报告题目：Applications of generalized Gauss-Radau projections for the local discontinuous Galerkin method when solving convection diffusion equations

报告人：张强教授，南京大学数学学院

时间：2017年7月7日 16:00-17:00

地点：知新楼B座1032

摘要：In this talk we present some results about the local discontinuous Galerkin (LDG) methods when solving the time-dependent convection diffusion equa-tions. We focus on the optimal L²-norm error estimates when the generalized upwind numerical flux and generalized alternating numerical fluxes are used together, where the generalized Gauss-Radau (GGR) projection plays the important role. More diffcult than the case in the global estimate, we have to establish a more deep investigation on the GGR projection and understand its global essence, in order to obtain the double-optimal local L²-norm error estimate of LDG method when solving the singularity perturbation problem. Different time-marching techniques are considered also, such as the explicit Runge-Kutta algorithm and explicit-implicit Runge-Kutta algorithm.