Global superconvergence for optimal control problems governed by Stokes equations

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	Global superconvergence for optimal control problems governed by Stokes equations
	Liu, Huipo ; Yan, Ningning
	2006
发表期刊	INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
ISSN	1705-5105
卷号	3 期号:3 页码:283-302
摘要	In this paper, the global superconvergence analysis for the finite element approximation of the distributed optimal control governed by Stokes equations is discussed. For the control, a global superconvergence result is derived by applying patch recovery technique. For the state and the co-state, the global superconvergence results are derived by applying some postprocessing techniques for the bilinear-constant scheme over the uniform rectangular meshes. Based on the global superconvergence analysis, recovery type a posteriori error estimates are derived. It is shown that the recovery type a posteriori error estimators provided in this paper are asymptotically exact if the conditions for the superconvergence are satisfied.
关键词	optimal control Stokes equations finite element approximation global superconvergence recovery 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:000241069000004
出版者	ISCI-INSTITUTE SCIENTIFIC COMPUTING & INFORMATION
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3103
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Huipo
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Grad Sch, Beijing 100039, Peoples R China
推荐引用方式 GB/T 7714	Liu, Huipo,Yan, Ningning. Global superconvergence for optimal control problems governed by Stokes equations[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2006,3(3):283-302.
APA	Liu, Huipo,&Yan, Ningning.(2006).Global superconvergence for optimal control problems governed by Stokes equations.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,3(3),283-302.
MLA	Liu, Huipo,et al."Global superconvergence for optimal control problems governed by Stokes equations".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 3.3(2006):283-302.