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