报告人：郭维助理教授

 美国Texas Tech University

题目：A Sparse Grid Discontinuous Galerkin Method for High-Dimensional Transport Equations with Application to Kinetic Simulations

时间：2018年06月26日上午10:00

地点：海韵数理楼661

摘要：In this talk, we present a sparse grid discontinuous Galerkin (DG) scheme for transport equations with application to kinetic simulations. The method uses the weak formulations of traditional Runge-Kutta DG schemes for hyperbolic problems and is proven to be $L^2$ stable and convergent. A major advantage of the scheme lies in its low computational and storage cost due to the employed sparse finite element approximation space. This attractive feature is explored in simulating linear and nonlinear transport problems including Vlasov-Maxwell/Poisson system. Good performance in accuracy and conservation is verified by numerical tests in up to four dimensions. This is joint work with Dr. Yingda cheng and Dr. Zhanjing Tao from Michigan State University.

报告人简介：郭维，2007年本科毕业于南京大学，2014年博士毕业于美国休斯顿大学，随后在美国密歇根州立大学做博士后研究。2017年至今在美国德州理工大学任助理教授。研究领域为计算流体数学。

联系人:邱建贤教授欢迎广大师生参加！