@techreport{Rogg2017Trust-38240,
  year={2017},
  series={Konstanzer Schriften in Mathematik},
  title={Trust-Region POD using A-Posteriori Error Estimation for Semilinear Parabolic Optimal Control Problems},
  number={359},
  author={Rogg, Sabrina and Trenz, Stefan and Volkwein, Stefan}
}

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    <dcterms:abstract xml:lang="eng">An optimal control problem governed by a semilinear heat equation is solved using a globalized inexact Newton method. To reduce the computational effort a model order reduction approach based on proper orthogonal decomposition (POD) is applied. Within a trust region framework we guarantee that the reduced-order models are sufficiently accurate by ensuring gradient accuracy. The gradient error is successfully monitored by an a-posteriori error estimate. Numerical results are presented and discussed.</dcterms:abstract>
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    <dc:contributor>Volkwein, Stefan</dc:contributor>
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