@Article{CiCP-29-211,
author = {Wang , XiangLi , Jichun and Fang , Zhiwei},
title = {Analysis and Application of Single Level, Multi-Level Monte Carlo and Quasi-Monte Carlo Finite Element Methods for Time-Dependent Maxwell's Equations with Random Inputs},
journal = {Communications in Computational Physics},
year = {2020},
volume = {29},
number = {1},
pages = {211--236},
abstract = {<p style="text-align: justify;">This article is devoted to three quadrature methods for the rapid solution
of stochastic time-dependent Maxwell&#39;s equations with uncertain permittivity, permeability and initial conditions. We develop the mathematical analysis of the error estimate for single level Monte Carlo method, multi-level Monte Carlo method, and the
quasi-Monte Carlo method. The theoretical results are supplemented by numerical
experiments.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2020-0011},
url = {http://global-sci.org/intro/article_detail/cicp/18428.html}
}