Résumé en anglais

We address the derivation of new second-kind combined field integral equations for the Krylov iterative solution of high-frequency electromagnetic scattering problems by a perfect conductor. The proposed formulations extend the well-known Brakhage-Werner and Combined Field Integral Equations and improve the convergence properties of their numerical solution through a Krylov iterative method. We prove that these integral equations are well-posed for any frequency. Preliminary experiments with spherical harmonics in the case of a spherical scatterer illustrate the good behavior of a Krylov iterative solver used for computing the solution of these new integral equations relatively to an increase of the frequency or/and to the presence of a large number of vectorial spherical harmonics.