Aspects of Coupled Problems in Computational Electromagnetics Formulations

TL;DR

This paper reviews various coupled modeling approaches in computational electromagnetics, analyzing their theoretical properties and practical applications in complex scenarios like electromagnetic compatibility, biological dosimetry, and power transmission.

Contribution

It provides a comprehensive analysis of coupled formulations, discussing their accuracy, stability, and efficiency, with examples from real-world electromagnetic problems.

Findings

Coupled formulations improve modeling accuracy in complex electromagnetic scenarios.

Different approaches have specific advantages and disadvantages in stability and efficiency.

Numerical testing demonstrates the applicability of coupled methods in practical problems.

Abstract

This paper addresses different aspects of "coupled" model descriptions in computational electromagnetics. This includes domain decomposition, multiscale problems, multiple or hybrid discrete field formulation and multi-physics problems. Theoretical issues of accuracy, stability and numerical efficiency of the resulting formulations are addressed along with advantages and disadvantages of the various approaches. Examples for multi-method, multi-domain, multi-formulation and multi-physics coupled formulations stem from numerical testing of electromagnetic compatibility in complex scenarios and numerical dosimetry of biological organisms in electromagnetic exposure situations and from simulations of large systems in electromagnetic power transmission.