no. 2
An optimum design problem in magnetostatics
ESAIM: Modélisation mathématique et analyse numérique, Tome 36 (2002) no. 2, pp. 223-239

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.

DOI : 10.1051/m2an:2002012
Classification : 49J20, 49Q10, 65K10, 78A30
Keywords: shape optimization, optimum design, magnet, numerical examples 
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Henrot, Antoine; Villemin, Grégory. An optimum design problem in magnetostatics. ESAIM: Modélisation mathématique et analyse numérique, Tome 36 (2002) no. 2, pp. 223-239. doi: 10.1051/m2an:2002012

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