Trust-Region RB Methods for PDE-Constrained Optimization and Optimal Input Design

Kurzanzeige
dc.contributor.authorPetrocchi, Andrea
dc.contributor.authorScharrer, Matthias K.
dc.contributor.authorVolkwein, Stefan
dc.date.accessioned2023-01-05T11:54:43Z
dc.date.available2023-01-05T11:54:43Z
dc.date.issued2022eng
dc.description.abstractIn this paper we propose an algorithm for the bi-level optimal input design involving a parameter-dependent evolution problem. In the inner cycle a control is fixed and the parameter is optimized in order to minimize a cost function that measure the discrepancy from some data. In the outer cycle the found parameter is fixed and the control is now optimized in order to minimize a suitable measure of uncertainty of the parameters. The inner cycle uses a trust-region reduced basis approximation of the model with creation and enrichment of the reduced basis on-the-fly. Numerical examples illustrate the efficiency of the proposed approach.eng
dc.description.versionpublishedeng
dc.identifier.doi10.1016/j.ifacol.2022.10.392eng
dc.identifier.ppn1830447041
dc.identifier.urihttps://kops.uni-konstanz.de/handle/123456789/59646
dc.language.isoengeng
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dc.titleTrust-Region RB Methods for PDE-Constrained Optimization and Optimal Input Designeng
dc.typeJOURNAL_ARTICLEeng
dspace.entity.typePublication
kops.citation.bibtex
@article{Petrocchi2022Trust-59646,
  year={2022},
  doi={10.1016/j.ifacol.2022.10.392},
  title={Trust-Region RB Methods for PDE-Constrained Optimization and Optimal Input Design},
  number={26},
  volume={55},
  journal={IFAC-PapersOnLine},
  pages={149--154},
  author={Petrocchi, Andrea and Scharrer, Matthias K. and Volkwein, Stefan}
}
kops.citation.iso690PETROCCHI, Andrea, Matthias K. SCHARRER, Stefan VOLKWEIN, 2022. Trust-Region RB Methods for PDE-Constrained Optimization and Optimal Input Design. In: IFAC-PapersOnLine. Elsevier. 2022, 55(26), pp. 149-154. eISSN 2405-8963. Available under: doi: 10.1016/j.ifacol.2022.10.392deu
kops.citation.iso690PETROCCHI, Andrea, Matthias K. SCHARRER, Stefan VOLKWEIN, 2022. Trust-Region RB Methods for PDE-Constrained Optimization and Optimal Input Design. In: IFAC-PapersOnLine. Elsevier. 2022, 55(26), pp. 149-154. eISSN 2405-8963. Available under: doi: 10.1016/j.ifacol.2022.10.392eng
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