报告题目:High order cut discontinuous Galerkin methods for hyperbolic conservation laws

报告人：付培 （南京航空航天大学）

报告时间：11月8日14:00-15:00

地点：https://meeting.tencent.com/dm/6sNuHdhqidHk

摘要：In this talk, we will present a family of high order cut discontinuous Galerkin (DG) methods for hyperbolic conservation laws with/without interface on the cut mesh. To avoid the small cut cell problem, the ghost penalty stabilization is applied to stabilize the scheme. The strong stability preserving Runge-Kutta method is used for time discretization and the time step is independent of the size of cut element. We analyzed that our proposed methods have similar stability and accuracy properties as the usual DG methods on a regular mesh. We studied the problems with stationary interface or moving interface where the stability, conservation and error estimate of the cut DG method will be shown. Numerical examples demonstrate that the cut DG methods are high order accurate for smooth problems and perform well for discontinuous problems.

报告人简介：

付培，南京航空航天大学数学学院上岗副研究员；2018年在我校获得博士学位，2019年到2022年在瑞典乌普萨拉大学从事博士后研究；主要研究工作是针对双曲守恒律方程的保结构的间断有限元方法，在SIAM Journal on Scientific Computing、Mathematics of Computation、Journal of Computational Physics等杂志发表了相关工作。