Systems of Differential Algebraic Equations in Computational Electromagnetics
Numerical Analysis
2019-04-09 v3 Computational Physics
Abstract
Starting from space-discretisation of Maxwell's equations, various classical formulations are proposed for the simulation of electromagnetic fields. They differ in the phenomena considered as well as in the variables chosen for discretisation. This contribution presents a literature survey of the most common approximations and formulations with a focus on their structural properties. The differential-algebraic character is discussed and quantified by the differential index concept.
Cite
@article{arxiv.1802.06673,
title = {Systems of Differential Algebraic Equations in Computational Electromagnetics},
author = {Idoia Cortes Garcia and Sebastian Schöps and Herbert De Gersem and Sascha Baumanns},
journal= {arXiv preprint arXiv:1802.06673},
year = {2019}
}