The nonconforming finite element method for Signorini problem

	The nonconforming finite element method for Signorini problem
	Hua, Dongying ; Wang, Lieheng
刊名	JOURNAL OF COMPUTATIONAL MATHEMATICS
	2007
卷号	25 期号:1 页码:67-80
关键词	nonconforming finite element method Signorini problem convergence rate
ISSN号	0254-9409
英文摘要	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.
WOS研究方向	Mathematics
语种	英语
出版者	VSP BV
WOS记录号	WOS:000243393300006
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/4037]
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.