A new variational formulation with high order impedance boundary condition for the scattering problem in electromagnetism

2021/06/07 by Soumaya Oueslati, Oueslati, Soumaya, Christian Daveau +3
Engineering · Physics and Astronomy · #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering

paper · pdf · doi:10.48550/arxiv.2106.03486

openalex publication_date 2021/06/07 · openalex created_date 2021/06/22 · openalex updated_date 2026/07/28

Abstract

In this paper, we propose some variational formulations with the use of high order impedance boundary condition (HOIBC) to solve the scattering problem. We study the existence and uniqueness of the solution. Then, a discretization of these formulations is done. We give validations of the HOIBC obtained with a MoM code that show the improvement in accuracy over the standard impedance boundary condition (SIBC) computations.

Related

• High Order Impedance Boundary Condition for the Three-dimensional Scattering Problem in Electromagnetism
• The electromagnetic scattering problem with Generalized Impedance Boundary Conditions
• Construction and analysis of approximate models for electromagnetic scattering from imperfectly conducting scatterers
• An extended charge-current formulation of the electromagnetic\n transmission problem
• Boundary Element Procedure for 3D Electromagnetic Transmission Problems with Large Conductivity