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An Optimum Design Problem in Magnetostatics

Published online by Cambridge University Press:  15 May 2002

Antoine Henrot  and
Grégory Villemin
Antoine Henrot
Affiliation:
École des Mines de Nancy and Institut Elie Cartan, BP 239 54506 Vandœuvre-lès-Nancy, France. henrot@iecn.u-nancy.fr.
Grégory Villemin
Affiliation:
Centre de Recherche Valeo - Systèmes d'essuyage, Z.A. de l'Agiot, 78231 La Verrière, France. gregory.villemin@valeo.com.
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Abstract

In this paper, we are interested in finding the optimal shape of a magnet. The criterion to maximize is the jump of the electromagnetic field between two different configurations. We prove existence of an optimal shape into a natural class of domains. We introduce a quasi-Newton type algorithm which moves the boundary. This method is very efficient to improve an initial shape. We give some numerical results.

Keywords

Shape optimizationoptimum designmagnetnumerical examples.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 36 , Issue 2 , March 2002 , pp. 223 - 239
Copyright
© EDP Sciences, SMAI, 2002

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