Superconvergence of finite element method for the Signorini problem

doi:10.1016/j.cam.2007.10.058

	Superconvergence of finite element method for the Signorini problem
	Li, Ming-xia 1; Lin, Qun1 ; Zhang, Shu-hua 2
	2008-12-15
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	222 期号:2 页码:284-292
摘要	In this paper, we study the superconvergence of the frictionless Signorini problem. When approximated by bilinear finite elements, by virtue of the information on the contact zone, we can derive a superconvergence rate of O(h(3/2)) under a proper regularity assumption. Finally, a numerical test is given to verify our result. (c) 2007 Elsevier B.V. All rights reserved.
关键词	Finite element The Signorini problem Superconvergenence
DOI	10.1016/j.cam.2007.10.058
语种	英语
资助项目	National Basic Research Program of China[2005CB32 1701] ; Special funds for major state basic research project[2007CB8149] ; National Natural Science Foundalion of China[10471103] ; National Natural Science Foundalion of China[10771158] ; Social Science Foundation of the Ministry of Education of China[06JA630047] ; Tianjin Natural Science Foundation[07JCYBJC14300]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000261019800005
出版者	ELSEVIER SCIENCE 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/5806
专题	计算数学与科学工程计算研究所
通讯作者	Li, Ming-xia
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Tianjin Univ Finance & Econ, Dept Math, Tianjin 300222, Peoples R China
推荐引用方式 GB/T 7714	Li, Ming-xia,Lin, Qun,Zhang, Shu-hua. Superconvergence of finite element method for the Signorini problem[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2008,222(2):284-292.
APA	Li, Ming-xia,Lin, Qun,&Zhang, Shu-hua.(2008).Superconvergence of finite element method for the Signorini problem.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,222(2),284-292.
MLA	Li, Ming-xia,et al."Superconvergence of finite element method for the Signorini problem".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 222.2(2008):284-292.