研究生教育创新计划高水平学术前沿讲座之六

时间:2011-09-23

 
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.
 
主办单位:澳门新葡新京 国家数学交叉科学中心合肥分中心
 
 
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