An Optimum Design Problem in Magnetostatics
Antoine Henrot, Grégory Villemin · ESAIM Mathematical Modelling and Numerical Analysis · 2002
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.