报告题目：Stability analysis of Runge-Kutta discontinuous Galerkin methods for two-dimensional hyperbolic equations
报告人：张强 南京大学
报告时间：9月24日（周二）15:30
报告地点：教2-327
主办单位：南京邮电大学理学院
邀请人：王海金
报告内容：In this talk, we shall present the L2-norm stability analysis of the Runge-Kutta discontinuous Galerkin (RKDG) methods on rectangle meshes when solving a linear constant coefficient hyperbolic equation, where the matrix transferring process based on temporal differences of stage solutions still plays an important role to achieve a nice energy equation for carrying out the energy analysis. This extension looks easy for most cases; however, there are a few troubles to obtaining good stability results under a standard CFL condition, especially for those Qk -elements with lower degree k as that stated in one-dimensional case. This difficulty can be addressed by making full use of the commutative property of the spatial DG derivative operators along two directions and set up a new proof line to accomplish the purpose.
报告人简介：张强，1989年就读于南开大学数学系，直至1999年博士毕业留校；2000-2002年在中国科学技术大学数学系博士后；2008年至今，南京大学数学系教授。近年来一直从事偏微分方程数值方法研究，特别是间断有限元全离散格式的理论分析和实际应⽤。主持和参与多项国家自然科学基金项目，在SIAM Journal on Numerical Analysis，Mathematics of Computation，Numerische Mathematik等计算数学重要期刊发表学术论文50多篇。