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

报 告 人：付培

工作单位：南京航空航天大学

报告时间：2023-06-08  10:30-12:30

腾讯会议ID： 553-743-115

报告摘要：This talk will present a family of high order cut discontinuous Galerkin (DG) methods for hyperbolic conservation laws with an interface in both one and two space dimensions, and for moving interfaces in one space dimension. Interface conditions are imposed weakly and so that both conservation and stability are ensured. A CutFEM with discontinuous elements in space is developed and coupled to standard explicit time stepping schemes for linear advection problems and the acoustic wave problem with stationary interfaces. In the case of moving interfaces, we propose a space-time CutFEM based on discontinuous elements both in space and time for linear advection problems. We show that the proposed CutFEM are conservative and energy stable. For the stationary interface case an a priori error estimate is proven. Numerical computations in both one and two space dimensions support the analysis, and in addition demonstrate that the proposed methods have the expected accuracy.

报告人简介：

付培，南京航空航天大学数学学院副研究员; 2018年在中国科学技术大学获得博士学位，2019.03-2022.09月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。