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A posteriori error estimates of constrained optimal control problem governed by convection diffusion equations

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Abstract

In this paper, we study a posteriori error estimates of the edge stabilization Galerkin method for the constrained optimal control problem governed by convection-dominated diffusion equations. The residual-type a posteriori error estimators yield both upper and lower bounds for control u measured in L 2-norm and for state y and costate p measured in energy norm. Two numerical examples are presented to illustrate the effectiveness of the error estimators provided in this paper.

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Authors and Affiliations

  1. State Key Laboratory of Scientific and Engineering Computing, Institute of Systems Science, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, 100190, China

    Ningning Yan & Zhaojie Zhou

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  1. Ningning Yan
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  2. Zhaojie Zhou
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Correspondence to Ningning Yan.

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Yan, N., Zhou, Z. A posteriori error estimates of constrained optimal control problem governed by convection diffusion equations. Front. Math. China 3, 415–442 (2008). https://doi.org/10.1007/s11464-008-0029-6

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  • DOI: https://doi.org/10.1007/s11464-008-0029-6

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