An Optimum Design Problem in Magnetostatics
École des Mines de Nancy and Institut
Elie Cartan, BP 239 54506 Vandœuvre-lès-Nancy, France. email@example.com.
2 Centre de Recherche Valeo - Systèmes d'essuyage, Z.A. de l'Agiot, 78231 La Verrière, France. firstname.lastname@example.org.
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