A RT Mixed FEM/DG Scheme for Optimal Control Governed by Convection Diffusion Equations

doi:10.1007/s10915-009-9297-x

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	A RT Mixed FEM/DG Scheme for Optimal Control Governed by Convection Diffusion Equations
	Yan, Ningning; Zhou, Zhaojie
	2009-11-01
发表期刊	JOURNAL OF SCIENTIFIC COMPUTING
ISSN	0885-7474
卷号	41 期号:2 页码:273-299
摘要	In this paper, we provide a numerical scheme-RT mixed FEM/DG scheme for the constrained optimal control problem governed by convection dominated diffusion equations. A priori and a posteriori error estimates are obtained for both the state, the co-state and the control. The adaptive mesh refinement can be applied indicated by a posteriori error estimator provided in this paper. Numerical examples are presented to illustrate the theoretical analysis.
关键词	Raviart-Thomas mixed FEM Discontinuous Galerkin method Convection dominated diffusion equations Constrained optimal control problem A priori error estimate A posteriori error estimate Adaptive finite element method
DOI	10.1007/s10915-009-9297-x
语种	英语
资助项目	National Basic Research Program[2005CB321701] ; National Natural Science Foundation of China[10771211]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000270670100006
出版者	SPRINGER/PLENUM PUBLISHERS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7890
专题	系统科学研究所
通讯作者	Zhou, Zhaojie
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yan, Ningning,Zhou, Zhaojie. A RT Mixed FEM/DG Scheme for Optimal Control Governed by Convection Diffusion Equations[J]. JOURNAL OF SCIENTIFIC COMPUTING,2009,41(2):273-299.
APA	Yan, Ningning,&Zhou, Zhaojie.(2009).A RT Mixed FEM/DG Scheme for Optimal Control Governed by Convection Diffusion Equations.JOURNAL OF SCIENTIFIC COMPUTING,41(2),273-299.
MLA	Yan, Ningning,et al."A RT Mixed FEM/DG Scheme for Optimal Control Governed by Convection Diffusion Equations".JOURNAL OF SCIENTIFIC COMPUTING 41.2(2009):273-299.