Low-Frequency Stabilization of Dielectric Simulation Problems with Conductors and Insulators
Computational Engineering, Finance, and Science
2023-02-02 v1 Numerical Analysis
Numerical Analysis
Abstract
When simulating resistive-capacitive circuits or electroquasistatic problems where conductors and insulators coexist, one observes that large time steps or low frequencies lead to numerical instabilities, which are related to the condition number of the system matrix. Here, we propose several stable formulations by scaling the equation systems. This enables a reliable calculation of solutions for very low frequencies (even for the static case), or large time steps. Numerical experiments underline the findings.
Cite
@article{arxiv.2302.00313,
title = {Low-Frequency Stabilization of Dielectric Simulation Problems with Conductors and Insulators},
author = {Devin Balian and Melina Merkel and Jörg Ostrowski and Herbert De Gersem and Sebastian Schöps},
journal= {arXiv preprint arXiv:2302.00313},
year = {2023}
}