Tuesday, 14:15 - 14:40 h, Room: MA 415


Oliver Tse
Optimal boundary control of natural convection-radiation model in melting furnaces

Coauthor: René Pinnau


In this paper we present a comprehensive analysis of an optimal boundary control for a combined natural convection-radiation model, which has applications in the design of combustion chambers or for the control of melting processes in glass production or crystal growth. The model under investigation consists of the transient Boussinesq system coupled with a nonlinear heat equation and the SP3 model for radiation. We present existence, uniqueness and regularity results of bounded states. We further state an analysis of an optimal control problem, where we show the existence of an optimal control, derive the first-order optimality system and analyze the adjoint system. To underline the feasibility of the approach, we present numerical results based on a descent method using adjoint information.


Talk 3 of the invited session Tue.2.MA 415
"Optimization applications in industry I" [...]
Cluster 19
"PDE-constrained optimization & multi-level/multi-grid methods" [...]


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