Residual type a posteriori error estimates for elliptic obstacle problems

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	Residual type a posteriori error estimates for elliptic obstacle problems
	Chen, ZM ; Nochetto, RH
	2000-02-01
发表期刊	NUMERISCHE MATHEMATIK
ISSN	0029-599X
卷号	84 期号:4 页码:527-548
摘要	A posteriori error estimators of residual type are derived for piecewise linear finite element approximations to elliptic obstacle problems. An instrumental ingredient is a new interpolation operator which requires minimal regularity, exhibits optimal approximation properties and preserves positivity. Both upper and lower bounds are proved and their optimality is explored with several examples. Sharp a priori bounds for the a posteriori estimators are given, and extensions of the results to double obstacle problems are briefly discussed.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000085704700001
出版者	SPRINGER VERLAG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15791
专题	中国科学院数学与系统科学研究院
通讯作者	Nochetto, RH
作者单位	1.Univ Maryland, Dept Math, College Pk, MD 20742 USA 2.Univ Maryland, Inst Phys Sci & Technol, College Pk, MD 20742 USA 3.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, ZM,Nochetto, RH. Residual type a posteriori error estimates for elliptic obstacle problems[J]. NUMERISCHE MATHEMATIK,2000,84(4):527-548.
APA	Chen, ZM,&Nochetto, RH.(2000).Residual type a posteriori error estimates for elliptic obstacle problems.NUMERISCHE MATHEMATIK,84(4),527-548.
MLA	Chen, ZM,et al."Residual type a posteriori error estimates for elliptic obstacle problems".NUMERISCHE MATHEMATIK 84.4(2000):527-548.