VARIATIONAL DISCRETIZATION FOR OPTIMAL CONTROL GOVERNED BY CONVECTION DOMINATED DIFFUSION EQUATIONS

CSpace > 系统科学研究所

	VARIATIONAL DISCRETIZATION FOR OPTIMAL CONTROL GOVERNED BY CONVECTION DOMINATED DIFFUSION EQUATIONS
	Hinze, Michael 1; Yan, Ningning2 ; Zhou, Zhaojie 2
	2009-03-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	27 期号:2-3 页码:237-253
摘要	In this paper, we study variational discretization for the constrained optimal control problem governed by convection dominated diffusion equations, where the state equation is approximated by the edge stabilization Galerkin method. A priori error estimates are derived for the state, the adjoint state and the control. Moreover, residual type a posteriori error estimates in the L(2)-norm are obtained. Finally, two numerical experiments are presented to illustrate the theoretical results.
关键词	Constrained optimal control problem Convection dominated diffusion equation Edge stabilization Galerkin method Variational discretization A priori error estimate A posteriori error estimate
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000265073400008
出版者	VSP 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/7343
专题	系统科学研究所
通讯作者	Hinze, Michael
作者单位	1.Univ Hamburg, Dept Math, Hamburg, Germany 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	Hinze, Michael,Yan, Ningning,Zhou, Zhaojie. VARIATIONAL DISCRETIZATION FOR OPTIMAL CONTROL GOVERNED BY CONVECTION DOMINATED DIFFUSION EQUATIONS[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2009,27(2-3):237-253.
APA	Hinze, Michael,Yan, Ningning,&Zhou, Zhaojie.(2009).VARIATIONAL DISCRETIZATION FOR OPTIMAL CONTROL GOVERNED BY CONVECTION DOMINATED DIFFUSION EQUATIONS.JOURNAL OF COMPUTATIONAL MATHEMATICS,27(2-3),237-253.
MLA	Hinze, Michael,et al."VARIATIONAL DISCRETIZATION FOR OPTIMAL CONTROL GOVERNED BY CONVECTION DOMINATED DIFFUSION EQUATIONS".JOURNAL OF COMPUTATIONAL MATHEMATICS 27.2-3(2009):237-253.