中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
  4. 系统科学研究所
A mixed multiscale finite element method for convex optimal control problems with oscillating coefficients

文献类型：期刊论文

作者Chen, Yanping1; Huang, Yunqing2,3; Liu, Wenbin4,5; Yan, Ningning6
刊名COMPUTERS & MATHEMATICS WITH APPLICATIONS
出版日期2015-08-01
卷号70期号:4页码:297-313
关键词Multiscale control problem Mixed finite element Homogenization A prior error estimates
ISSN号0898-1221
DOI10.1016/j.camwa.2015.03.020
英文摘要We study numerical approximation of convex optimal control problems governed by elliptic partial differential equations with oscillating coefficients. Since the objective functional contains flux, we approximate the problems using the mixed finite element methods. We first analyze the standard mixed finite element approximation schemes. Then, motivated by the numerical simulation of the primal variable and the flux in highly heterogeneous porous media, we use a multiscale mixed finite element method to solve the state equations. The multiscale finite element bases are constructed by locally solving Neumann boundary value problems. The analysis of the approximate control problems is carried out under the assumption that the oscillating coefficients are locally periodic, which allows us to use homogenization theory to obtain the asymptotic structure of the solutions, although the numerical schemes are designed for the general case. (C) 2015 Elsevier Ltd. All rights reserved.
资助项目National Science Foundation of China[91430104] ; National Science Foundation of China[11271145] ; National Science Foundation of China[91430213] ; Specialized Research Fund for the Doctoral Program of Higher Education[20114407110009]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000359963200001
出版者PERGAMON-ELSEVIER SCIENCE LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/20593]  
专题系统科学研究所
通讯作者Chen, Yanping
作者单位1.S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
2.Xiangtan Univ, Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Hunan, Peoples R China
3.Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China
4.Univ Kent, KBS, Canterbury CT2 7NF, Kent, England
5.Univ Kent, IMS, Canterbury CT2 7NF, Kent, England
6.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式
GB/T 7714		 Chen, Yanping,Huang, Yunqing,Liu, Wenbin,et al. A mixed multiscale finite element method for convex optimal control problems with oscillating coefficients[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2015,70(4):297-313.
APA Chen, Yanping,Huang, Yunqing,Liu, Wenbin,&Yan, Ningning.(2015).A mixed multiscale finite element method for convex optimal control problems with oscillating coefficients.COMPUTERS & MATHEMATICS WITH APPLICATIONS,70(4),297-313.
MLA Chen, Yanping,et al."A mixed multiscale finite element method for convex optimal control problems with oscillating coefficients".COMPUTERS & MATHEMATICS WITH APPLICATIONS 70.4(2015):297-313.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

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。