理学论坛第二百三十七次学术活动(张强报告)

发布时间:2024-09-19浏览次数:10

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:yl60000永利官网

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。


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