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Choosing a cost functional and a difference scheme in the optimal control of metal solidification

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Abstract

The optimal control of solidification in metal casting is considered. The underlying mathematical model is based on a three-dimensional two-phase initial-boundary value problem of the Stefan type. The study is focused on choosing a cost functional in the optimal control of solidification and choosing a difference scheme for solving the direct problem. The results of the study are described and analyzed.

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References

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Authors and Affiliations

  1. Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia

    A. V. Albu & V. I. Zubov

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

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Dedicated to Academician A.A. Dorodnicyn on the Occasion of the Centenary of His Birth

Original Russian Text © A.V. Albu, V.I. Zubov, 2011, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2011, Vol. 51, No. 1, pp. 24–38.

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Albu, A.V., Zubov, V.I. Choosing a cost functional and a difference scheme in the optimal control of metal solidification. Comput. Math. and Math. Phys. 51, 21–34 (2011). https://doi.org/10.1134/S0965542511010027

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  • DOI: https://doi.org/10.1134/S0965542511010027

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