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dc.contributor.authorBärwolff, Günter
dc.contributor.authorHinze, Michael
dc.description.abstractIn the present paper we investigate optimal control of semiconductor melts in zone-melting and Czochralski growth configurations. The flow is governed by the Boussinesq approximation of the Navier-Stokes system. The control goal consists in tracking of a prescribed flow field. As control action boundary heating in terms of Dirichlet and Neumann-type boundary conditions is considered. Optimal control strategies are characterized in terms of the first-order optimality conditions. On the numerical level these optimality conditions are solved by a damped Picard iteration. We present numerical experiments in two and three spatial dimensions for the crystal (Bi0.25Sb0.75)2Te2, which is formed by a composition of bismuth point fifty antimony one point fifty tellurium two, as well as for Si (Silicium).en
dc.subject.ddc510 Mathematiken
dc.subject.othertimedepent Boussinesq equationen
dc.subject.otherboundary controlen
dc.subject.othernumerical algorithmen
dc.subject.othernumerical experimentsen
dc.titleOptimization of a thermal coupled flow problem - part I: Algorithms and numerical experimentsen
dc.typeResearch Paperen
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2003, 15en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften » Inst. Mathematikde
tub.subject.msc200065M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methodsen
tub.subject.msc200065K10 Optimization and variational techniquesen
Appears in Collections:Technische Universität Berlin » Publications

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