A posteriori error estimators of gradient recovery type for FEM of a model optimal control problem

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	A posteriori error estimators of gradient recovery type for FEM of a model optimal control problem
	Yan, NN
	2003-07-01
发表期刊	ADVANCES IN COMPUTATIONAL MATHEMATICS
ISSN	1019-7168
卷号	19 期号:1-3 页码:323-336
摘要	In this paper, we derive an a posteriori error estimator of gradient recovery type for a model optimal control problem. We show that the a posteriori error estimator is equivalent to the discretization error in a norm of energy type on general meshes. Furthermore, when the solution of the control problem is smooth and the meshes are uniform, it is shown to be asymptotically exact.
关键词	optimal control problem finite element approximation a posteriori error estimator gradient recovery superconvergence
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000181690000017
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/18867
专题	系统科学研究所
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst 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 FEM of a model optimal control problem[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2003,19(1-3):323-336.
APA	Yan, NN.(2003).A posteriori error estimators of gradient recovery type for FEM of a model optimal control problem.ADVANCES IN COMPUTATIONAL MATHEMATICS,19(1-3),323-336.
MLA	Yan, NN."A posteriori error estimators of gradient recovery type for FEM of a model optimal control problem".ADVANCES IN COMPUTATIONAL MATHEMATICS 19.1-3(2003):323-336.