An approximate solution of the problem of optimal control over elliptic systems in domains of arbitrary form |
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Authors: | V. V. Skopetskii S. I. Lyashko S. A. Voytsekhovskii |
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Affiliation: | (1) Cybernetics Institute, National Academy of Sciences of Ukraine, Kiev, Ukraine;(2) Taras Shevchenko University, Kiev, Ukraine |
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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. |
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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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