Recent contributions showed the benefits of operator filtering for both preconditioning and fast solution strategies. While previous contributions leveraged laplacian-based filters, in this work we introduce and study a different approach leveraging the truncation of appropriately chosen spectral representations of operators' kernels. In this contribution, the technique is applied to the operators of the 2D TE- and TM-electric field integral equations (EFIE). We explore two different spectral representations for the 2D Green's function that lead to two distinct types of filtering of the EFIE operators. Numerical results corroborate the effectiveness of the newly proposed approaches, also in the Calder\'on preconditioned EFIE

翻译：近期研究表明，算子滤波在预处理和快速求解策略中具有显著优势。以往研究主要采用基于拉普拉斯算子的滤波方法，本文则提出并研究了一种不同思路——通过截断算子核函数中适当选取的谱表示来实现滤波。我们将该技术应用于二维横电/横磁场积分方程算子，针对二维格林函数探索了两种不同的谱表示形式，由此衍生出两种不同的电场积分方程算子滤波方法。数值结果验证了新方法在卡尔德隆预条件电场积分方程中的有效性。