Decoupled Mixed Element Methods for Fourth Order Elliptic Optimal Control Problems with Control Constraints

doi:10.4208/nmtma.OA-2019-0016

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	Decoupled Mixed Element Methods for Fourth Order Elliptic Optimal Control Problems with Control Constraints
	Shen, Yue 1,2,3; Jin, Chang 2,3
	2020-05-01
发表期刊	NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
ISSN	1004-8979
卷号	13 期号:2 页码:400-432
摘要	In this paper, we study the finite element methods for distributed optimal control problems governed by the biharmonic operator. Motivated from reducing the regularity of solution space, we use the decoupled mixed element method which was used to approximate the solution of biharmonic equation to solve the fourth order optimal control problems. Two finite element schemes, i.e., Lagrange conforming element combined with full control discretization and the nonconforming Crouzeix-Raviart element combined with variational control discretization, are used to discretize the decoupled optimal control system. The corresponding a priori error estimates are derived under appropriate norms which are then verified by extensive numerical experiments.
关键词	Fourth order elliptic equation optimal control problem decoupled mixed element method Lagrange element nonconforming Crouzeix-Raviart element a priori error estimates
DOI	10.4208/nmtma.OA-2019-0016
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000519598500007
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50911
专题	中国科学院数学与系统科学研究院
通讯作者	Shen, Yue
作者单位	1.Xian Univ Architecture & Technol, Xian 710055, Shaanxi, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Shen, Yue,Jin, Chang. Decoupled Mixed Element Methods for Fourth Order Elliptic Optimal Control Problems with Control Constraints[J]. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,2020,13(2):400-432.
APA	Shen, Yue,&Jin, Chang.(2020).Decoupled Mixed Element Methods for Fourth Order Elliptic Optimal Control Problems with Control Constraints.NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,13(2),400-432.
MLA	Shen, Yue,et al."Decoupled Mixed Element Methods for Fourth Order Elliptic Optimal Control Problems with Control Constraints".NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS 13.2(2020):400-432.