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On a Problem of Optimal Control of Convection-Diffusion Processes

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Large-Scale Scientific Computing (LSSC 2017)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10665))

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Abstract

We study questions of the difference approximation of optimal control problems (OCPs) described by the Dirichlet problem for semilinear elliptic equations with non-self-adjoint operators and an imperfect contact matching condition. The coefficients of the convective transport of a state equation and in the matching boundary condition are used as a control function. Finite difference approximations for OCPs are constructed, the approximation error is estimated with respect to the state and the cost functional. We prove weak convergence of the approximations with respect to control and regularize them using Tikhonov regularization.

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References

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Authors and Affiliations

  1. Bashkir State University, Zaki Validi Street, 32, Republic of Bashkortostan, Russia

    Aigul Manapova & Fedor Lubyshev

Authors
  1. Aigul Manapova
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  2. Fedor Lubyshev
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Correspondence to Aigul Manapova .

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Editors and Affiliations

  1. Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Ivan Lirkov

  2. Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Svetozar Margenov

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Manapova, A., Lubyshev, F. (2018). On a Problem of Optimal Control of Convection-Diffusion Processes. In: Lirkov, I., Margenov, S. (eds) Large-Scale Scientific Computing. LSSC 2017. Lecture Notes in Computer Science(), vol 10665. Springer, Cham. https://doi.org/10.1007/978-3-319-73441-5_17

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  • DOI: https://doi.org/10.1007/978-3-319-73441-5_17

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-73440-8

  • Online ISBN: 978-3-319-73441-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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