Optimal boundary control of glass cooling processes
René Pinnau, Guido Thömmes
Source abstract
Abstract In this paper, an optimal control problem for glass cooling processes is studied. We model glass cooling using the SP 1 approximations to the radiative heat transfer equations. The control variable is the temperature at the boundary of the domain. This results in a boundary control problem for a parabolic/elliptic system which is treated by a constrained optimization approach. We consider several cost functionals of tracking‐type and formally derive the first‐order optimality system. Several numerical methods based on the adjoint variables are investigated. We present results of numerical simulations illustrating the feasibility and performance of the different approaches. Copyright © 2004 John Wiley & Sons, Ltd.
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