标题： 阻尼时谐Galerkin方程的混合不连续Galerkin离散化 显示英文标题

标题： Hybrid discontinuous Galerkin discretizations for the damped time-harmonic Galbrun's equation

摘要： 在本文中，我们考虑阻尼时间谐波 Galbrun 方程，该方程用于模拟太阳和恒星振荡。 我们引入并分析了混合不连续伽辽金离散化方法，该方法对于任何大于或等于一的多项式次数都是稳定且收敛的，并且在计算上比不连续伽辽金离散化更高效。 此外，这些方法在恒星中系数幅度发生剧烈变化的情况下也是稳定的。 该分析基于离散逼近方案和弱 T 兼容性的概念，该概念利用了方程的弱 T 一致性结构。 显示英文摘要

摘要： In this article, we consider the damped time-harmonic Galbrun's equation which models solar and stellar oscillations. We introduce and analyze hybrid discontinuous Galerkin discretizations, which are stable and convergent for any polynomial degree greater or equal than one and are computationally more efficient than discontinuous Galerkin discretizations. Additionally, the methods are stable with respect to the drastic changes in the magnitude of the coefficients occurring in stars. The analysis is based on the concept of discrete approximation schemes and weak T-compatibility, which exploits the weakly T-coercive structure of the equation.