Two lower order nonconforming rectangular elements for the reissner-mindlin plate

	Two lower order nonconforming rectangular elements for the reissner-mindlin plate
	Hu, Jun ; Shi, Zhong-Ci
	2007
发表期刊	MATHEMATICS OF COMPUTATION
ISSN	0025-5718
卷号	76 期号:260 页码:1771-1786
摘要	In this paper, we propose two lower order nonconforming rectangular elements for the Reissner-Mindlin plate. The first one uses the conforming bilinear element to approximate both components of the rotation, and the modified nonconforming rotated Q(1) element to approximate the displacement, whereas the second one uses the modified nonconforming rotated Q1 element to approximate both the rotation and the displacement. Both elements employ a projection operator to overcome the shear force locking. We prove that both methods converge at optimal rates uniformly in the plate thickness t in both the H-1- and L-2- norms, and consequently they are locking free.
关键词	Reissner-Mindlin plate bilinear element rotated Q(1) element bubble function locking-free
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000249415700004
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4211
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.Chinese Acad Sci, Inst Computat Math, Beijing 100080, 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. Two lower order nonconforming rectangular elements for the reissner-mindlin plate[J]. MATHEMATICS OF COMPUTATION,2007,76(260):1771-1786.
APA	Hu, Jun,&Shi, Zhong-Ci.(2007).Two lower order nonconforming rectangular elements for the reissner-mindlin plate.MATHEMATICS OF COMPUTATION,76(260),1771-1786.
MLA	Hu, Jun,et al."Two lower order nonconforming rectangular elements for the reissner-mindlin plate".MATHEMATICS OF COMPUTATION 76.260(2007):1771-1786.