Convergence and quasi-optimal complexity of adaptive finite element computations for multiple eigenvalues

doi:10.1093/imanum/dru059

	Convergence and quasi-optimal complexity of adaptive finite element computations for multiple eigenvalues
	Dai, Xiaoying; He, Lianhua; Zhou, Aihui
	2015-10-01
发表期刊	IMA JOURNAL OF NUMERICAL ANALYSIS
ISSN	0272-4979
卷号	35 期号:4 页码:1934-1977
摘要	In this paper, we study an adaptive finite element for multiple eigenvalues of second order elliptic partial differential equations. We obtain both the asymptotic contraction property and asymptotic quasi-optimal complexity of the adaptive finite element approximations, which are extensions of the existing relevant results for simple eigenvalues.
关键词	adaptive finite element a posteriori error estimator convergence rate complexity multiple eigenvalue
DOI	10.1093/imanum/dru059
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000362826000017
出版者	OXFORD UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21014
专题	计算数学与科学工程计算研究所
通讯作者	Dai, Xiaoying
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Dai, Xiaoying,He, Lianhua,Zhou, Aihui. Convergence and quasi-optimal complexity of adaptive finite element computations for multiple eigenvalues[J]. IMA JOURNAL OF NUMERICAL ANALYSIS,2015,35(4):1934-1977.
APA	Dai, Xiaoying,He, Lianhua,&Zhou, Aihui.(2015).Convergence and quasi-optimal complexity of adaptive finite element computations for multiple eigenvalues.IMA JOURNAL OF NUMERICAL ANALYSIS,35(4),1934-1977.
MLA	Dai, Xiaoying,et al."Convergence and quasi-optimal complexity of adaptive finite element computations for multiple eigenvalues".IMA JOURNAL OF NUMERICAL ANALYSIS 35.4(2015):1934-1977.