@Article{IJNAM-10-4,
author = {},
title = {A New Energy-Conserved S-FDTD Scheme for Maxwell's Equations in Metamaterials},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2013},
volume = {10},
number = {4},
pages = {775--794},
abstract = {<p style="text-align: justify;">In this paper, we develop a new energy-conserved S-FDTD scheme for the Maxwell&#39;s equations in metamaterials. We first derive out the new property of energy conservation of the
governing equations in metamaterials, and then propose the energy-conserved S-FDTD scheme
for solving the problems based on the staggered grids. We prove that the proposed scheme is
energy-conserved in the discrete form and unconditionally stable. Based on the energy method,
we further prove that the scheme for the Maxwell&#39;s equations in metamaterials is first order in
time and second order in space. Numerical experiments are carried out to confirm the energy
conservation and the convergence rates of the scheme. Moreover, numerical examples are also
taken to show the propagation features of electromagnetic waves in the DNG metamaterials.</p>},
issn = {2617-8710},
doi = {https://doi.org/2013-IJNAM-595},
url = {https://global-sci.com/article/83432/a-new-energy-conserved-s-fdtd-scheme-for-maxwells-equations-in-metamaterials}
}