@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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    <dcterms:abstract xml:lang="eng">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.</dcterms:abstract>
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    <dc:contributor>Beermann, Dennis</dc:contributor>
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