Boundary Element Method with High Order Impedance Boundary Conditions in Electromagnetics

Boundary Element Method with High Order Impedance Boundary Conditions in Electromagnetics

Year:    2022

Author:    Christian Daveau, Abil Aubkirov, Paul Soudais

International Journal of Numerical Analysis and Modeling, Vol. 19 (2022), Iss. 4 : pp. 458–486

Abstract

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2022-IJNAM-20655

International Journal of Numerical Analysis and Modeling, Vol. 19 (2022), Iss. 4 : pp. 458–486

Published online:    2022-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    29

Keywords:    Boundary element method scattering problem high order impedance boundary condition.

Author Details

Christian Daveau

Abil Aubkirov

Paul Soudais