Integral-equation-based fast direct solvers for electromagnetic scattering can substantially reduce computational costs, especially in the presence of multiple excitations. We recently proposed a new high-frequency fast direct solver strategy that combines preconditioning techniques with acceleration algorithms. However, the validity of this approach applied to non-canonical geometries requires further justification. In this contribution, we collect relevant semiclassical microlocal results and use them to assess the legitimacy and effectiveness of the proposed fast direct solver in the high-frequency regime.

翻译：基于积分方程的电磁散射快速直接求解器可显著降低计算成本，尤其在存在多激励源的情况下。我们近期提出了一种新的高频快速直接求解策略，该策略将预处理技术与加速算法相结合。然而，该方法应用于非规范几何时的有效性仍需进一步论证。本文汇集了相关的半经典微局部分析结果，并利用这些结果评估了所提快速直接求解器在高频区域下的合理性与有效性。