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Superconvergence of Mixed Methods for Optimal Control Problems Governed by Parabolic Equations

Published online by Cambridge University Press:  03 June 2015

Xiaoqing Xing  and
Yanping Chen
Xiaoqing Xing*
Affiliation:
School of Mathematical Sciences, South China Normal University, Guangzhou 510631, Guangdong, China
Yanping Chen*
Affiliation:
School of Mathematical Sciences, South China Normal University, Guangzhou 510631, Guangdong, China
*
URL: http://202.116.32.252/userinfo.asp?usernamesp=%B3%C2%D1%DE%C6%BC Email: xingxq@scnu.edu.cn
Corresponding author. Email: yanpingchen@scnu.edu.cn
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Abstract

In this paper, we investigate the superconvergence results for optimal control problems governed by parabolic equations with semidiscrete mixed finite element approximation. We use the lowest order mixed finite element spaces to discrete the state and costate variables while use piecewise constant function to discrete the control variable. Superconvergence estimates for both the state variable and its gradient variable are obtained.

Keywords

65L1065L12Optimal controlmixed finite elementsuperconvergenceparabolic equations

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Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 3 , Issue 4 , August 2011 , pp. 401 - 419
Copyright
Copyright © Global-Science Press 2011

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