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

doi:10.1137/S0036142902397090

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	A posteriori error estimates for discontinuous Galerkin time-stepping method for optimal control problems governed by parabolic equations
	Liu, WB ; Ma, HP ; Tang, T ; Yan, NN
	2004
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	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.
关键词	optimal control a posteriori error analysis finite element approximation discontinuous Galerkin method
DOI	10.1137/S0036142902397090
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000225887500008
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19571
专题	系统科学研究所
通讯作者	Liu, WB
作者单位	1.Xiangtan Univ, Dept Math, Xiangtan 411100, Peoples R China 2.Univ Kent, Inst Math & Stat, Canterbury CT2 7NF, Kent, England 3.Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China 4.Hong Kong Baptist univ, Dept Math, Kowloon Tong, Hong Kong, Peoples R China 5.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Liu, WB,Ma, HP,Tang, T,et 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, WB,Ma, HP,Tang, T,&Yan, NN.(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, WB,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.