题 目：Space-time discontinuous Galerkin method for Maxwell's equations
报告人: 谢资清教授 湖南师范大学
时 间：2011年10月10日 16:30
地 点：管理科研楼 1518
报告摘要: A fully discrete discontinuous Galerkin method is introduced for solving time-dependent Maxwell's equations in both simple and dispersive media. Distinguished from the Runge-Kutta discontinuous Galerkin method (RKDG) and the ¯nite element time domain method (FETD), in our scheme, discontinuous Galerkin methods are used to discretize not only the spatial domain but also the temporal domain. The proposed numerical scheme is proved to be unconditionally stable, and a convergent rate O((/Delta t)k+1 +hk+1=2) is established under the L2-norm. Numerical results in 3-D is provided to validate the theoretical prediction. An ultra-convergence of order (/Delta t)2k+1 in time step is observed numerically for the numerical fluxes w.r.t. temporal variable at the grid points.