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

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2011

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Posch, C.
Scharrer, Georg

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http://nbn-resolving.de/urn:nbn:de:bsz:352-185560
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https://doi.org/10.1080/10556788.2011.582112
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Optimization Methods and Software. 2011, 26(4-5), pp. 617-642. ISSN 1055-6788. Available under: doi: 10.1080/10556788.2011.582112

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.

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510 Mathematik

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ISO 690LASS, Oliver, C. POSCH, Georg SCHARRER, Stefan VOLKWEIN, 2011. Space mapping techniques for a structural optimization problem governed by the p : Laplace equation. In: Optimization Methods and Software. 2011, 26(4-5), pp. 617-642. ISSN 1055-6788. Available under: doi: 10.1080/10556788.2011.582112
BibTex
@article{Lass2011Space-18556,
  year={2011},
  doi={10.1080/10556788.2011.582112},
  title={Space mapping techniques for a structural optimization problem governed by the p : Laplace equation},
  number={4-5},
  volume={26},
  issn={1055-6788},
  journal={Optimization Methods and Software},
  pages={617--642},
  author={Lass, Oliver and Posch, C. and Scharrer, Georg and Volkwein, Stefan}
}
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