Nonconforming Finite Element Methods for Wave Propagation in Metamaterials  

作　　者：Changhui Yao Lixiu Wang 

机构地区：[1]School of Mathematics and Statistics,Zhengzhou University,Zhengzhou,450001,P.R.China [2]Beijing ComputationalScience Research Center,Beijing,100193,P.R.China

出　　处：《Numerical Mathematics(Theory,Methods and Applications)》2017年第1期145-166,共22页高等学校计算数学学报（英文版）

基　　金：supported by P.R.China NSFC(NO.11471296,11571389,11101384)。

摘　　要：In this paper,nonconforming mixed finite element method is proposed to simulate the wave propagation in metamaterials.The error estimate of the semi-discrete scheme is given by convergence order O(h 2),which is less than 40 percent of the computational costs comparing with the same effect by using Nédélec-Raviart element.A Crank-Nicolson full discrete scheme is also presented with O(τ2+h 2)by traditional discrete formula without using penalty method.Numerical examples of 2D TE,TM cases and a famous re-focusing phenomena are shown to verify our theories.

关 键 词：Wave Propagation METAMATERIALS Nonconforming Mixed Finite Element Error Estimates 

分 类 号：O17[理学—数学]