报告人:张强  南京大学

报告时间：6月5日  下午3:30-4:30

报告地点：1518

摘要：

In this talk we present some results about the local discontinuous Galerkin(LDG) methods when solving the time-dependent convection diffusion equations.We focus on the optimal L2-norm error estimates when the generalizedupwind numerical flux and generalized alternating numerical fluxes are usedtogether, where the generalized Gauss-Radau (GGR) projection plays theimportant role. More difficult than the case in the global estimate, we haveto establish a more deep investigation on the GGR projection and understandits global essence, in order to obtain the double-optimal local L2-norm errorestimate of LDG method when solving the singularity perturbation problem.Different time-marching techniques are considered also, such as the explicitRunge-Kutta algorithm and explicit-implicit Runge-Kutta algorithm.