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Optimal control of the solidification process in metal casting

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Abstract

The optimal control of the solidification process in metal casting is considered. The mathematical model is based on a three-dimensional two-phase initial-boundary value problem of the Stefan type. The mathematical formulation of the optimal control problem is given. The problem is solved numerically by direct optimization methods. The numerical results are described and analyzed. Some of the results are illustrated by plots.

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Authors and Affiliations

  1. Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia

    A. F. Albu & V. I. Zubov

Authors
  1. A. F. Albu
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  2. V. I. Zubov
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Correspondence to A. F. Albu.

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Original Russian Text © A.F. Albu, V.I. Zubov, 2008, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2008, Vol. 48, No. 5, pp. 851–862.

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Albu, A.F., Zubov, V.I. Optimal control of the solidification process in metal casting. Comput. Math. and Math. Phys. 48, 805–815 (2008). https://doi.org/10.1134/S0965542508050096

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  • DOI: https://doi.org/10.1134/S0965542508050096

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