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Preprint 15-2003

Optimization of a thermal coupled flow problem - part I: Algorithms and numerical experiments

Source file is available as :   Postscript Document

Author(s) : Günter Bärwolff , Michael Hinze

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 15-2003

MSC 2000

65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
65K10 Optimization and variational techniques

ZDM : M, N

CR : Algorithms, Theory

Abstract :
The Boussinesqu equation is used to describe crystal melt flows. For tracking type quadratic functionals are to minimize during the finding of an optimal boundary temperature or heat flux. The optimization system is constructed and an algorithm to evaluate the necessary optimality condition is developed. For a Czochralski crystal melt and a zone melting configuration numerical results are presented.

Keywords : timedepent Boussinesq equation, boundary control, numerical algorithm, numerical experiments

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