A posteriori error estimates for control problems governed by nonlinear elliptic equations

doi:10.1016/S0168-9274(03)00054-0

CSpace

	A posteriori error estimates for control problems governed by nonlinear elliptic equations
	Liu, WB ; Yan, NN
	2003-11-01
发表期刊	APPLIED NUMERICAL MATHEMATICS
ISSN	0168-9274
卷号	47 期号:2 页码:173-187
摘要	In this paper, we derive a posteriori error estimates for the finite element approximation of a class of nonlinear optimal control problems. We derive a posteriori error estimates for both the state and the control approximation. Such estimates, which are apparently not available in the literature, can be used to construct reliable adaptive finite element approximation schemes for the control problems. (C) 2003 IMACS. Published by Elsevier B.V. All rights reserved.
关键词	nonlinear optimal control finite element approximation adaptive finite element methods a posteriori error analysis
DOI	10.1016/S0168-9274(03)00054-0
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000186130500009
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/18302
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, WB
作者单位	1.Univ Kent, CBS & IMS, Canterbury CT2 7NF, Kent, England 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, WB,Yan, NN. A posteriori error estimates for control problems governed by nonlinear elliptic equations[J]. APPLIED NUMERICAL MATHEMATICS,2003,47(2):173-187.
APA	Liu, WB,&Yan, NN.(2003).A posteriori error estimates for control problems governed by nonlinear elliptic equations.APPLIED NUMERICAL MATHEMATICS,47(2),173-187.
MLA	Liu, WB,et al."A posteriori error estimates for control problems governed by nonlinear elliptic equations".APPLIED NUMERICAL MATHEMATICS 47.2(2003):173-187.