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

作者：Xing, Xiaoqing; Chen, Yanping^*

来源：Advances in Applied Mathematics and Mechanics, 2011, 3(4): 401-419.

DOI：10.4208/aamm.10-m1006

• Optimal control
• mixed finite element
• superconvergence
• parabolic equations

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.

• 出版日期2011-8
• 单位华南师范大学