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

文献类型：期刊论文

作者Shen, Yue1,2,3; Jin, Chang1,2
刊名NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
出版日期2020-05-01
卷号13期号:2页码:400-432
关键词Fourth order elliptic equation optimal control problem decoupled mixed element method Lagrange element nonconforming Crouzeix-Raviart element a priori error estimates
ISSN号1004-8979
DOI10.4208/nmtma.OA-2019-0016
英文摘要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.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000519598500007
出版者GLOBAL SCIENCE PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/50910]  
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.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Beijing 100190, Peoples R China
3.Xian Univ Architecture & Technol, Xian 710055, Shaanxi, 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.

入库方式： OAI收割

来源：数学与系统科学研究院

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