TY - JOUR T1 - Boundary Element Method with High Order Impedance Boundary Conditions in Electromagnetics AU - Daveau , Christian AU - Aubkirov , Abil AU - Soudais , Paul JO - International Journal of Numerical Analysis and Modeling VL - 4 SP - 458 EP - 486 PY - 2022 DA - 2022/06 SN - 19 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/20655.html KW - Boundary element method, scattering problem, high order impedance boundary condition. AB -

In this paper, we study boundary element method with high order impedance boundary conditions (HOIBC) to solve Maxwell’s equations. The unknowns are electric and magnetic currents $\mathbf{J}$ and $\mathbf{M}.$ We propose several formulations and study the existence and uniqueness of the solution. Then, we discretize these formulations with a finite element method based on Lagrange elements. We give numerical tests of the HOIBC solution.