POD-based scalar and multiobjective optimal control of evolution equations including operator-valued variables

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2019
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Zusammenfassung
This thesis investigates the usefulness of reduced-order modelling (ROM) in scalar and multiobjective optimal control of evolution equations. We approach a variety of advanced optimization aspects such as bilinear control-state pairings, iterative scalarization of a multiobjective cost function, set-oriented subdivision algorithms and mixed-integer optimal control. The resulting problems are investigated from a functional-analytical perspective and we propose new and efficient numerical strategies that can be used to solve them. Since a lot of these methods demand repeated solves of partial differential equations, a special focus is laid on the intelligent application of model-order reduction to reduce the computational effort. We make use of efficient, problem-specific error estimators to contain the discrepancy between high-order and low-order solutions.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Optimal control; Multiobjective optimization; Proper Orthogonal Decomposition; Mixed-Integer Optimal Control; Evolution equations
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Zitieren
ISO 690BEERMANN, Dennis, 2019. POD-based scalar and multiobjective optimal control of evolution equations including operator-valued variables [Dissertation]. Konstanz: University of Konstanz
BibTex
@phdthesis{Beermann2019PODba-46419,
  year={2019},
  title={POD-based scalar and multiobjective optimal control of evolution equations including operator-valued variables},
  author={Beermann, Dennis},
  address={Konstanz},
  school={Universität Konstanz}
}
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Prüfungsdatum der Dissertation
May 2, 2019
Hochschulschriftenvermerk
Konstanz, Univ., Diss., 2019
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