@Article{IJNAM-11-657,
author = {Bokil , V. A. and Gibson , N. L.},
title = {Convergence Analysis of Yee Schemes for Maxwell's Equations in Debye and Lorentz Dispersive Media},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2014},
volume = {11},
number = {4},
pages = {657--687},
abstract = {<p style="text-align: justify;">We present discrete energy decay results for the Yee scheme applied to Maxwell&#39;s equations in Debye and Lorentz dispersive media. These estimates provide stability conditions for
the Yee scheme in the corresponding media. In particular, we show that the stability conditions are
the same as those for the Yee scheme in a nondispersive dielectric. However, energy decay for the
Maxwell-Debye and Maxwell-Lorentz models indicate that the Yee schemes are dissipative. The
energy decay results are then used to prove the convergence of the Yee schemes for the dispersive
models. We also show that the Yee schemes preserve the Gauss divergence laws on its discrete
mesh. Numerical simulations are provided to illustrate the theoretical results.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/546.html}
}