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
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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.
@article{ZVMMF_2009_49_1_a3,
author = {A. F. Albu and V. I. Zubov},
title = {Determination of functional gradient in an optimal control problem related to metal solidification},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {51--75},
publisher = {mathdoc},
volume = {49},
number = {1},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_1_a3/}
}
TY - JOUR AU - A. F. Albu AU - V. I. Zubov TI - Determination of functional gradient in an optimal control problem related to metal solidification JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2009 SP - 51 EP - 75 VL - 49 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_1_a3/ LA - ru ID - ZVMMF_2009_49_1_a3 ER -
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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/