Publikation:

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

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Beermann_2-1h674wx56ilpx9.pdf
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2019

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http://nbn-resolving.de/urn:nbn:de:bsz:352-2-1h674wx56ilpx9
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CC BY-NC-SA 4.0

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Open Access Green

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Mathematik und Statistik: Publikationen
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Dissertation
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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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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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Kontakt
URL der Originalveröffentl.

Prüfdatum der URL

Prüfungsdatum der Dissertation

May 2, 2019
Hochschulschriftenvermerk
Konstanz, Univ., Diss., 2019
Finanzierungsart

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