A-posteriori error estimation of discrete POD models for PDE-constrained optimal control
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2017
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BENNER, Peter, ed. and others. Model reduction of parametrized systems. Cham: Springer Nature, 2017, pp. 213-234. Modeling, simulation & applications. 17. ISBN 978-3-319-58785-1. Available under: doi: 10.1007/978-3-319-58786-8_14
Zusammenfassung
In this work a-posteriori error estimates for linear-quadratic optimal control problems governed by parabolic equations are considered. Different error estimation techniques for finite element discretizations and model-order reduction are combined to validate suboptimal control solutions from low-order models which are constructed by a Galerkin discretization and the application of proper orthogonal decomposition. The theoretical findings are used to design an updating algorithm for the reduced-order models; the efficiency and accuracy are illustrated by numerical tests.
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510 Mathematik
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GUBISCH, Martin, Ira NEITZEL, Stefan VOLKWEIN, 2017. A-posteriori error estimation of discrete POD models for PDE-constrained optimal control. In: BENNER, Peter, ed. and others. Model reduction of parametrized systems. Cham: Springer Nature, 2017, pp. 213-234. Modeling, simulation & applications. 17. ISBN 978-3-319-58785-1. Available under: doi: 10.1007/978-3-319-58786-8_14BibTex
@incollection{Gubisch2017Apost-33371.2,
year={2017},
doi={10.1007/978-3-319-58786-8_14},
title={A-posteriori error estimation of discrete POD models for PDE-constrained optimal control},
number={17},
isbn={978-3-319-58785-1},
publisher={Springer Nature},
address={Cham},
series={Modeling, simulation & applications},
booktitle={Model reduction of parametrized systems},
pages={213--234},
editor={Benner, Peter},
author={Gubisch, Martin and Neitzel, Ira and Volkwein, Stefan}
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