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.

翻译：在模拟阻容电路或电准静态问题（其中导体与绝缘体共存）时，较大的时间步长或低频会导致数值不稳定性，这种现象与系统矩阵的条件数相关。本文通过对方程组进行缩放处理，提出了多种稳定化公式。该方法可实现极低频率（甚至静态情况）或大时间步长下解的可靠计算。数值实验验证了相关结论。