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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 12, Pages 1879–1893
DOI: https://doi.org/10.7868/S0044466914120059 (Mi zvmmf10122) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Investigation of the optimal control of metal solidification for a complex-geometry object in a new formulation

A. F. Albua, V. I. Zubovba

a Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
b Moscow Institute of Physics and Technology, Technical University, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia
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DOI: https://doi.org/10.7868/S0044466914120059
Abstract: New formulations of the optimal control problem for metal solidification in a furnace are proposed in the case of an object of complex geometry. The underlying mathematical model is based on a three-dimensional two-phase initial-boundary value problem of the Stefan type. The formulated problems are solved numerically with the help of gradient optimization methods. The gradient of the cost function is exactly computed by applying the fast automatic differentiation technique. The research results are described and analyzed. Some of the results are illustrated.
Key words: heat equation, metal solidification, Stefan problem, optimal control, fast automatic differentiation.
Received: 26.06.2014
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 12, Pages 1804–1816
DOI: https://doi.org/10.1134/S0965542514120057
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: A. F. Albu, V. I. Zubov, “Investigation of the optimal control of metal solidification for a complex-geometry object in a new formulation”, Zh. Vychisl. Mat. Mat. Fiz., 54:12 (2014), 1879–1893; Comput. Math. Math. Phys., 54:12 (2014), 1804–1816
Citation in format AMSBIB
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:54
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