A quadrilateral nonconforming finite element for linear elasticity problem

doi:10.1007/s10444-006-9017-0

	A quadrilateral nonconforming finite element for linear elasticity problem
	Mao, Shipeng; Chen, Shaochun
	2008
发表期刊	ADVANCES IN COMPUTATIONAL MATHEMATICS
ISSN	1019-7168
卷号	28 期号:1 页码:81-100
摘要	In this paper, a four-parameter quadrilateral nonconforming finite element with DSP (double set parameters) is presented. Then we discuss the quadrilateral nonconforming finite element approximation to the linear elastic equations with pure displacement boundary. The optimal convergence rate of the method is established in the broken H-1 energy and L-2- norms, and in particular, the convergence is uniform with respect to the Lame parameter lambda. Also the performance of the scheme does not deteriorate as the material becomes nearly incompressible. Lastly, a numerical test is carried out, which coincides with our theoretical analysis.
关键词	quadrilateral nonconforming element double set parameters locking-free linear elasticity
DOI	10.1007/s10444-006-9017-0
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000251140600005
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5692
专题	计算数学与科学工程计算研究所
通讯作者	Mao, Shipeng
作者单位	1.Chinese Acad Sci, Inst Computat Math, Beijing 100080, Peoples R China 2.Zhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R China
推荐引用方式 GB/T 7714	Mao, Shipeng,Chen, Shaochun. A quadrilateral nonconforming finite element for linear elasticity problem[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2008,28(1):81-100.
APA	Mao, Shipeng,&Chen, Shaochun.(2008).A quadrilateral nonconforming finite element for linear elasticity problem.ADVANCES IN COMPUTATIONAL MATHEMATICS,28(1),81-100.
MLA	Mao, Shipeng,et al."A quadrilateral nonconforming finite element for linear elasticity problem".ADVANCES IN COMPUTATIONAL MATHEMATICS 28.1(2008):81-100.