In this popular text for an Numerical Analysis course, the authors introduce several major methods of solving various partial differential equations (PDEs) including elliptic, parabolic …
S Lanteri, C Scheid - IMA Journal of Numerical Analysis, 2013 - ieeexplore.ieee.org
This work is about the numerical solution of the time-domain Maxwell's equations in dispersive propagation media by a discontinuous Galerkin time-domain method. The Debye …
Y Huang, J Li, Q Lin - Numerical Methods for Partial Differential …, 2012 - Wiley Online Library
In this article, we consider the time‐dependent Maxwell's equations modeling wave propagation in metamaterials. One‐order higher global superclose results in the L2 norm …
J Li, S Shields - Numerische Mathematik, 2016 - Springer
Since the development of Yee scheme back in 1966, it has become one of the most popular simulation tools for modeling electromagnetic wave propagation in various situations …
Numerical simulation of metamaterials has attracted more and more attention since 2000, after the first metamaterial with negative refraction index was successfully constructed. In this …
J Li, A Wood - Journal of Scientific Computing, 2007 - Springer
In this paper, we develop both semi-discrete and fully-discrete mixed finite element methods for modeling wave propagation in three-dimensional double negative metamaterials. Here …
J Li - Computer Methods in Applied Mechanics and …, 2009 - Elsevier
In this paper, we develop a leap-frog mixed finite element method for solving Maxwell's equations resulting from metamaterials. Our scheme is similar to the popular Yee's FDTD …
Z Qiao, C Yao, S Jia - Journal of Scientific Computing, 2011 - Springer
In this paper, a nonconforming mixed finite element approximating to the three-dimensional time-harmonic Maxwell's equations is presented. On a uniform rectangular prism mesh …
Y Huang, J Li, C Wu, W Yang - Journal of Scientific Computing, 2015 - Springer
Abstract Back in 1992, Monk (Numer Math 63: 243–261, 1992) found that the numerical solution of time-harmonic Maxwell equations shows a superconvergence result O (h^ 2) O (h …