Optimal control for one complex dynamic system, II
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2017-03-16 16:24
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ALBU, Alla, ZUBOV, Vladimir. Optimal control for one complex dynamic system, II. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2009, nr. 2(60), pp. 3-18. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 2(60) / 2009 / ISSN 1024-7696 /ISSNe 2587-4322

Optimal control for one complex dynamic system, II

Pag. 3-18

Albu Alla, Zubov Vladimir
 
Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 16 decembrie 2013


Rezumat

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 for solving the direct problem was presented in the first part of this article, published in [1]. 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.

Cuvinte-cheie
Heat conduction, optimal control,

Stefan problem, finite-difference scheme, gradient method