Higher Order Impedance Boundary Condition with Integral Method for the Scattering Problem in Electromagnetism

Christian Daveau (1) , Molka Kacem (2, 1) , Soumaya Oueslati (2, 1) , Stefan Bornhofen (3) , Brice Naisseline (2, 1)

1 AGM - UMR 8088 - Analyse, Géométrie et Modélisation
2 CY - CY Cergy Paris Université
3 ETIS - UMR 8051 - Equipes Traitement de l'Information et Systèmes

In this paper, we implement the high order boundary condition (HOIBC) in the integral equations to solve the scattering problem. We study the HOIBC operators that appear in the boundary integral equations and we propose a discretization of these operators in spaces H(div) and H(curl). Then, we give validations of the HOIBC by calculating the radar cross section (RCS), that show the improvement in accuracy over the standard impedance boundary condition (SIBC). The computation code implements the H-matrix approach with Adaptive Cross Approximation (ACA) and MPI parallelization.

Domaines: Analyse numérique [math.NA]

Christian Daveau, Molka Kacem, Soumaya Oueslati, Stefan Bornhofen, Brice Naisseline. Higher Order Impedance Boundary Condition with Integral Method for the Scattering Problem in Electromagnetism. 2022. ⟨hal-03684581⟩