FINITE ELEMENT METHOD AND ITS ERROR ESTIMATES FOR THE TIME OPTIMAL CONTROLS OF HEAT EQUATION

	FINITE ELEMENT METHOD AND ITS ERROR ESTIMATES FOR THE TIME OPTIMAL CONTROLS OF HEAT EQUATION
	Gong, Wei1 ; Yan, Ningning2
	2016
发表期刊	INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
ISSN	1705-5105
卷号	13 期号:2 页码:265-279
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.
关键词	Time optimal control problems finite element method error estimates
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000373023200007
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/22381
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.