Volume 3, Issue 4
Superconvergence of Parabolic Optimal Control Problems

Xiaoqing Xing & Yanping Chen

Adv. Appl. Math. Mech., 3 (2011), pp. 401-419.

Published online: 2011-03

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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

Optimal control mixed finite element superconvergence parabolic equations

  • AMS Subject Headings

65L10 65L12

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COPYRIGHT: © Global Science Press

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