中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
FINITE ELEMENT METHOD AND ITS ERROR ESTIMATES FOR THE TIME OPTIMAL CONTROLS OF HEAT EQUATION

文献类型:期刊论文

作者Gong, Wei1; Yan, Ningning2
刊名INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
出版日期2016
卷号13期号:2页码:265-279
关键词Time optimal control problems finite element method error estimates
ISSN号1705-5105
英文摘要In this paper, we discuss the time optimal control problems governed by heat equation. The variational discretization concept is introduced for the approximation of the control, and the semi-discrete finite element method is applied for the controlled heat equation. We prove optimal a priori error estimate for the optimal time T, and quasi-optimal estimates for the optimal control u, the related state y and adjoint state p.
资助项目National Basic Research Program of China[2012CB821204] ; National Natural Science Foundation of China[11201464] ; National Natural Science Foundation of China[91330115] ; National Natural Science Foundation of China[11171337]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000373023200007
出版者ISCI-INST SCIENTIFIC COMPUTING & INFORMATION
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/22380]  
专题计算数学与科学工程计算研究所
通讯作者Gong, Wei; Yan, Ningning
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, NCMIS,LSEC, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714
Gong, Wei,Yan, Ningning. FINITE ELEMENT METHOD AND ITS ERROR ESTIMATES FOR THE TIME OPTIMAL CONTROLS OF HEAT EQUATION[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2016,13(2):265-279.
APA Gong, Wei,&Yan, Ningning.(2016).FINITE ELEMENT METHOD AND ITS ERROR ESTIMATES FOR THE TIME OPTIMAL CONTROLS OF HEAT EQUATION.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,13(2),265-279.
MLA Gong, Wei,et al."FINITE ELEMENT METHOD AND ITS ERROR ESTIMATES FOR THE TIME OPTIMAL CONTROLS OF HEAT EQUATION".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 13.2(2016):265-279.

入库方式: OAI收割

来源:数学与系统科学研究院

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