A posteriori error estimators of gradient recovery type for elliptic obstacle problems

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	A posteriori error estimators of gradient recovery type for elliptic obstacle problems
	Yan, NN
	2001
发表期刊	ADVANCES IN COMPUTATIONAL MATHEMATICS
ISSN	1019-7168
卷号	15 期号:1-4 页码:333-362
摘要	In this paper, we present a posteriori error estimates of gradient recovery type for elliptic obstacle problems. The a posteriori error estimates provide both lower and upper error bounds. It is shown to be equivalent to the discretization error in an energy type norm for general meshes. Furthermore, when the solution is smooth and the mesh is uniform, it is shown to be asymptotically exact. Some numerical results which demonstrate the theoretical results are also reported in this paper.
关键词	finite element approximation a posteriori error estimators obstacle problems gradient recovery superconvergence
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000174392100014
出版者	KLUWER ACADEMIC PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16232
专题	中国科学院数学与系统科学研究院
作者单位	Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Yan, NN. A posteriori error estimators of gradient recovery type for elliptic obstacle problems[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2001,15(1-4):333-362.
APA	Yan, NN.(2001).A posteriori error estimators of gradient recovery type for elliptic obstacle problems.ADVANCES IN COMPUTATIONAL MATHEMATICS,15(1-4),333-362.
MLA	Yan, NN."A posteriori error estimators of gradient recovery type for elliptic obstacle problems".ADVANCES IN COMPUTATIONAL MATHEMATICS 15.1-4(2001):333-362.