Geodesic
Choosing a cost functional and a difference scheme in the optimal control of metal solidification
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 1, pp. 24-38 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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A. V. Albu; V. I. Zubov. Choosing a cost functional and a difference scheme in the optimal control of metal solidification. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 1, pp. 24-38. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_1_a1/

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