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