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

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.