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

文献类型：期刊论文

作者Yan, Ningning; Zhou, Zhaojie
刊名FRONTIERS OF MATHEMATICS IN CHINA
出版日期2008-09-01
卷号3期号:3页码:415-442
关键词Constrained optimal control problem convection dominated diffusion equation edge stabilization Galerkin method a posteriori error estimate
ISSN号1673-3452
DOI10.1007/s11464-008-0029-6
英文摘要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.
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
语种英语
WOS记录号WOS:000270334100007
出版者HIGHER EDUCATION PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/6874]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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