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
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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.
@article{ZVMMF_2011_51_1_a1,
author = {A. V. Albu and V. I. Zubov},
title = {Choosing a~cost functional and a~difference scheme in the optimal control of metal solidification},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {24--38},
publisher = {mathdoc},
volume = {51},
number = {1},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_1_a1/}
}
TY - JOUR AU - A. V. Albu AU - V. I. Zubov TI - Choosing a cost functional and a difference scheme in the optimal control of metal solidification JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2011 SP - 24 EP - 38 VL - 51 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_1_a1/ LA - ru ID - ZVMMF_2011_51_1_a1 ER -
%0 Journal Article %A A. V. Albu %A V. I. Zubov %T Choosing a cost functional and a difference scheme in the optimal control of metal solidification %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2011 %P 24-38 %V 51 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_1_a1/ %G ru %F ZVMMF_2011_51_1_a1
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/