Abstract
We propose a numerical method of constructing the optimal heating regime for a thermally stressed unbounded layer with constraints on the control and thermal stresses. Solving the nonlinear optimization problem for rapidity is reduced to solving the inverse problem of thermoelasticity. The results of numerical studies are presented.
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Translated fromMatematichni Metody i Fiziko-Mekhanichni Polya, Vol. 38, 1995.
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Vigak, V.M., Zasadna, K.O. A nonlinear optimal control problem for the nonsteady temperature of a layer with constraints on the thermal stress. J Math Sci 81, 3113–3116 (1996). https://doi.org/10.1007/BF02362606
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DOI: https://doi.org/10.1007/BF02362606