Publikation:

Trust-Region POD using A-Posteriori Error Estimation for Semilinear Parabolic Optimal Control Problems

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Rogg_0-401106.pdf
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2017

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http://nbn-resolving.de/urn:nbn:de:bsz:352-0-401106
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Zusammenfassung

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.

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Fachgebiet (DDC)
510 Mathematik

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Optimal control, trust-region methods, reduced-order modelling, proper orthogonal decomposition

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ISO 690ROGG, Sabrina, Stefan TRENZ, Stefan VOLKWEIN, 2017. Trust-Region POD using A-Posteriori Error Estimation for Semilinear Parabolic Optimal Control Problems
BibTex
@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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