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Optimal Control Problems for the Nonlinear Heat Equation

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Online Optimization of Large Scale Systems

Abstract

Some aspects of numerical analysis are surveyed for the optimal control of the nonlinear heat equation. In the analysis, special emphasis is on second order sufficient optimality conditions. In particular, the case of pointwise state constraints is adressed. Moreover, a numerical technique of instantaneous control type is presented.

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Author information

Authors and Affiliations

  1. Fakultät für Mathematik, Technische Universität Chemnitz, Germany

    Karsten Eppler

  2. Fachbereich Mathematik, Technische Universität Berlin, Germany

    Fredi Tröltzsch

Authors
  1. Karsten Eppler
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  2. Fredi Tröltzsch
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Editors and Affiliations

  1. Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB), Takustraße 7, 14195, Berlin-Dahlem, Germany

    Martin Grötschel , Sven O. Krumke  & Jörg Rambau ,  & 

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Eppler, K., Tröltzsch, F. (2001). Optimal Control Problems for the Nonlinear Heat Equation. In: Grötschel, M., Krumke, S.O., Rambau, J. (eds) Online Optimization of Large Scale Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04331-8_12

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  • DOI: https://doi.org/10.1007/978-3-662-04331-8_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07633-6

  • Online ISBN: 978-3-662-04331-8

  • eBook Packages: Springer Book Archive

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