In this contribution we analyze the spectral properties of some commonly used boundary integral operators in computational electromagnetics and of their discrete counterparts, highlighting peculiar features of their spectra. In particular, a comparison with the eigenvalues of the continuous operators will be presented that highlights deviations in the high frequency regime and impacts, in a peculiar way, the accuracy of the numerical solutions of each formulation. A study and a proactive analysis of numerical results from standard boundary element solvers and the predictions from the theoretical analysis will corroborate the analytical framework employed and the validity of our observations.

翻译：本文分析了计算电磁学中常用边界积分算子及其离散对应物的谱特性，重点探讨了其谱的特殊性质。特别地，通过与连续算子特征值的比较，揭示了高频区域内的偏差及其对各数值求解格式精度的独特影响。基于标准边界元求解器的数值结果研究与前瞻性分析，以及理论分析的预测，将共同验证所采用分析框架的有效性及我们观测结果的正确性。