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LOWER ORDER RECTANGULAR NONCONFORMING MIXED FINITE ELEMENTS FOR PLANE ELASTICITY

文献类型：期刊论文

作者Hu, Jun1,2; Shi, Zhong-Ci3
刊名SIAM JOURNAL ON NUMERICAL ANALYSIS
出版日期2007
卷号46期号:1页码:88-102
关键词mixed method nonconforming finite element elasticity rectangular
ISSN号0036-1429
DOI10.1137/060669681
英文摘要In this paper, we present two stable rectangular nonconforming mixed finite element methods for the equations of linear elasticity in two space dimensions which produce direct approximations for the stress and displacement. In the first method, the normal stress space of the matrix-valued stress space is taken as the second order rotated Brezzi-Douglas-Fortin-Marini element space [F. Brezzi and M. Fortin, Mixed and Hybrid Finite Element Methods, Springer-Verlag, New York, 1991], the enriched nonconforming rotated Q(1) element [Q. Lin, L. Tobiska, and A. H. Zhou, IMA J. Numer. Anal., 25 (2005), pp. 160-181] is taken for the shear stress, and the lowest order Raviart-Thomas element space [P. A. Raviart and J. M. Thomas, in Mathematical Aspects of the Finite Element Method, Lecture Notes in Math. 606, Springer-Verlag, New York, 1977, pp. 292-315] is employed to approximate the vector displacement field. The second method is obtained from the first one through dropping the interior degrees of the normal stress on each element. A first order convergence rate is obtained for both the stress and the displacement for these methods based on the superconvergence of the enriched nonconforming rotated Q(1) element.
资助项目NSFC[10601003] ; Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry ; Foundation for the Author of National Excellent Doctoral Dissertation of the People's Republic of China[200718]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000208043800004
出版者SIAM PUBLICATIONS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/4149]  
专题计算数学与科学工程计算研究所
通讯作者Hu, Jun
作者单位1.Peking Univ, LMAM, Beijing 100871, Peoples R China
2.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
3.Chinese Acad Sci, Inst Computat Math, Beijing 100080, Peoples R China
推荐引用方式
GB/T 7714		 Hu, Jun,Shi, Zhong-Ci. LOWER ORDER RECTANGULAR NONCONFORMING MIXED FINITE ELEMENTS FOR PLANE ELASTICITY[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2007,46(1):88-102.
APA Hu, Jun,&Shi, Zhong-Ci.(2007).LOWER ORDER RECTANGULAR NONCONFORMING MIXED FINITE ELEMENTS FOR PLANE ELASTICITY.SIAM JOURNAL ON NUMERICAL ANALYSIS,46(1),88-102.
MLA Hu, Jun,et al."LOWER ORDER RECTANGULAR NONCONFORMING MIXED FINITE ELEMENTS FOR PLANE ELASTICITY".SIAM JOURNAL ON NUMERICAL ANALYSIS 46.1(2007):88-102.

入库方式： OAI收割

来源：数学与系统科学研究院

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