Recovery type superconvergence and a posteriori error estimates for control problems governed by Stokes equations

doi:10.1016/j.cam.2006.10.083

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	Recovery type superconvergence and a posteriori error estimates for control problems governed by Stokes equations
	Liu, Huipo 1; Yan, Ningning 2
	2007-12-15
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	209 期号:2 页码:187-207
摘要	In this paper, we derive recovery type superconvergence analysis and a posteriori error estimates for the finite element approximation of the distributed optimal control governed by Stokes equations. We obtain superconvergence results and asymptotically exact a posteriori error estimates by applying two recovery methods, which are the patch recovery technique and the least-squares surface fitting method. Our results are based on some regularity assumption for the Stokes control problems and are applicable to the first order conforming finite element method with regular but nonuniform partitions. (C) 2006 Elsevier B.V. All rights reserved.
关键词	optimal control Stokes equations finite element methods superconvergence recovery
DOI	10.1016/j.cam.2006.10.083
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000253502800007
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5117
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.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Liu, Huipo,Yan, Ningning. Recovery type superconvergence and a posteriori error estimates for control problems governed by Stokes equations[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2007,209(2):187-207.
APA	Liu, Huipo,&Yan, Ningning.(2007).Recovery type superconvergence and a posteriori error estimates for control problems governed by Stokes equations.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,209(2),187-207.
MLA	Liu, Huipo,et al."Recovery type superconvergence and a posteriori error estimates for control problems governed by Stokes equations".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 209.2(2007):187-207.