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An approximate solution of the problem of optimal control over elliptic systems in domains of arbitrary form
Authors:V. V. Skopetskii  S. I. Lyashko  S. A. Voytsekhovskii
Affiliation:(1) Cybernetics Institute, National Academy of Sciences of Ukraine, Kiev, Ukraine;(2) Taras Shevchenko University, Kiev, Ukraine
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). Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 3–8, November–December, 1999.
Keywords:elliptic systems in domains of arbitrary form  theory of optimal control  net method  method of fictitious domains  Di rich let problem  difference scheme of solving the problem of optimal control
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