Cahiers du CEREMADE 

Unité
Mixte de Recherche du C.N.R.S. N°7534 

Abstract : We address the derivation of new secondkind combined field integral equations for the Krylov
iterative solution of highfrequency electromagnetic scattering problems by a perfect conductor.
The proposed formulations extend the wellknown BrakhageWerner 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 wellposed 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.






200615 

28022006 

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