We study the stability and sensitivity of an absorbing layer for the Boltzmann equation by examining the Bhatnagar-Gross-Krook (BGK) approximation and using the perfectly matched layer (PML) technique. To ensure stability, we discard some parameters in the model and calculate the total sensitivity indices of the remaining parameters using the ANOVA expansion of multivariate functions. We conduct extensive numerical experiments to study stability and compute the total sensitivity indices, which allow us to identify the essential parameters of the model.

翻译：我们通过研究Bhatnagar-Gross-Krook (BGK)近似并采用完美匹配层 (PML)技术，探讨了玻尔兹曼方程吸收层的稳定性与敏感性。为确保稳定性，我们舍弃了模型中的部分参数，并利用多元函数的ANOVA展开计算剩余参数的总敏感性指标。通过开展大量数值实验研究稳定性并计算总敏感性指标，我们成功识别出模型的关键参数。