@Article{NMTMA-10-145,
author = {Changhui Yao and Lixiu Wang},
title = {Nonconforming Finite Element Methods for Wave Propagation in Metamaterials},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2017},
volume = {10},
number = {1},
pages = {145--166},
abstract = {<p style="text-align: justify;">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&nbsp;$\mathcal{O}(h^2)$, 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&nbsp;$\mathcal{O}(τ^2 + h^2)$ by traditional discrete formula without using penalty method. Numerical examples
of 2D TE, TM cases and a famous re-focusing phenomenon are shown to verify our
theories.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2017.m1426},
url = {http://global-sci.org/intro/article_detail/nmtma/12340.html}
}