学术报告报告主题: High order cut discontinuous Galerkin methods for hyperbolic conservation laws with an interface
报 告 人: 付培副研究员（南京航空航天大学）
报告时间： 2023年11月14日（星期二）下午 15:00-16:00
报告地点： 37号楼 3A02
邀 请 人: 谷亚光副教授
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数学学院
2023年11月10日
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.
报告人介绍：
付培副教授博士毕业于中国科学技术大学数学科学学院，毕业后在瑞典乌普萨拉大学从事博士后研究工作，目前为南京航空航天大学数学学院副研究员，研究领域为计算流体力学，在Math. Comput, SIAM J. Sci. Comput., J. Comput. Phys., J. Sci. Comput. 等国际知名杂志发表多篇科研论文，主持国家、省级自然科学基金青年项目。