Robust and high-order effective boundary conditions for perfectly conducting scatterers coated by a thin dielectric layer |
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Authors: | Bartoli, Nathalie Bendali, Abderrahmane |
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Affiliation: | 1 UMR MIP INSA-CNRS-UPS, Insa de Toulouse, Département de Génie Mathématique, Toulouse, France and CERFACS, Toulouse, France |
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Abstract: | A new approach is considered to construct effective boundaryconditions for the solution of problems related to the scatteringof electromagnetic waves by perfectly conducting cylinders coatedby a thin dielectric shell. These boundary conditions aim tobe both robust and of high order while remaining set in termsof surface differential operators involving at most second-orderderivatives. Error estimates yield a theoretical basis for theuse of these boundary conditions in practical computations.Some numerical experiments at frequencies beyond the range ofvalidity of the usual impedance boundary conditions validatethe efficiency of the approach. |
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Keywords: | electromagnetic scattering thin coating effective boundary conditions boundary elements. |
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