NDLI: Control of substance solidification in a complex-geometry mold

Content Provider	Springer Nature Link
Author	Albu, A. V. Albu, A. F. Zubov, V. I.
Copyright Year	2012
Abstract	The control of metal solidification in a mold of complex geometry is studied. The underlying mathematical model is based on a three-dimensional two-phase initial-boundary value problem of the Stefan type. The mathematical formulation of the optimal control problem for the solidification process is presented. This problem was solved numerically using gradient optimization methods. The gradient of the cost function was computed by applying the fast automatic differentiation technique, which yields the exact value of the cost function gradient for the chosen discrete version of the optimal control problem. The results of the study are described and analyzed. Some of the results are illustrated as plots.
Starting Page	1612
Ending Page	1623
Page Count	12
File Format	PDF
ISSN	09655425
Journal	Computational Mathematics and Mathematical Physics
Volume Number	52
Issue Number	12
e-ISSN	15556662
Language	English
Publisher	SP MAIK Nauka/Interperiodica
Publisher Date	2012-12-14
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	heat equation solidification of metal Stefan problem optimal control fast automatic differentiation adjoint problem Computational Mathematics and Numerical Analysis
Content Type	Text
Resource Type	Article
Subject	Computational Mathematics

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Control of substance solidification in a complex-geometry mold