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

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2009
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Posch, Cornelia
Scharrer, Georg
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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.

Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
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p-Laplace equation, optimal control, space mapping, surrogate optimization, globalized Newton-CG method
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ISO 690LASS, 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@unpublished{Lass2009Space-705,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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