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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 5, Pages 851–862 (Mi zvmmf141)  
This article is cited in 8 scientific papers (total in 8 papers)

Optimal control of the solidification process in metal casting

A. F. Albu, V. I. Zubov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
Full-text PDF (1476 kB) Citations (8)
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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.
Key words: Stefan problem, heat conduction, metal solidification, gradient method.
Received: 09.10.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 5, Pages 805–815
DOI: https://doi.org/10.1134/S0965542508050096
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: A. F. Albu, V. I. Zubov, “Optimal control of the solidification process in metal casting”, Zh. Vychisl. Mat. Mat. Fiz., 48:5 (2008), 851–862; Comput. Math. Math. Phys., 48:5 (2008), 805–815
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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