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3D finite element formulations for scattering problems in unbounded space are presented. Absorbing boundary conditions deduced from Sommerfeld radiation boundary condition and Bayliss-Turkel radiation boundary condition are joined to Maxwell's equations. The variational formulation is discretized with H(curl) finite elements (edge elements) and leads to symmetric matrices for which a diagonal preconditioned bi conjugate gradient (PBCG) is used. The numerical method is tested in the scattering by a perfectly conducting sphere.>
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Belhora et al. (1995) studied this question.
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