Greedy Sampling using Nonlinear Optimization

Urban, Karsten; Volkwein, Stefan; Zeeb, Oliver

Greedy Sampling using Nonlinear Optimization

Dateien

UrbanVolkweinZeeb.pdfGröße: 1.06 MBDownloads: 1009

Datum

2012

Autor:innen

Urban, Karsten

Volkwein, Stefan

Zeeb, Oliver

ISSN der Zeitschrift

1430-3558

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik

Publikationstyp

Working Paper/Technical Report

Publikationsstatus

Published

Zusammenfassung

We consider the reduced basis generation in the offline stage. As an alternative for standard Greedy-training methods based upon a-posteriori error estimates on a training subset of the parameter set, we consider a nonlinear optimization combined with a Greedy method. We define an optimization problem for selecting a new parameter value on a given reduced space. This new parameter is then used --in a Greedy fashion-- to determine the corresponding snapshot and to update the reduced basis. We show the well-posedness of this nonlinear optimization problem and derive first- and second-order optimality conditions. Numerical comparisons with the standard Greedy-training method are shown.

Fachgebiet (DDC)

510 Mathematik

Zitieren

ISO 690

URBAN, Karsten, Stefan VOLKWEIN, Oliver ZEEB, 2012. Greedy Sampling using Nonlinear Optimization. ISSN 1430-3558

BibTex

@techreport{Urban2012Greed-20805,
  year={2012},
  series={Konstanzer Schriften in Mathematik},
  title={Greedy Sampling using Nonlinear Optimization},
  number={308},
  author={Urban, Karsten and Volkwein, Stefan and Zeeb, Oliver}
}

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