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A Mixed Finite Element Scheme for Optimal Control Problems with Pointwise State Constraints

文献类型：期刊论文

作者Gong, Wei1; Yan, Ningning2
刊名JOURNAL OF SCIENTIFIC COMPUTING
出版日期2011-02-01
卷号46期号:2页码:182-203
关键词Optimal control problems State constraints Mixed variational scheme Finite element method
ISSN号0885-7474
DOI10.1007/s10915-010-9392-z
英文摘要In this paper, we propose a mixed variational scheme for optimal control problems with point-wise state constraints, the main idea is to reformulate the optimal control problems to a constrained minimization problem involving only the state, which is characterized by a fourth order variational inequality. Then mixed form based on this fourth order variational inequality is formulated and a direct numerical algorithm is proposed without the optimality conditions of underlying optimal control problems. The a priori and a posteriori error estimates are proved for the mixed finite element scheme. Numerical experiments confirm the efficiency of the new strategy.
资助项目National Natural Science Foundation of China[10771211] ; National Basic Research Program[2005CB321701] ; National Basic Research Program[2010CB731505]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000286004700003
出版者SPRINGER/PLENUM PUBLISHERS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/12776]  
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, Inst Computat Math, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Gong, Wei,Yan, Ningning. A Mixed Finite Element Scheme for Optimal Control Problems with Pointwise State Constraints[J]. JOURNAL OF SCIENTIFIC COMPUTING,2011,46(2):182-203.
APA Gong, Wei,&Yan, Ningning.(2011).A Mixed Finite Element Scheme for Optimal Control Problems with Pointwise State Constraints.JOURNAL OF SCIENTIFIC COMPUTING,46(2),182-203.
MLA Gong, Wei,et al."A Mixed Finite Element Scheme for Optimal Control Problems with Pointwise State Constraints".JOURNAL OF SCIENTIFIC COMPUTING 46.2(2011):182-203.

入库方式： OAI收割

来源：数学与系统科学研究院

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