题目：A priori error estimates to smooth solutions of Runge-Kutta discontinuous Galerkin method for symmetrizabled system of conservation laws 

报告人: 张强 教授  南京大学数学系

  

时间： 2017年6月2日 下午 3:00-4:00 

地点： 管理科研楼 1518

In this talk we present some a priori estimates in L2-norm of the Runge-Kutta discontinuous Galerkin method for solving one-dimensional symmetrizble conservation laws, where the time is discretized with the third order explicit total variation diminishing Runge-Kutta algorithm. The symmetrizble property causes much more difficulties in analysis. Hence, we firstly set up a deffition of generalized E-fluxes to include many numerical fluxed that is used widely in practice. Then we introduce a numerical viscosity matrix to describe their numerical viscosity in a weak sense. By using energy techniques, we can establish the error estimates under the standard temporal-spatial condition, which is optimal in time. In general, it is quasi-optimal in space; furthermore, it is optimal in space if the upwind numerical flux is used.