Error analysis of quadrilateral Wilson element for Reissner-Mindlin plate

doi:10.1016/j.cma.2007.06.006

	Error analysis of quadrilateral Wilson element for Reissner-Mindlin plate
	Hu, Jun 1; Shi, Zhong-Ci2
	2008
发表期刊	COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
ISSN	0045-7825
卷号	197 期号:6-8 页码:464-475
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.
关键词	Reissner-Mindlin plate locking-free Wilson MITC4
DOI	10.1016/j.cma.2007.06.006
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:000251657100002
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/6107
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.