Some Optimal Error Estimates of Local Discontinuous Galerkin Method when Solving Convection Diffusion Equations-University of Science and Technology of China

Some Optimal Error Estimates of Local Discontinuous Galerkin Method when Solving Convection Diffusion Equations

Date：2017-06-05

Speaker: Zhang Qiang, Nanjing University

Time:2017-06-05 15:30-16:30

Place: Room 1518，School of Mathematical Sciences

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.

Organizer: School of Mathematical Sciences