Determination of a material constant in the impedance boundary condition for electromagnetic fields

We study a recovery problem for an unknown boundary data at the boundary part Γnon in static electromagnetism. We work in a bounded domain Ω ⊂ Rn with a Lipschitz continuous boundary. We consider a problem of determining the coefficient λ. This coefficient represents one of the ferromagnetic material characteristics occupying this domain. The existence and uniqueness of a weak solution is proved and a numerical method for its recovery is supported by numerical experiments.