This article is cited in 12 papers

Determination of functional gradient in an optimal control problem related to metal solidification

A. F. Albu, V. I. Zubov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia

Abstract: 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.

Key words: heat conduction, solidification, Stefan problem, optimal control, fast automatic differentiation, adjoint problem.

UDC: 519.626

Received: 21.03.2008

 English version: Computational Mathematics and Mathematical Physics, 2009, 49:1, 47–70

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