| Issue |
ESAIM: M2AN
Volume 36, Number 2, March/April 2002
|
|
|---|---|---|
| Page(s) | 223 - 239 | |
| DOI | https://doi.org/10.1051/m2an:2002012 | |
| Published online | 15 May 2002 | |
An Optimum Design Problem in Magnetostatics
1
École des Mines de Nancy and Institut
Elie Cartan, BP 239 54506 Vandœuvre-lès-Nancy, France. henrot@iecn.u-nancy.fr.
2
Centre de Recherche Valeo -
Systèmes d'essuyage, Z.A. de l'Agiot,
78231 La Verrière, France. gregory.villemin@valeo.com.
Received:
17
April
2001
Revised:
11
October
2001
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.
Mathematics Subject Classification: 49J20 / 49Q10 / 65K10 / 78A30
Key words: Shape optimization / optimum design / magnet / numerical examples.
© EDP Sciences, SMAI, 2002
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