An effective interface formulation for electromagnetic shielding using the A-formulation in 3D

Abstract

Purpose: The purpose of this paper is to present an effective material approach to simulate electromagnetic shields using the A-Formulation in a fully 3D setting with nonlinear materials in the frequency domain. It allows to treat the shield as an interface in the finite element mesh so that only the magnetic vector potential in the surrounding air has to be considered for the solution. Design/methodology/approach: The jump of the tangential components of the potential across the interface is controlled by an effective material parameter based on a suitable cell problem. This parameter can be efficiently interpolated from a precomputed look-up table. Findings: The method is able to consider curved shields and holes. A numerical example shows an excellent agreement of the presented method compared to a reference solution both in a global and a local sense. Originality/value: A novel effective material approach based on numerical solutions of a suitable nonlinear cell problem is presented.