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H. Ammari (1)
|(1)||Centre de Mathematiques Appliquees, CNRS URA 756, Ecole Polytechnique, 91128 Palaiseau Cedex, France.|
Abstract : The limiting behavior of the unique solution to the scattering problem for the Maxwell equations with a Leontovich boundary condition in an inhomogeneous medium as the impedance goes to zero is investigated. Making use of a Hodge decomposition lemma, it is shown that the Leontovich boundary condition leads to a singular perturbation problem for only the scalar unknown in the Hodge decomposition of the magnetic field. The use of higher order finite elements is then necessary to achieve a sufficient a ccuracy of this quantity.
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