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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 shapeof a magnet. The criterion to maximize is the jump of theelectromagnetic field between two different configurations.We prove existence of an optimal shape into a natural classof domains. We introduce a quasi-Newton type algorithm whichmoves the boundary. This method is very efficient to improvean 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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