Optimal boundary control of glass cooling processes
✍ Scribed by René Pinnau; Guido Thömmes
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 514 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.500
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✦ Synopsis
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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