Convergence and optimal complexity of adaptive finite element eigenvalue computations

doi:10.1007/s00211-008-0169-3

	Convergence and optimal complexity of adaptive finite element eigenvalue computations
	Dai, Xiaoying2,3 ; Xu, Jinchao 1; Zhou, Aihui2
	2008-09-01
发表期刊	NUMERISCHE MATHEMATIK
ISSN	0029-599X
卷号	110 期号:3 页码:313-355
摘要	In this paper, an adaptive finite element method for elliptic eigenvalue problems is studied. Both uniform convergence and optimal complexity of the adaptive finite element eigenvalue approximation are proved. The analysis is based on a certain relationship between the finite element eigenvalue approximation and the associated finite element boundary value approximation which is also established in the paper.
DOI	10.1007/s00211-008-0169-3
语种	英语
资助项目	National Science Foundation of China[10425105] ; National Basic Research Program[2005CB321704]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000258718600003
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/5831
专题	计算数学与科学工程计算研究所
通讯作者	Xu, Jinchao
作者单位	1.Penn State Univ, Dept Math, Ctr Computat Math & Applicat, University Pk, PA 16802 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Grad Univ, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Dai, Xiaoying,Xu, Jinchao,Zhou, Aihui. Convergence and optimal complexity of adaptive finite element eigenvalue computations[J]. NUMERISCHE MATHEMATIK,2008,110(3):313-355.
APA	Dai, Xiaoying,Xu, Jinchao,&Zhou, Aihui.(2008).Convergence and optimal complexity of adaptive finite element eigenvalue computations.NUMERISCHE MATHEMATIK,110(3),313-355.
MLA	Dai, Xiaoying,et al."Convergence and optimal complexity of adaptive finite element eigenvalue computations".NUMERISCHE MATHEMATIK 110.3(2008):313-355.