Geodesic
Control of phase boundary evolution in metal solidification for new thermodynamic parameters of the metal
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 5, pp. 768-776

Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of controlling the phase boundary evolution in the course of solidification of metals with different thermodynamic properties is studied. The underlying mathematical model of the process is based on a three-dimensional nonstationary two-phase initial-boundary value problem of the Stefan type. The control functions are determined by optimal control problems, which are solved numerically with the help of gradient optimization methods. The gradient of the cost function is exactly computed by applying the fast automatic differentiation technique. The research results are described and analyzed. Some of them are illustrated. 
@article{ZVMMF_2016_56_5_a4,
     author = {A. F. Albu},
     title = {Control of phase boundary evolution in metal solidification for new thermodynamic parameters of the metal},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {768--776},
     publisher = {mathdoc},
     volume = {56},
     number = {5},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_5_a4/}
}
TY  - JOUR
AU  - A. F. Albu
TI  - Control of phase boundary evolution in metal solidification for new thermodynamic parameters of the metal
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2016
SP  - 768
EP  - 776
VL  - 56
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_5_a4/
LA  - ru
ID  - ZVMMF_2016_56_5_a4
ER  - 
%0 Journal Article
%A A. F. Albu
%T Control of phase boundary evolution in metal solidification for new thermodynamic parameters of the metal
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2016
%P 768-776
%V 56
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_5_a4/
%G ru
%F ZVMMF_2016_56_5_a4
A. F. Albu. Control of phase boundary evolution in metal solidification for new thermodynamic parameters of the metal. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 5, pp. 768-776. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_5_a4/