Determination of a material constant in the impedance boundary condition for electromagnetic fields |
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Authors: | Viera Zemanová ,Mariá n Slodi?ka |
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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 |
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Abstract: | We study a recovery problem for an unknown boundary data at the boundary part in static electromagnetism. Our computational area is a bounded domain Ω⊂Rn 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. |
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Keywords: | Inverse problem Electromagnetism Impedance boundary condition |
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