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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.
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.
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