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Multi-mesh adaptive finite element algorithms for constrained optimal control problems governed by semi-linear parabolic equations

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Abstract

In this paper, we derive a posteriori error estimators for the constrained optimal control problems governed by semi-linear parabolic equations under some assumptions. Then we use them to construct reliable and efficient multi-mesh adaptive finite element algorithms for the optimal control problems. Some numerical experiments are presented to illustrate the theoretical results.

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Authors and Affiliations

  1. Medical College of Yiyang, Yiyang, 413001, China

    Tie-jun Chen, Jian-xin Xiao & Hui-ying Wang

Authors
  1. Tie-jun Chen
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  2. Jian-xin Xiao
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  3. Hui-ying Wang
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Correspondence to Tie-jun Chen.

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Chen, Tj., Xiao, Jx. & Wang, Hy. Multi-mesh adaptive finite element algorithms for constrained optimal control problems governed by semi-linear parabolic equations. Acta Math. Appl. Sin. Engl. Ser. 30, 411–428 (2014). https://doi.org/10.1007/s10255-014-0292-0

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  • DOI: https://doi.org/10.1007/s10255-014-0292-0

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