BIMSA >
计算和应用数学讨论班
An essentially oscillation-free discontinuous Galerkin method for hyperbolic systems
An essentially oscillation-free discontinuous Galerkin method for hyperbolic systems
组织者
杜洁
, Computational & Applied Mathematics Group
, 蔚辉
演讲者
刘勇
时间
2021年11月19日 08:00 至 09:00
线上
Tencent 829 760 836
()
摘要
In this talk, we introduce an essentially oscillation-free discontinuous Galerkin (OFDG) method for systems of hyperbolic conservation laws. Based on the standard discontinuous Galerkin (DG) method, the numerical damping terms are introduced so as to control the spurious oscillations. We use both the classical Runge-Kutta method and the modified exponential Runge-Kutta method in time discretization. Particularly,the latter one could avoid additional restrictions of time step size due to the numerical damping. Extensive numerical experiments are shown to demonstrate our algorithm is robust and effective.
演讲者介绍
中国科学院数学与系统科学研究院，华罗庚数学中心博士后。分别于2015年，2020年获中国科学技术大学学士和博士学位。2018年--2020年在美国布朗大学应用数学系联合培养。主要研究领域为高精度数值计算方法，包括间断有限元方法的算法设计及其数值分析、磁流体力学方程的数值模拟及应用等方面。在SIAM Journal on Numerical Analysis, Journal of Computational Physics, Journal of Scientific Computing 等杂志发表论文10余篇。