Functional gradient evaluation in the optimal control of a complex dynamical system
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 5, pp. 814-833
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The gradient of the cost functional in a discrete optimal control problem for metal solidification in metal casting is exactly calculated. In contrast to previous studies, the object under analysis has a complex geometric shape. The mathematical model for describing the solidification process is based on a three-dimensional two-phase initial–boundary value problem of the Stefan type. Formulas for exact gradient evaluation are derived using the fast automatic differentiation technique.
@article{ZVMMF_2011_51_5_a6,
author = {A. V. Albu and A. F. Albu and V. I. Zubov},
title = {Functional gradient evaluation in the optimal control of a~complex dynamical system},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {814--833},
publisher = {mathdoc},
volume = {51},
number = {5},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_5_a6/}
}
TY - JOUR AU - A. V. Albu AU - A. F. Albu AU - V. I. Zubov TI - Functional gradient evaluation in the optimal control of a complex dynamical system JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2011 SP - 814 EP - 833 VL - 51 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_5_a6/ LA - ru ID - ZVMMF_2011_51_5_a6 ER -
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A. V. Albu; A. F. Albu; V. I. Zubov. Functional gradient evaluation in the optimal control of a complex dynamical system. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 5, pp. 814-833. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_5_a6/