We analyze a space-time hybridizable discontinuous Galerkin method to solve the time-dependent advection-diffusion equation on deforming domains. We prove stability of the discretization in the advection-dominated regime by using weighted test functions and derive a priori space-time error estimates. A numerical example illustrates the theoretical results.

翻译：我们分析了一种用于求解随形域上含时对流扩散方程的时空混合间断伽辽金方法。通过采用加权试验函数，我们证明了该离散格式在对流主导区域下的稳定性，并导出了先验时空误差估计。数值算例验证了理论结果。