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

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Publication date: 1 February 2023

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.

Has companion code repository: https://github.com/MelinaMerkel/low-frequency-stabilization-benchmark

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