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

doi:10.1093/imanum/dru059

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	Convergence and quasi-optimal complexity of adaptive finite element computations for multiple eigenvalues
	Dai, Xiaoying; He, Lianhua; Zhou, Aihui
刊名	IMA JOURNAL OF NUMERICAL ANALYSIS
	2015-10-01
卷号	35 期号:4 页码:1934-1977
关键词	adaptive finite element a posteriori error estimator convergence rate complexity multiple eigenvalue
ISSN号	0272-4979
DOI	10.1093/imanum/dru059
英文摘要	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.
WOS研究方向	Mathematics
语种	英语
出版者	OXFORD UNIV PRESS
WOS记录号	WOS:000362826000017
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/21013]
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.