A posteriori error estimates of constrained optimal control problem governed by convection diffusion equations

doi:10.1007/s11464-008-0029-6

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	A posteriori error estimates of constrained optimal control problem governed by convection diffusion equations
	Yan, Ningning; Zhou, Zhaojie
	2008-09-01
发表期刊	FRONTIERS OF MATHEMATICS IN CHINA
ISSN	1673-3452
卷号	3 期号:3 页码:415-442
摘要	In this paper, we study a posteriori error estimates of the edge stabilization Galerkin method for the constrained optimal control problem governed by convection-dominated diffusion equations. The residual-type a posteriori error estimators yield both upper and lower bounds for control u measured in L(2)-norm and for state y and costate p measured in energy norm. Two numerical examples are presented to illustrate the effectiveness of the error estimators provided in this paper.
关键词	Constrained optimal control problem convection dominated diffusion equation edge stabilization Galerkin method a posteriori error estimate
DOI	10.1007/s11464-008-0029-6
语种	英语
资助项目	National Natural Science Foundation of China[60474027] ; National Natural Science Foundation of China[10771211] ; National Basic Research Program[2005CB321701]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000270334100007
出版者	HIGHER EDUCATION PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6875
专题	系统科学研究所
通讯作者	Yan, Ningning
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, State Key Lab Sci & Engn Comp, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Yan, Ningning,Zhou, Zhaojie. A posteriori error estimates of constrained optimal control problem governed by convection diffusion equations[J]. FRONTIERS OF MATHEMATICS IN CHINA,2008,3(3):415-442.
APA	Yan, Ningning,&Zhou, Zhaojie.(2008).A posteriori error estimates of constrained optimal control problem governed by convection diffusion equations.FRONTIERS OF MATHEMATICS IN CHINA,3(3),415-442.
MLA	Yan, Ningning,et al."A posteriori error estimates of constrained optimal control problem governed by convection diffusion equations".FRONTIERS OF MATHEMATICS IN CHINA 3.3(2008):415-442.