Robust error estimates for the finite element approximation of elliptic optimal control problems

doi:10.1016/j.cam.2011.09.001

	Robust error estimates for the finite element approximation of elliptic optimal control problems
	Gong, Wei1 ; Yan, Ningning 2
	2011-10-15
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	236 期号:6 页码:1370-1381
摘要	In this paper, we consider the finite element approximation of an elliptic optimal control problem. Based on an assumption on the adjoint state of the continuous problem with a small parameter, which represents a regularization of the bang-bang type control problem, we derive robust a priori error estimates for optimal control and state and a posteriori error estimate is also presented. Numerical experiments confirm our theoretical results. (C) 2011 Elsevier B.V. All rights reserved.
关键词	Optimal control problem Bang-bang control Finite element method A priori error estimate A posteriori error estimate
DOI	10.1016/j.cam.2011.09.001
语种	英语
资助项目	National Natural Science Foundation of China[10771211] ; National Basic Research Program[2010CB731505]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000298271800026
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/12402
专题	计算数学与科学工程计算研究所
通讯作者	Gong, Wei
作者单位	1.Chinese Acad Sci, LSEC, Inst Computat Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.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	Gong, Wei,Yan, Ningning. Robust error estimates for the finite element approximation of elliptic optimal control problems[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2011,236(6):1370-1381.
APA	Gong, Wei,&Yan, Ningning.(2011).Robust error estimates for the finite element approximation of elliptic optimal control problems.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,236(6),1370-1381.
MLA	Gong, Wei,et al."Robust error estimates for the finite element approximation of elliptic optimal control problems".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 236.6(2011):1370-1381.