An efficient full-wave solver for eddy currents
Journal article, 2022

An integral equation reformulation of the Maxwell transmission problem is presented. The reformulation uses techniques such as tuning of free parameters and augmentation of close-to-rank-deficient operators. It is designed for the eddy current regime and works both for surfaces of genus 0 and 1. Well-conditioned systems and field representations are obtained despite the Maxwell transmission problem being ill-conditioned for genus 1 surfaces due to the presence of Neumann eigenfields. Furthermore, it is shown that these eigenfields, for ordinary conductors in the eddy current regime, are different from the classical Neumann eigenfields for superconductors. Numerical examples, based on the reformulation, give an unprecedented 13-digit accuracy both for transmitted and scattered fields.

Maxwell transmission problem

Eddy current

Neumann eigenfield

Boundary integral equation

Low-frequency breakdown

Author

Johan Helsing

Lund University

Anders Karlsson

Lund University

Andreas Rosén

Chalmers, Mathematical Sciences, Analysis and Probability Theory

University of Gothenburg

Computers and Mathematics with Applications

0898-1221 (ISSN)

Vol. 128 145-162

Subject Categories

Computational Mathematics

Mathematical Analysis

Other Electrical Engineering, Electronic Engineering, Information Engineering

DOI

10.1016/j.camwa.2022.10.018

More information

Latest update

10/26/2023