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

Superconvergence of Mixed Methods for Optimal Control Problems Governed by Parabolic Equations
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Year:    2011

Author:    Xiaoqing Xing, Yanping Chen

Advances in Applied Mathematics and Mechanics, Vol. 3 (2011), Iss. 4 : pp. 401–419

Abstract

In this paper, we investigate the superconvergence results for optimal control problems governed by parabolic equations with semi-discrete 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.10-m1006

Advances in Applied Mathematics and Mechanics, Vol. 3 (2011), Iss. 4 : pp. 401–419

Published online:    2011-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords:    Optimal control mixed finite element superconvergence parabolic equations.

Author Details

Xiaoqing Xing

Yanping Chen

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