A Priori and A Posteriori Error Estimates of Streamline Diffusion Finite Element Method for Optimal Control Problem Governed by Convection Dominated Diffusion Equation

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	A Priori and A Posteriori Error Estimates of Streamline Diffusion Finite Element Method for Optimal Control Problem Governed by Convection Dominated Diffusion Equation
	Yan, Ningning; Zhou, Zhaojie
	2008-08-01
发表期刊	NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
ISSN	1004-8979
卷号	1 期号:3 页码:297-320
摘要	In this paper, we investigate a streamline diffusion finite element approximation scheme for the constrained optimal control problem governed by linear convection dominated diffusion equations. We prove the existence and uniqueness of the discretized scheme. Then a priori and a posteriori error estimates are derived for the state, the co-state and the control. Three numerical examples are presented to illustrate our theoretical results.
关键词	Constrained optimal control problem convection dominated diffusion equation streamline diffusion finite element method a priori error estimate a posteriori error estimate
语种	英语
资助项目	National Basic Research Program[2005CB321701] ; National Natural Science Foundation of China[60474027] ; National Natural Science Foundation of China[10771211]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000207474000003
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5360
专题	中国科学院数学与系统科学研究院
通讯作者	Yan, Ningning
作者单位	Chinese Acad Sci, LSEC, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yan, Ningning,Zhou, Zhaojie. A Priori and A Posteriori Error Estimates of Streamline Diffusion Finite Element Method for Optimal Control Problem Governed by Convection Dominated Diffusion Equation[J]. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,2008,1(3):297-320.
APA	Yan, Ningning,&Zhou, Zhaojie.(2008).A Priori and A Posteriori Error Estimates of Streamline Diffusion Finite Element Method for Optimal Control Problem Governed by Convection Dominated Diffusion Equation.NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,1(3),297-320.
MLA	Yan, Ningning,et al."A Priori and A Posteriori Error Estimates of Streamline Diffusion Finite Element Method for Optimal Control Problem Governed by Convection Dominated Diffusion Equation".NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS 1.3(2008):297-320.