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Mixed Methods for Optimal Control Problems

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An Erratum to this article was published on 01 October 2018

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Abstract

In this paper, we investigate a posteriori error estimates of amixed finite elementmethod for elliptic optimal control problems with an integral constraint. The gradient for ourmethod belongs to the square integrable space instead of the classical H(div; Ω) space. The state and co-state are approximated by the P 20 -P1 (velocity–pressure) pair and the control variable is approximated by piecewise constant functions. Using duality argument method and energy method, we derive the residual a posteriori error estimates for all variables.

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Change history

  • 12 December 2018

    Page 268 (and Contents), the title should read as follows:

    A Posteriori Error Estimates of a Mixed Finite Element Method for Elliptic Optimal Control Problems with an Integral Constraint.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Beihua University, Jilin, 132013, China

    T. Hou

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  1. T. Hou
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Original Russian Text © T. Hou, 2018, published in Sibirskii Zhurnal Vychislitel’noi Matematiki, 2018, Vol. 21, No. 3, pp. 327–337.

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Hou, T. Mixed Methods for Optimal Control Problems. Numer. Analys. Appl. 11, 268–277 (2018). https://doi.org/10.1134/S1995423918030072

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