标题： 一种使用混合高阶和子网格低阶近似空间的间断伽辽金方法用于激波捕捉 显示英文标题

标题： A Discontinuous Galerkin method for Shock Capturing using a mixed high-order and sub-grid low-order approximation space

摘要： 本文考虑了一种用于守恒定律的新离散化方案。 离散化设置基于不连续伽辽金方案，并结合了一个包含高阶多项式模式以及子网格上的分段常数模式的近似空间。 高阶模式可以通过基于与近似空间交织的传感器的惩罚函数连续地被抑制。 数值测试最终展示了该方案的性能。 显示英文摘要

摘要： This article considers a new discretization scheme for conservation laws. The discretization setting is based on a discontinuous Galerkin scheme in combination with an approximation space that contains high-order polynomial modes as well as piece-wise constant modes on a sub-grid. The high-order modes can continuously be suppressed with a penalty function that is based on a sensor which is intertwined with the approximation space. Numerical tests finally illustrate the performance of this scheme.