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A Priori Error Estimates of Crank-Nicolson Finite Volume Element Method for Parabolic Optimal Control Problems

Published online by Cambridge University Press:  03 June 2015

Xianbing Luo ,
Yanping Chen  and
Yunqing Huang
Xianbing Luo*
Affiliation:
School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, Hunan, China School of Science, Guizhou University, Guiyang 550025, Guizhou, China
Yanping Chen*
Affiliation:
School of Mathematical Sciences, South China Normal University, Guangzhou 510631, Guangdong, China
Yunqing Huang*
Affiliation:
School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, Hunan, China
*
URL: http://202.116.32.252/user_info.asp?usernamesp=°B3°C2°Dl°DE°C6°BC, Email: luoxb121@163.com
Corresponding author. Email: ypchen@xtu.edu.cn
Email: huangyq@xtu.edu.cn
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Abstract

In this paper, the Crank-Nicolson linear finite volume element method is applied to solve the distributed optimal control problems governed by a parabolic equation. The optimal convergent order O(h2+k2) is obtained for the numerical solution in a discrete L2-norm. A numerical experiment is presented to test the theoretical result.

Keywords

65M1565N0849M0535K05Variational discretizationparabolic optimal control problemsfinite volume element methoddistributed controlCrank-Nicolson
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 5 , Issue 5 , October 2013 , pp. 688 - 704
Copyright
Copyright © Global-Science Press 2013

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