Quantifying the effects on electromagnetic waves scattered by objects of uncertain shape is key for robust design, particularly in high precision applications. Assuming small random perturbations departing from a nominal domain, the first-order sparse boundary element method (FOSB) has been proven to directly compute statistical moments with poly-logarithmic complexity for a prescribed accuracy, without resorting to computationally intense Monte Carlo simulations. However, implementing the FOSB is not straightforward. To this end, we introduce an easy-to-use with open-source framework to directly apply the technique when dealing with complex objects. Exhaustive computational experiments confirm our claims and demonstrate the technique's applicability as well as provide pathways for further improvement.

翻译：量化不确定形状物体散射电磁波的影响是实现稳健设计的关键，特别是在高精度应用中。假设名义域存在微小随机扰动，一阶稀疏边界元法（FOSB）已被证明能够直接计算统计矩，且对于给定精度具有多对数复杂度，无需依赖计算密集的蒙特卡洛模拟。然而，FOSB的实现并非易事。为此，我们提出一个易于使用的开源框架，以便在处理复杂物体时直接应用该技术。详尽的计算实验证实了我们的主张，展示了该技术的适用性，并为后续改进提供了途径。