SUPERCONVERGENCE ANALYSIS AND A POSTERIORI ERROR ESTIMATION OF A FINITE ELEMENT METHOD FOR AN OPTIMAL CONTROL PROBLEM GOVERNED BY INTEGRAL EQUATIONS

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	SUPERCONVERGENCE ANALYSIS AND A POSTERIORI ERROR ESTIMATION OF A FINITE ELEMENT METHOD FOR AN OPTIMAL CONTROL PROBLEM GOVERNED BY INTEGRAL EQUATIONS
	Yan, Ningning
	2009-06-01
发表期刊	APPLICATIONS OF MATHEMATICS
ISSN	0862-7940
卷号	54 期号:3 页码:267-283
摘要	In this paper, we discuss the numerical simulation for a class of constrained optimal control problems governed by integral equations. The Galerkin method is used for the approximation of the problem. A priori error estimates and a superconvergence analysis for the approximation scheme are presented. Based on the results of the superconvergence analysis, a recovery type a posteriori error estimator is provided, which can be used for adaptive mesh refinement.
关键词	optimal control integral equation Galerkin method superconvergence a posteriori error estimates
语种	英语
资助项目	National Basic Research Program[2005CB321701] ; National Natural Science Foundation of China[10771211]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000266945200007
出版者	ACAD SCIENCES CZECH REPUBLIC, INST MATHEMATICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7601
专题	中国科学院数学与系统科学研究院
通讯作者	Yan, Ningning
作者单位	Chinese Acad Sci, LSEC, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Yan, Ningning. SUPERCONVERGENCE ANALYSIS AND A POSTERIORI ERROR ESTIMATION OF A FINITE ELEMENT METHOD FOR AN OPTIMAL CONTROL PROBLEM GOVERNED BY INTEGRAL EQUATIONS[J]. APPLICATIONS OF MATHEMATICS,2009,54(3):267-283.
APA	Yan, Ningning.(2009).SUPERCONVERGENCE ANALYSIS AND A POSTERIORI ERROR ESTIMATION OF A FINITE ELEMENT METHOD FOR AN OPTIMAL CONTROL PROBLEM GOVERNED BY INTEGRAL EQUATIONS.APPLICATIONS OF MATHEMATICS,54(3),267-283.
MLA	Yan, Ningning."SUPERCONVERGENCE ANALYSIS AND A POSTERIORI ERROR ESTIMATION OF A FINITE ELEMENT METHOD FOR AN OPTIMAL CONTROL PROBLEM GOVERNED BY INTEGRAL EQUATIONS".APPLICATIONS OF MATHEMATICS 54.3(2009):267-283.