This work focuses on the preconditioning and DC stabilization of the time domain electric field integral equation discretized in time with the convolution quadrature method. The standard formulation of the equation suffers from severe ill-conditioning for large time steps and refined meshes, in addition to DC instabilities plaguing standard solutions for late time steps. This work addresses all these issues by preconditioning the TD-EFIE operator matrices with a Calder\'on approach. Numerical results will corroborate the theory, showing the practical relevance of the proposed advancements.

翻译：本文聚焦于采用卷积求积方法进行时间离散的时域电场积分方程的预条件与直流稳定性问题。标准方程形式在大时间步长和精细网格条件下存在严重病态性，同时直流不稳定性困扰着后期时间步长的标准解。本文通过Calderón方法对TD-EFIE算子矩阵进行预条件处理，解决了上述所有问题。数值结果将验证理论分析，并展示所提改进方法的实际应用价值。