Superconvergence of Discontinuous Galerkin Solutions for Vanishing Delay Differential Equations

Publisher:信息发布员Date:2020-11-20Views:10

Superconvergence of Discontinuous Galerkin Solutions for Vanishing Delay Differential Equations

Speaker: Qiumei Huang, Professor from Beijing Industrial University

Time:15:00, November 21st, 2020

Place: Tencent Meeting 251 894 862

Sponsor: SHNU College of Mathematics and Engineering

In this talk, we consider the discontinuous Galerkin method to solve vanishing delay differential equations under quasi-graded mesh. Global convergence and local superconvergence results are obtained. Based on local superconvergence results, several postprocessing techniques to accelerate the global convergence are proposed. The theoretical expectations are confirmed by numerical experiments.