A posteriori error estimates for discontinuous galerkin time-stepping method for optimal control problems governed by parabolic equations

doi:10.1137/S0036142902397090

科研成果详情

发表状态	已发表Published
题名	A posteriori error estimates for discontinuous galerkin time-stepping method for optimal control problems governed by parabolic equations
作者	Liu, Wenbin 1,2; Ma, Heping 3; Tang, Tao4 ; Yan, Ningning 5
发表日期	2004
发表期刊	SIAM Journal on Numerical Analysis
ISSN/eISSN	0036-1429
卷号	42 期号:3 页码:1032-1061
摘要	In this paper, we examine the discontinuous Galerkin (DG) finite element approximation to convex distributed optimal control problems governed by linear parabolic equations, where the discontinuous finite element method is used for the time discretization and the conforming finite element method is used for the space discretization. We derive a posteriori error estimates for both the state and the control approximation, assuming only that the underlying mesh in space is nondegenerate. For problems with control constraints of obstacle type, which are the kind most frequently met in applications, further improved error estimates are obtained. © 2004 Society for Industrial and Applied Mathematics.
关键词	A posteriori error analysis Discontinuous galerkin method Finite element approximation Optimal control
DOI	10.1137/S0036142902397090
URL	查看来源
收录类别	SCIE
语种	英语English
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000225887500008
引用统计	被引频次：61[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://repository.uic.edu.cn/handle/39GCC9TT/2044
专题	个人在本单位外知识产出
通讯作者	Liu, Wenbin
作者单位	1.Department of Mathematics, Xiangtan University, China 2.CBS, Institute of Mathematics and Statistics, University of Kent, Canterbury, CT2 7NF, United Kingdom 3.Department of Mathematics, Shanghai University, Shanghai 200436, China 4.Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong 5.Institute of System Sciences, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, China
推荐引用方式 GB/T 7714	Liu, Wenbin,Ma, Heping,Tang, Taoet al. A posteriori error estimates for discontinuous galerkin time-stepping method for optimal control problems governed by parabolic equations[J]. SIAM Journal on Numerical Analysis, 2004, 42(3): 1032-1061.
APA	Liu, Wenbin, Ma, Heping, Tang, Tao, & Yan, Ningning. (2004). A posteriori error estimates for discontinuous galerkin time-stepping method for optimal control problems governed by parabolic equations. SIAM Journal on Numerical Analysis, 42(3), 1032-1061.
MLA	Liu, Wenbin,et al."A posteriori error estimates for discontinuous galerkin time-stepping method for optimal control problems governed by parabolic equations". SIAM Journal on Numerical Analysis 42.3(2004): 1032-1061.