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Error analysis of quadrilateral Wilson element for Reissner-Mindlin plate

文献类型：期刊论文

作者Hu, Jun1; Shi, Zhong-Ci2
刊名COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
出版日期2008
卷号197期号:6-8页码:464-475
关键词Reissner-Mindlin plate locking-free Wilson MITC4
ISSN号0045-7825
DOI10.1016/j.cma.2007.06.006
英文摘要In this paper, we generalize the rectangular nonconforming Wilson element method proposed in [Z. Zhang, S. Zhang, Wilson element for the Reissner-Mindlin plate,Comput. Methods Appl. Mech. Engrg. 113 (1994) 55-65) for the Reissner-Mindlin plate problem to the general quadrilateral mesh and analyze the error. It is proved that this method converges at uniformly optimal rates with respect to both the energy and L(2) norms. These estimates improve those of [Z. Zhang, S. Zhang, Wilson element for the Reissner-Mindlin plate, Comput. Methods Appl. Mech. Engrg. 113 (1994) 55-65] in the sense that the requirement of H(3)(ohm) regularity on the solution is dropped, and that the L(2) error estimate of this scheme is analyzed. The numerical examples at the end of this paper demonstrate the superiority of this method over the MITC4 [K.J. Bathe, E. Dvorkin, A four-node plate bending element based on Mindlin-Reissner plate theory and a mixed interpolation, Int. J. Numer. Methods Engrg. 21 (1985) 367-383]. (c) 2007 Elsevier B.V. All rights reserved.
WOS研究方向Engineering ; Mathematics ; Mechanics
语种英语
WOS记录号WOS:000251657100002
出版者ELSEVIER SCIENCE SA
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/6106]  
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, Sch Math Sci, LMAM, Beijing 100871, Peoples R China
2.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. Error analysis of quadrilateral Wilson element for Reissner-Mindlin plate[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2008,197(6-8):464-475.
APA Hu, Jun,&Shi, Zhong-Ci.(2008).Error analysis of quadrilateral Wilson element for Reissner-Mindlin plate.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,197(6-8),464-475.
MLA Hu, Jun,et al."Error analysis of quadrilateral Wilson element for Reissner-Mindlin plate".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 197.6-8(2008):464-475.

入库方式： OAI收割

来源：数学与系统科学研究院

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