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THE LOCAL DISCONTINUOUS GALERKIN METHOD FOR OPTIMAL CONTROL PROBLEM GOVERNED BY CONVECTION DIFFUSION EQUATIONS
Zhou, Zhaojie1; Yan, Ningning2
2010
发表期刊INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
ISSN1705-5105
卷号7期号:4页码:681-699
摘要In this paper we analyze the Local Discontinuous Galerkin (LDG) method for the constrained optimal control problem governed by the unsteady convection diffusion equations. A priori error estimates are obtained for both the state, the adjoint state and the control. For the discretization of the control we discuss two different approaches which have been used for elliptic optimal control problem.
关键词Local Discontinuous Galerkin method unsteady convection diffusion equations constrained optimal control problem a priori error estimate
语种英语
资助项目National Nature Science Foundation[10771211] ; National Basic Research Program[2005CB321701] ; National Basic Research Program[2010CB731505]
WOS研究方向Mathematics
WOS类目Mathematics, Applied ; Mathematics
WOS记录号WOS:000277127400006
出版者ISCI-INST SCIENTIFIC COMPUTING & INFORMATION
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/9538
专题系统科学研究所
通讯作者Zhou, Zhaojie
作者单位1.Shandong Normal Univ, Coll Math Sci, Jinan 250014, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, LSEC, Beijing 100190, Peoples R China
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Zhou, Zhaojie,Yan, Ningning. THE LOCAL DISCONTINUOUS GALERKIN METHOD FOR OPTIMAL CONTROL PROBLEM GOVERNED BY CONVECTION DIFFUSION EQUATIONS[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2010,7(4):681-699.
APA Zhou, Zhaojie,&Yan, Ningning.(2010).THE LOCAL DISCONTINUOUS GALERKIN METHOD FOR OPTIMAL CONTROL PROBLEM GOVERNED BY CONVECTION DIFFUSION EQUATIONS.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,7(4),681-699.
MLA Zhou, Zhaojie,et al."THE LOCAL DISCONTINUOUS GALERKIN METHOD FOR OPTIMAL CONTROL PROBLEM GOVERNED BY CONVECTION DIFFUSION EQUATIONS".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 7.4(2010):681-699.
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