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In this paper we study a free boundary problem appearing in electromagnetism and its numerical approximation by means of boundary integral methods. Once the problem is written in a equivalent integro-differential form, with the arc parametrization of the boundary as unknown, we analyse it in this new setting. Then we consider Galerkin and collocation methods with trigonometric polynomial and spline curves as approximate solutions.
In this paper we study a free boundary problem appearing in
electromagnetism and its numerical approximation by means of
boundary integral methods. Once the problem is written in a
equivalent integro-differential form, with the arc
parametrization of the boundary as unknown, we analyse it in
this new setting. Then we consider Galerkin and collocation
methods with trigonometric polynomial and spline curves as
approximate solutions.
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