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MIXED FINITE ELEMENT METHOD FOR DIRICHLET BOUNDARY CONTROL PROBLEM GOVERNED BY ELLIPTIC PDES

文献类型：期刊论文

作者Gong, Wei1; Yan, Ningning2
刊名SIAM JOURNAL ON CONTROL AND OPTIMIZATION
出版日期2011
卷号49期号:3页码:984-1014
关键词optimal control problem Dirichlet boundary control mixed finite element a priori error estimate
ISSN号0363-0129
DOI10.1137/100795632
英文摘要In this paper we study the finite element approximation of Dirichlet boundary control problems governed by elliptic PDEs. Based on a mixed variational scheme, we establish a mixed finite element approximation to the underlying optimal control problem. We consider the optimal control problems posed on both polygonal and general smooth domains, and we derive a priori error estimates for optimal control, state, and adjoint state. The optimal and quasi-optimal error estimates are obtained for problems on polygonal and smooth domains, respectively. Numerical experiments are provided to confirm our theoretical results.
资助项目National Nature Science Foundation[10771211] ; National Basic Research Program[2005CB321701] ; National Basic Research Program[2010CB731505]
WOS研究方向Automation & Control Systems ; Mathematics
语种英语
WOS记录号WOS:000291870400004
出版者SIAM PUBLICATIONS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/11357]  
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, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, LSEC, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Gong, Wei,Yan, Ningning. MIXED FINITE ELEMENT METHOD FOR DIRICHLET BOUNDARY CONTROL PROBLEM GOVERNED BY ELLIPTIC PDES[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION,2011,49(3):984-1014.
APA Gong, Wei,&Yan, Ningning.(2011).MIXED FINITE ELEMENT METHOD FOR DIRICHLET BOUNDARY CONTROL PROBLEM GOVERNED BY ELLIPTIC PDES.SIAM JOURNAL ON CONTROL AND OPTIMIZATION,49(3),984-1014.
MLA Gong, Wei,et al."MIXED FINITE ELEMENT METHOD FOR DIRICHLET BOUNDARY CONTROL PROBLEM GOVERNED BY ELLIPTIC PDES".SIAM JOURNAL ON CONTROL AND OPTIMIZATION 49.3(2011):984-1014.

入库方式： OAI收割

来源：数学与系统科学研究院

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