Weak boundary penalization for Dirichlet boundary control problems governed by elliptic equations

doi:10.1016/j.jmaa.2017.04.016

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	Weak boundary penalization for Dirichlet boundary control problems governed by elliptic equations
	Chang, Lili 1; Gong, Wei2 ; Yan, Ningning3
刊名	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
	2017-09-01
卷号	453 期号:1 页码:529-557
关键词	Dirichlet boundary control Weak boundary penalization Finite element method A priori error estimate
ISSN号	0022-247X
DOI	10.1016/j.jmaa.2017.04.016
英文摘要	This paper concerns the finite element approximation of Dirichlet boundary control problems governed by elliptic equations. Different from the existing literatures, in which standard finite element method, mixed finite element method or Robin penalization method are used to deal with the underlying problems, we adopt an alternative penalization approach introduced by Nitsche called weak boundary penalization. Compared with the above methods, our discrete scheme not only keeps consistency and avoids penalization error, but also can be analyzed and computed conveniently as Neumann boundary control problems. Based on the weak boundary penalization method, we establish a finite element approximation to the Dirichlet boundary control problems and derive the a priori error estimates for the control, state and adjoint state. Numerical experiments are provided to confirm our theoretical results. (C) 2017 Elsevier Inc. All rights reserved.
资助项目	Tianyuan Youth Fund of Mathematics of China[11526129] ; Youth Science Fund of Shanxi Province[2015021020]
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000401782800033
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/25349]
专题	计算数学与科学工程计算研究所系统科学研究所
通讯作者	Chang, Lili
作者单位	1.Shanxi Univ, Complex Syst Res Ctr, Taiyuan 030006, Shanxi, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, LSEC,NCMIS, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Chang, Lili,Gong, Wei,Yan, Ningning. Weak boundary penalization for Dirichlet boundary control problems governed by elliptic equations[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2017,453(1):529-557.
APA	Chang, Lili,Gong, Wei,&Yan, Ningning.(2017).Weak boundary penalization for Dirichlet boundary control problems governed by elliptic equations.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,453(1),529-557.
MLA	Chang, Lili,et al."Weak boundary penalization for Dirichlet boundary control problems governed by elliptic equations".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 453.1(2017):529-557.