Analytical method for the evaluation of singular integrals arising from boundary element method in electromagnetism

Soumaya Oueslati , Imen Balloumi , Christian Daveau (1) , Abdessatar Khelifi

1 AGM - UMR 8088 - Analyse, Géométrie et Modélisation

In the framework solving electromagnetic scattering problems with a Leontovich impedance boundary condition (LIBC), the numerical resolution requires the evaluation of singular integrals appearing in the discretization of the variational formulation. Our main interest is to pricisely evaluate these integrals. Thus, we propose an analytic method to approximate it. The performance of this method will be evaluated by calculating the radar cross section (RCS). Then, we compare RCS to the Mie series solution for the unit sphere in various configurations.

Mots clés: Maxwell equations; boundary integral equations; singular integral; homogeneous functions AMS Subject Classification:

Domaines: Mathématiques [math]

Soumaya Oueslati, Imen Balloumi, Christian Daveau, Abdessatar Khelifi. Analytical method for the evaluation of singular integrals arising from boundary element method in electromagnetism. International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, 2020. ⟨hal-03684710⟩