigenvalue finite element local averaging
DOI	10.1007/s10444-004-7617-0
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000238665700009
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3738
专题	中国科学院数学与系统科学研究院
作者单位	1.Syracuse Univ, Dept Math, Syracuse, NY 13244 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Mao, D,Shen, LH,Zhou, AH. Adaptive finite element algorithms for eigenvalue problems based on local averaging type a posteriori error estimates[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2006,25(1-3):135-160.
APA	Mao, D,Shen, LH,&Zhou, AH.(2006).Adaptive finite element algorithms for eigenvalue problems based on local averaging type a posteriori error estimates.ADVANCES IN COMPUTATIONAL MATHEMATICS,25(1-3),135-160.
MLA	Mao, D,et al."Adaptive finite element algorithms for eigenvalue problems based on local averaging type a posteriori error estimates".ADVANCES IN COMPUTATIONAL MATHEMATICS 25.1-3(2006):135-160.