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Mathematische Behandlung der optimalen Steuerung von Abkühlungsprozessen bei Profilstählen

In: Mathematik Schlüsseltechnologie für die Zukunft

Author

Listed:
  • F. Tröltzsch

    (TU Chemnitz-Zwickau, Fakultät für Mathematik)

  • R. Lezius

    (TU Chemnitz-Zwickau, Fakultät für Mathematik)

  • R. Krengel

    (Mannesmann Demag Sack GmbH, PF 2050)

  • H. Wehage

    (Mannesmann Demag Sack GmbH, PF 2050)

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.

Suggested Citation

  • F. Tröltzsch & R. Lezius & R. Krengel & H. Wehage, 1997. "Mathematische Behandlung der optimalen Steuerung von Abkühlungsprozessen bei Profilstählen," Springer Books, in: Karl-Heinz Hoffmann & Willi Jäger & Thomas Lohmann & Hermann Schunck (ed.), Mathematik Schlüsseltechnologie für die Zukunft, pages 513-522, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-60550-5_42
    DOI: 10.1007/978-3-642-60550-5_42
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