Geodesic
Determination of functional gradient in an optimal control problem related to metal solidification
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 1, pp. 51-75 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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A. F. Albu; V. I. Zubov. Determination of functional gradient in an optimal control problem related to metal solidification. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 1, pp. 51-75. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_1_a3/

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