@Article{AAMM-10-1305,
author = {Li , Jichun and Fang , Zhiwei},
title = {Analysis and Application of Stochastic Collocation Methods for Maxwell's Equations with Random Inputs},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2018},
volume = {10},
number = {6},
pages = {1305--1326},
abstract = {<p style="text-align: justify;">In this paper we develop and analyze the stochastic collocation method for
solving the time-dependent Maxwell&#39;s equations with random coefficients and subject
to random initial conditions. We provide a rigorous regularity analysis of the solution
with respect to the random variables. To our best knowledge, this is the first theoretical
results derived for the standard Maxwell&#39;s equations with random inputs. The rate of
convergence is proved depending on the regularity of the solution. Numerical results
are presented to confirm the theoretical analysis.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2018-0101},
url = {http://global-sci.org/intro/article_detail/aamm/12712.html}
}