A generalized transition matrix (GTM) model combined with discontinuous Galerkin (DG) method is proposed to analyze the scattering problems of open-ended cavities. A virtual reference surface is put to seal the opening of an open cavity and can separate it into an exterior region and an interior region. By mapping the scattering properties of the internal components onto the reference surface, the information interaction of the GTM model occurs on the reference surface only. With its features of nonconformal meshes at the boundary, the DG method makes the model feasible and accurate regardless of the normal continuity of the surface current at the transitional interface. The GTM model is independent of the exterior structure of the cavity and the external fields. The computational cost can be significantly decreased when the GTM model with the identical inner region is reused. Numerical examples demonstrate good precision and efficiency of the presented method.

中文翻译：

---

结合间断伽辽金法的开腔广义转移矩阵模型


提出了一种结合不连续伽辽金（DG）方法的广义转移矩阵（GTM）模型来分析开放腔的散射问题。放置虚拟参考面来密封开放腔体的开口，并且可以将其分为外部区域和内部区域。通过将内部组件的散射特性映射到参考表面上，GTM模型的信息交互仅发生在参考表面上。 DG 方法凭借其边界处非共形网格的特点，无论过渡界面处表面电流的法向连续性如何，都使模型可行且准确。 GTM模型独立于腔的外部结构和外部场。当重复使用具有相同内部区域的GTM模型时，可以显着降低计算成本。数值例子证明了该方法具有良好的精度和效率。