Error analysis on bi-parameter finite elements

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	Error analysis on bi-parameter finite elements
	Zhou, AH ; Liem, CB ; Shih, TM ; Lu, L
	1998-06-08
发表期刊	COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
ISSN	0045-7825
卷号	158 期号:3-4 页码:329-339
摘要	A bi-parameter finite element is introduced in this paper, in which a new local grid refinement technique is presented for a class of second-order elliptic equations. The new approach is based on a bi-parameter finite element space defined, respectively, on the whole domain with size H and on a subdomain with size h(h << H). The stability and convergence analysis of the bi-parameter finite element approximation is studied. The behavior of approximation with respect to the parameters H and h is presented. In particular, the error estimates for the finite element Green's function expressed by H and h are derived. (C) 1998 Elsevier Science S.A.
语种	英语
WOS研究方向	Engineering ; Mathematics ; Mechanics
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000074535200008
出版者	ELSEVIER SCIENCE SA
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/13776
专题	中国科学院数学与系统科学研究院
通讯作者	Zhou, AH
作者单位	1.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China 2.Hong Kong Polytech, Dept Appl Math, Hong Kong, Peoples R China 3.Acad Sinica, Inst Chengdu Comp Applicat, Chengdu, Peoples R China
推荐引用方式 GB/T 7714	Zhou, AH,Liem, CB,Shih, TM,et al. Error analysis on bi-parameter finite elements[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,1998,158(3-4):329-339.
APA	Zhou, AH,Liem, CB,Shih, TM,&Lu, L.(1998).Error analysis on bi-parameter finite elements.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,158(3-4),329-339.
MLA	Zhou, AH,et al."Error analysis on bi-parameter finite elements".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 158.3-4(1998):329-339.