LOWER ORDER RECTANGULAR NONCONFORMING MIXED FINITE ELEMENT FOR THE THREE-DIMENSIONAL ELASTICITY PROBLEM

	LOWER ORDER RECTANGULAR NONCONFORMING MIXED FINITE ELEMENT FOR THE THREE-DIMENSIONAL ELASTICITY PROBLEM
	Man, Hong-Ying 1; Hu, Jun 2,3; Shi, Zhong-Ci4
	2009
发表期刊	MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
ISSN	0218-2025
卷号	19 期号:1 页码:51-65
摘要	In this paper, we propose a first-order rectangular nonconforming element for the stress-displacement system derived from the Hellinger-Reissner variational principle for the three-dimensional elasticity problem. We show that the discrete inf-sup condition holds for this scheme. Based on some superconvergence of the consistency error, we prove the optimal error estimate of O(h) for both the displacement and stress.
关键词	Elasticity mixed method nonconforming finite element
语种	英语
资助项目	NSFC[10626005] ; NSFC[10601003] ; A Foundation[200718] ; Scientific Research Foundation for the Returned Overseas Chinese Scholars ; State Education Ministry ; National Basic Research Program of China[2005CB321701]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000262616500003
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8435
专题	计算数学与科学工程计算研究所
通讯作者	Man, Hong-Ying
作者单位	1.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China 2.Peking Univ, LMAM, Beijing 100871, Peoples R China 3.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 4.Chinese Acad Sci, LSEC, ICMSEC, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Man, Hong-Ying,Hu, Jun,Shi, Zhong-Ci. LOWER ORDER RECTANGULAR NONCONFORMING MIXED FINITE ELEMENT FOR THE THREE-DIMENSIONAL ELASTICITY PROBLEM[J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES,2009,19(1):51-65.
APA	Man, Hong-Ying,Hu, Jun,&Shi, Zhong-Ci.(2009).LOWER ORDER RECTANGULAR NONCONFORMING MIXED FINITE ELEMENT FOR THE THREE-DIMENSIONAL ELASTICITY PROBLEM.MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES,19(1),51-65.
MLA	Man, Hong-Ying,et al."LOWER ORDER RECTANGULAR NONCONFORMING MIXED FINITE ELEMENT FOR THE THREE-DIMENSIONAL ELASTICITY PROBLEM".MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 19.1(2009):51-65.