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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 1, Pages 24–38 (Mi zvmmf8043)  
This article is cited in 9 scientific papers (total in 9 papers)

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

A. V. Albu, V. I. Zubov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333 Russia
Full-text PDF (274 kB) Citations (9)
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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.
Key words: Stefan problem, heat conduction, solidification, difference scheme, cost functional.
Received: 02.07.2010
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 1, Pages 21–34
DOI: https://doi.org/10.1134/S0965542511010027
Bibliographic databases:
Document Type: Article
UDC: 519.926
Language: Russian
Citation: A. V. Albu, V. I. Zubov, “Choosing a cost functional and a difference scheme in the optimal control of metal solidification”, Zh. Vychisl. Mat. Mat. Fiz., 51:1 (2011), 24–38; Comput. Math. Math. Phys., 51:1 (2011), 21–34
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Full-text PDF :114
    References:60
    First page:14
     
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