Abstract
In this paper we report on the numerical treatment of the controlled cooling of steel profiles in cooling lines. The cooling process is described by a nonlinear heat equation with boundary conditions of the third kind. A (linear) objective functional is given, which is minimized by means of a method of feasible directions. Both the nonlinear and the linearized heat equations are solved by a finite element multigrid method. Some numerical results are presented.
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© 1997 Springer-Verlag Berlin Heidelberg
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Tröltzsch, F., Lezius, R., Krengel, R., Wehage, H. (1997). Mathematische Behandlung der optimalen Steuerung von Abkühlungsprozessen bei Profilstählen. In: Hoffmann, KH., Jäger, W., Lohmann, T., Schunck, H. (eds) Mathematik Schlüsseltechnologie für die Zukunft. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60550-5_42
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DOI: https://doi.org/10.1007/978-3-642-60550-5_42
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