Error Estimates and Superconvergence of Mixed Finite Element Methods for Convex Optimal Control Problems

doi:10.1007/s10915-009-9327-8

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	Error Estimates and Superconvergence of Mixed Finite Element Methods for Convex Optimal Control Problems
	Chen, Yanping 1; Huang, Yunqing 2; Liu, Wenbin 3; Yan, Ningning 4
	2010-03-01
发表期刊	JOURNAL OF SCIENTIFIC COMPUTING
ISSN	0885-7474
卷号	42 期号:3 页码:382-403
摘要	In this paper, we investigate the discretization of general convex optimal control problem using the mixed finite element method. The state and co-state are discretized by the lowest order Raviart-Thomas element and the control is approximated by piecewise constant functions. We derive error estimates for both the control and the state approximation. Moreover, we present the superconvergence analysis for mixed finite element approximation of the optimal control problem. Finally, some numerical examples are given to demonstrate the practical side of the theoretical results about superconvergence.
关键词	Optimal control problem Mixed finite element Error estimates Superconvergence
DOI	10.1007/s10915-009-9327-8
语种	英语
资助项目	Foundation for Talent Introduction of Guangdong Province Universit ; Guangdong Province Universities and Colleges Pearl River Scholar Funded Scheme (2008) ; National Science Foundation of China[10625106] ; National Science Foundation of China[60474027] ; National Basic Research Program[2005CB321703] ; National Basic Research Program of China[2005CB321701] ; Special Funds for Major State Basic Research[G2000067102]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000274096900002
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/11122
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, Yanping
作者单位	1.S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China 2.Xiangtan Univ, Sch Math & Computat Sci, Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Hunan, Peoples R China 3.Univ Kent, KBS & IMS, Canterbury CT2 7NF, Kent, England 4.Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, Yanping,Huang, Yunqing,Liu, Wenbin,et al. Error Estimates and Superconvergence of Mixed Finite Element Methods for Convex Optimal Control Problems[J]. JOURNAL OF SCIENTIFIC COMPUTING,2010,42(3):382-403.
APA	Chen, Yanping,Huang, Yunqing,Liu, Wenbin,&Yan, Ningning.(2010).Error Estimates and Superconvergence of Mixed Finite Element Methods for Convex Optimal Control Problems.JOURNAL OF SCIENTIFIC COMPUTING,42(3),382-403.
MLA	Chen, Yanping,et al."Error Estimates and Superconvergence of Mixed Finite Element Methods for Convex Optimal Control Problems".JOURNAL OF SCIENTIFIC COMPUTING 42.3(2010):382-403.