Nodal Discontinuous Galerkin Method for Time-Domain Lorentz Model Equations in Meta-Materials  

作　　者：Shanghui Jia Changhui Yao Shuai Su 

机构地区：[1]School of Statistic and Mathematics,Central University of Finance and Economics,Beijing 100081,China [2]School of Mathematics and Statistics,Zhengzhou University,Zhengzhou,China [3]Graduate School of China Academy of Engeering Physics,Beijing 100088,China

出　　处：《Numerical Mathematics(Theory,Methods and Applications)》2018年第1期30-48,共19页高等学校计算数学学报（英文版）

基　　金：supported by NSFC.China(NOs.11201501,11571389);the Program for Innovation Research in Central University of Finance and Economics;The second author is Supported by NSFC.China(Grant Nos.11471296,11101384);the third author is supported in part by Defense Industrial Technology Development Program(B1520133015).

摘　　要：In this paper,Nodal discontinuous Galerkin method is presented to approxi-mate Time-domain Lorentz model equations in meta-materials.The upwind flux is cho-sen in spatial discrete scheme.Low-storage five-stage fourth-order explicit Runge-Kutta method is employed in time discrete scheme.An error estimate of accuracy O(τ^(4)+h^(n))is proved under the L^(2)-norm,specially O(τ^(4)+h^(n+1))can be obtained.Numerical exper-iments for transverse electric(TE)case and transverse magnetic(TM)case are demon-strated to verify the stability and the efficiency of the method in low and higher wave frequency.

关 键 词：Time-domain Lorentz model META-MATERIALS Runge-Kutta method nodal discontinuous Galerkin method 

分 类 号：O17[理学—数学]