The nonconforming finite element method for Signorini problem

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	The nonconforming finite element method for Signorini problem
	Hua, Dongying ; Wang, Lieheng
	2007
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	25 期号:1 页码:67-80
摘要	We present the Crouzeix-Raviaxt linear nonconforming finite element approximation of the variational inequality resulting from Signorini problem. We show if the displacement field is of H-2 regularity, then the convergence rate can be improved from O(h (3/4)) to quasi-optimal O(h vertical bar log h vertical bar (1/4)) with respect to the energy norm as that of the continuous linear finite element approximation. If stronger but reasonable regularity is available, the convergence rate can be improved to the optimal O(h) as expected by the linear approximation.
关键词	nonconforming finite element method Signorini problem convergence rate
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000243393300006
出版者	VSP BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4038
专题	中国科学院数学与系统科学研究院
通讯作者	Hua, Dongying
作者单位	1.Beijing Informat Technol Inst, Fundamental Dept 1, Beijing 100101, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEG, ICMSEC, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Hua, Dongying,Wang, Lieheng. The nonconforming finite element method for Signorini problem[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2007,25(1):67-80.
APA	Hua, Dongying,&Wang, Lieheng.(2007).The nonconforming finite element method for Signorini problem.JOURNAL OF COMPUTATIONAL MATHEMATICS,25(1),67-80.
MLA	Hua, Dongying,et al."The nonconforming finite element method for Signorini problem".JOURNAL OF COMPUTATIONAL MATHEMATICS 25.1(2007):67-80.