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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2009, Number 1, Pages 3–21 (Mi basm212)  
This article is cited in 1 scientific paper (total in 1 paper)

Research articles

Optimal control for one complex dynamic system, I

Alla Albu, Vladimir Zubova

a Computing Centre of Russian Academy of Sciences, Moscow, Russia
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Abstract: The optimal control problem of the metal solidification in casting is considered. The process is modeled by a three-dimensional two-phase initial-boundary value problem of the Stefan type. A numerical algorithm is presented for solving the direct problem. The optimal control problem was solved numerically using the gradient method. The gradient of the cost function was found with the help of conjugate problem. The discreet conjugate problem was posed with the help of Fast Automatic Differentiation technique.
Keywords and phrases: heat conduction, Stefan problem, finite-difference scheme, optimal control, gradient method, Fast Automatic Differentiation technique.
Received: 09.10.2008
Bibliographic databases:
Document Type: Article
MSC: 49J20, 93C20
Language: English
Citation: Alla Albu, Vladimir Zubov, “Optimal control for one complex dynamic system, I”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2009, no. 1, 3–21
Citation in format AMSBIB
\Bibitem{AlbZub09}
\by Alla~Albu, Vladimir Zubov
\paper Optimal control for one complex dynamic system,~I
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2009
\issue 1
\pages 3--21
\mathnet{http://mi.mathnet.ru/basm212}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2532241}
\zmath{https://zbmath.org/?q=an:1176.49004}
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