Mixed finite elements of least-squares type for elasticity

doi:10.1016/j.cma.2004.06.033

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	Mixed finite elements of least-squares type for elasticity
	Duan, HY ; Lin, Q
	2005
发表期刊	COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
ISSN	0045-7825
卷号	194 期号:9-11 页码:1093-1112
摘要	In terms of stress and displacement. the linear elasticity problem is discretized by a least-squares finite element method. In the case of a convex polygonal domain. the stress is approximated by the lowest-order Raviart Thomas-Nedelec flux element, and the displacement by the linear C-0 element. We obtain coerciveness and optimal H-1, L-2 and H(div)-error bounds. uniform in Lam constant lambda.. for displacement and stress. respectively. Our method also allows the use of any other combination of conforming elements for stress and displacement. e.g.. C-0 elements for all variables. (C) 2004 Elsevier B.V. All rights reserved.
关键词	elasticity stress-displacement least-squares method
DOI	10.1016/j.cma.2004.06.033
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:000226931600010
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/1646
专题	中国科学院数学与系统科学研究院
通讯作者	Duan, HY
作者单位	1.Natl Univ Singapore, Dept Math, Singapore 117543, Singapore 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Duan, HY,Lin, Q. Mixed finite elements of least-squares type for elasticity[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2005,194(9-11):1093-1112.
APA	Duan, HY,&Lin, Q.(2005).Mixed finite elements of least-squares type for elasticity.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,194(9-11),1093-1112.
MLA	Duan, HY,et al."Mixed finite elements of least-squares type for elasticity".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 194.9-11(2005):1093-1112.