Abstract
For a thermoelastic half-space we study the problem of constructing in the space of continuous functions a quasi-optimal control of the axisymmetric vertical displacements in a given section parallel to the boundary surface in the form of a sequence that minimizes the original optimality criterion. For a half-space heated over a circular region by a heat flux of constant intensity we carry out a numerical analysis of the behavior of the elements of the minimizing sequence.
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Translated fromMatematichni Metodi ta Fiziko-mekhanichni Polya, Vol. 39, No. 1, 1996, pp. 104–109.
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Yasinskii, A.V. Quasi-optimal control of axisymmetric temperature displacements in a given section of a body using internal heat sources. J Math Sci 86, 2611–2615 (1997). https://doi.org/10.1007/BF02356106
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DOI: https://doi.org/10.1007/BF02356106