This article is cited in 9 papers

Choosing a cost functional and a difference scheme in the optimal control of metal solidification

A. V. Albu, V. I. Zubov

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

Abstract: The optimal control of solidification in metal casting is considered. The underlying mathematical model is based on a three-dimensional two-phase initial–boundary value problem of the Stefan type. The study is focused on choosing a cost functional in the optimal control of solidification and choosing a difference scheme for solving the direct problem. The results of the study are described and analyzed.

Key words: Stefan problem, heat conduction, solidification, difference scheme, cost functional.

UDC: 519.926

Received: 02.07.2010

 English version: Computational Mathematics and Mathematical Physics, 2011, 51:1, 21–34

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