Adaptive finite element method for elliptic optimal control problems: convergence and optimality | |
Gong, Wei1; Yan, Ningning2 | |
刊名 | NUMERISCHE MATHEMATIK |
2017-04-01 | |
卷号 | 135期号:4页码:1121-1170 |
ISSN号 | 0029-599X |
DOI | 10.1007/s00211-016-0827-9 |
英文摘要 | In this paper we consider the convergence analysis of adaptive finite element method for elliptic optimal control problems with pointwise control constraints. We use variational discretization concept to discretize the control variable and piecewise linear and continuous finite elements to approximate the state variable. Based on the well-established convergence theory of AFEM for elliptic boundary value problems, we rigorously prove the convergence and quasi-optimality of AFEM for optimal control problems with respect to the state and adjoint state variables, by using the so-called perturbation argument. Numerical experiments confirm our theoretical analysis. |
资助项目 | National Basic Research Program of China[2012CB821204] ; National Natural Science Foundation of China[11201464] ; National Natural Science Foundation of China[91530204] ; National Natural Science Foundation of China[11171337] |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | SPRINGER HEIDELBERG |
WOS记录号 | WOS:000398175500006 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/25194] |
专题 | 计算数学与科学工程计算研究所 |
通讯作者 | Gong, Wei |
作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, NCMIS,LSEC, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, NCMIS,LSEC, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Gong, Wei,Yan, Ningning. Adaptive finite element method for elliptic optimal control problems: convergence and optimality[J]. NUMERISCHE MATHEMATIK,2017,135(4):1121-1170. |
APA | Gong, Wei,&Yan, Ningning.(2017).Adaptive finite element method for elliptic optimal control problems: convergence and optimality.NUMERISCHE MATHEMATIK,135(4),1121-1170. |
MLA | Gong, Wei,et al."Adaptive finite element method for elliptic optimal control problems: convergence and optimality".NUMERISCHE MATHEMATIK 135.4(2017):1121-1170. |
个性服务 |
查看访问统计 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论