Low-Frequency Stabilization of Dielectric Simulation Problems with Conductors and Insulators

2023/02/01 by Devin Balian, Melina Merkel, Balian, Devin +7 · 1 citation
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #78-10 #Computational Engineering #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #FOS: Computer and information sciences #FOS: Mathematics #Finance #G.1.8 #Geophysical and Geoelectrical Methods #J.6 #Numerical Analysis (math.NA) #and Science (cs.CE)

paper · pdf · doi:10.48550/arxiv.2302.00313

openalex publication_date 2023/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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.

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