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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 1, Pages 51–75 (Mi zvmmf52)  
This article is cited in 12 scientific papers (total in 12 papers)

Determination of functional gradient in an optimal control problem related to metal solidification

A. F. Albu, V. I. Zubov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
Full-text PDF (2475 kB) Citations (12)
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Abstract: The gradient of the cost functional in the discrete optimal control problem of metal solidification in casting is exactly evaluated. The mathematical model describing the solidification process is based on a three-dimensional two-phase initial-boundary value problem of the Stefan type. Formulas determining exact gradient determination are derived using the fast automatic differentiation technique.
Key words: heat conduction, solidification, Stefan problem, optimal control, fast automatic differentiation, adjoint problem.
Received: 21.03.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 1, Pages 47–70
DOI: https://doi.org/10.1134/S0965542509010047
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: A. F. Albu, V. I. Zubov, “Determination of functional gradient in an optimal control problem related to metal solidification”, Zh. Vychisl. Mat. Mat. Fiz., 49:1 (2009), 51–75; Comput. Math. Math. Phys., 49:1 (2009), 47–70
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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