A priori and a posteriori error analysis of edge stabilization Galerkin method for the optimal control problem governed by convection-dominated diffusion equation

doi:10.1016/j.cam.2008.01.006

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	A priori and a posteriori error analysis of edge stabilization Galerkin method for the optimal control problem governed by convection-dominated diffusion equation
	Yan, Ningning; Zhou, Zhaojie
	2009
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	223 期号:1 页码:198-217
摘要	In this paper, we study an edge-stabilization Galerkin approximation sheme for the constrained optimal-control problem governed by convection-dominated diffusion equation. The method uses least-square stabilization of the gradient jumps across element edges. A priori and a posteriori error estimates are derived for both the state co-state and the control. The theoretical results are illustrated by two numerical experiment. (C) Elsevier B.V. All rights reserved.
关键词	Constrained optimal-control problem Convection-dominated diffusion equation Edge-stabilization Galerkin method A priori error estimate A posteriori error estimate
DOI	10.1016/j.cam.2008.01.006
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000261041100016
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8007
专题	中国科学院数学与系统科学研究院
通讯作者	Zhou, Zhaojie
作者单位	Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 10080, Peoples R China
推荐引用方式 GB/T 7714	Yan, Ningning,Zhou, Zhaojie. A priori and a posteriori error analysis of edge stabilization Galerkin method for the optimal control problem governed by convection-dominated diffusion equation[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2009,223(1):198-217.
APA	Yan, Ningning,&Zhou, Zhaojie.(2009).A priori and a posteriori error analysis of edge stabilization Galerkin method for the optimal control problem governed by convection-dominated diffusion equation.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,223(1),198-217.
MLA	Yan, Ningning,et al."A priori and a posteriori error analysis of edge stabilization Galerkin method for the optimal control problem governed by convection-dominated diffusion equation".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 223.1(2009):198-217.