Speaker: Zhang Qiang, Nanjing University
Place: Room 1518，School of Mathematical
Detail: 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
generalized upwind numerical flux and generalized alternating numerical fluxes
are used together, where the generalized Gauss-Radau (GGR) projection plays the
important role. More difficult 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.
School of Mathematical Sciences