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A NEW FINITE ELEMENT APPROXIMATION OF A STATE-CONSTRAINED OPTIMAL CONTROL PROBLEM

文献类型：期刊论文

作者Liu, Wenbin1,2; Gong, Wei3; Yan, Ningning3
刊名JOURNAL OF COMPUTATIONAL MATHEMATICS
出版日期2009
卷号27期号:1页码:97-114
关键词Optimal control problem State-constraints Fourth order variational inequalities Nonconforming finite element method
ISSN号0254-9409
英文摘要In this paper, we study numerical methods for an optimal control problem with point-wise state constraints. The traditional approaches often need to deal with the delta-singularity in the dual equation, which causes many difficulties in its theoretical analysis and numerical approximation, In our new approach we reformulate the state-constrained optimal control as a constrained minimization problems only involving the state, whose optimality condition is characterized by a fourth order elliptic variational inequality. Then direct numerical algorithms (non conforming finite element approximation) are proposed for the inequality, and error estimates of the finite element approximation are derived. Numerical experiments illustrate the effectiveness of the new approach.
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:000263626900005
出版者VSP BV
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/7139]  
专题计算数学与科学工程计算研究所
系统科学研究所
通讯作者Liu, Wenbin
作者单位1.Univ Kent, KBS, Canterbury CT2 7NF, Kent, England
2.Univ Kent, Inst Math & Stat, Canterbury CT2 7NF, Kent, England
3.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Inst Syst Sci, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Liu, Wenbin,Gong, Wei,Yan, Ningning. A NEW FINITE ELEMENT APPROXIMATION OF A STATE-CONSTRAINED OPTIMAL CONTROL PROBLEM[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2009,27(1):97-114.
APA Liu, Wenbin,Gong, Wei,&Yan, Ningning.(2009).A NEW FINITE ELEMENT APPROXIMATION OF A STATE-CONSTRAINED OPTIMAL CONTROL PROBLEM.JOURNAL OF COMPUTATIONAL MATHEMATICS,27(1),97-114.
MLA Liu, Wenbin,et al."A NEW FINITE ELEMENT APPROXIMATION OF A STATE-CONSTRAINED OPTIMAL CONTROL PROBLEM".JOURNAL OF COMPUTATIONAL MATHEMATICS 27.1(2009):97-114.

入库方式： OAI收割

来源：数学与系统科学研究院

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