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An approximate solution of the problem of optimal control over elliptic systems in domains of arbitrary form

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Cybernetics and Systems Analysis Aims and scope

Abstract

A combination of the net method and method of fictitious domains is used for solving the problem of optimal control over elliptic systems in domains of arbitrary form. As is shown, the proposed difference scheme has the order of accuracy O(h1/2) in the net norm W1/2 (ω).

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References

  1. J.-L. Lions, Optimal Control over Systems Described by Equations with Partial Derivatives [Russian translation], Mir, Moscow (1972).

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  3. G. I. Marchuk, Methods of Computational Mathematics [in Russian], Nauka, Moscow (1989).

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  4. F. Ciarlet, The Finite-Element Method for Elliptic Problems [Russian translation], Mir, Moscow (1980).

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  5. L. A. Oganesyan and L. A. Rukhovets, Variational Difference Methods of Solution of Elliptical Equations [in Russian], Akad. Nauk ArmSSR, Yerevan (1979).

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Authors and Affiliations

  1. Cybernetics Institute, National Academy of Sciences of Ukraine, Kiev, Ukraine

    V. V. Skopetskii & S. I. Lyashko

  2. Taras Shevchenko University, Kiev, Ukraine

    S. A. Voytsekhovskii

Authors
  1. V. V. Skopetskii
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  2. S. I. Lyashko
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  3. S. A. Voytsekhovskii
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Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 3–8, November–December, 1999.

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Skopetskii, V.V., Lyashko, S.I. & Voytsekhovskii, S.A. An approximate solution of the problem of optimal control over elliptic systems in domains of arbitrary form. Cybern Syst Anal 35, 847–852 (1999). https://doi.org/10.1007/BF02742274

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  • DOI: https://doi.org/10.1007/BF02742274

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