A-posteriori error estimation of discrete POD models for PDE-constrained optimal control
| dc.contributor.author | Gubisch, Martin | |
| dc.contributor.author | Neitzel, Ira | |
| dc.contributor.author | Volkwein, Stefan | |
| dc.date.accessioned | 2018-02-06T15:38:17Z | |
| dc.date.available | 2018-02-06T15:38:17Z | |
| dc.date.issued | 2017 | eng |
| dc.description.abstract | 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. | eng |
| dc.description.version | published | eng |
| dc.identifier.doi | 10.1007/978-3-319-58786-8_14 | eng |
| dc.identifier.ppn | 461743353 | |
| dc.identifier.uri | https://kops.uni-konstanz.de/handle/123456789/33371.2 | |
| dc.language.iso | eng | eng |
| dc.subject.ddc | 510 | eng |
| dc.title | A-posteriori error estimation of discrete POD models for PDE-constrained optimal control | eng |
| dc.type | INCOLLECTION | eng |
| dspace.entity.type | Publication | |
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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}
} | |
| kops.citation.iso690 | 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_14 | deu |
| kops.citation.iso690 | 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_14 | eng |
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| kops.sourcefield | BENNER, Peter, ed. and others. <i>Model reduction of parametrized systems</i>. 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 | deu |
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