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Determination of a material constant in the impedance boundary condition for electromagnetic fields
Authors:Viera Zemanová  ,Mariá  n Slodi?ka
Affiliation:a Department of Mathematical Analysis, Ghent University, Galglaan 2, 9000 Ghent, Belgium
b Department Electrical Energy, Systems and Automation, Ghent University, Sint-Pietersnieuwstraat 41, 9000 Ghent, Belgium
Abstract:We study a recovery problem for an unknown boundary data at the boundary part View the MathML source in static electromagnetism. Our computational area is a bounded domain ΩRn with a Lipschitz continuous boundary. The problem for determining the coefficient λ is considered. This coefficient represents one of the ferromagnetic material characteristics occupying this domain. The existence and uniqueness of a weak solution are proved and a numerical method for its recovery is supported by numerical experiments.
Keywords:Inverse problem   Electromagnetism   Impedance boundary condition
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