An Optimum Design Problem in Magnetostatics
Antoine Henrot, Grégory Villemin (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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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.