Space mapping techniques for a structural optimization problem governed by the p-Laplace equation

Lass, Oliver; Posch, Cornelia; Scharrer, Georg; Volkwein, Stefan

Space mapping techniques for a structural optimization problem governed by the p-Laplace equation

Dateien

LassPoschScharrerVolkwein.pdfGröße: 4.95 MBDownloads: 630

Datum

2009

Autor:innen

Lass, Oliver

Posch, Cornelia

Scharrer, Georg

Volkwein, Stefan

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik

Publikationstyp

Preprint

Publikationsstatus

Published

Zusammenfassung

Solving optimal control problems for real world applications are hard to tackle numerically due to the large size and the complex underlying (partial differential equations based) models. In this paper a structural optimization problem governed by the p-Laplace equation (fine model) is considered. A surrogate optimization is utilized to develop an efficient numerical optimization method. Here the p-Laplace equation is replaced by a simplified (coarse) model, a space mapping attempts to match, in the coarse model, the values of the p-Laplace equation. Numerical examples illustrate the presented approach.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

p-Laplace equation, optimal control, space mapping, surrogate optimization, globalized Newton-CG method

Zitieren

ISO 690

LASS, Oliver, Cornelia POSCH, Georg SCHARRER, Stefan VOLKWEIN, 2009. Space mapping techniques for a structural optimization problem governed by the p-Laplace equation

BibTex

@unpublished{Lass2009Space-705,
  year={2009},
  title={Space mapping techniques for a structural optimization problem governed by the p-Laplace equation},
  author={Lass, Oliver and Posch, Cornelia and Scharrer, Georg and Volkwein, Stefan}
}

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Universitätsbibliographie

Ja