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.

翻译：本条考虑了保护法的一个新的分解计划。 分解设置基于不连续的Galerkin计划, 加上包含高阶多元模式和子网格上小块常数模式的近似空间。 高阶模式可以不断被抑制, 惩罚功能以传感器为基础, 传感器与近似空间交织在一起。 数字测试最终证明了这个计划的效果 。