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  

作　　者：Xiang Wang Jichun Li Zhiwei Fang 

机构地区：[1]Department of Mathematical Sciences,Nanchang University,Nanchang,China [2]Department of Mathematical Sciences,University of Nevada Las Vegas,Las Vegas,Nevada 89154-4020,USA

出　　处：《Communications in Computational Physics》2021年第1期211-236,共26页计算物理通讯（英文）

基　　金：supported by National Natural Science Foundation of China under grants No.11961048,No.11671340;NSF of Jiangxi Province with No.20181ACB20001.

摘　　要：This article is devoted to three quadrature methods for the rapid solution of stochastic time-dependent Maxwell’s equations with uncertain permittivity,perme-ability 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.

关 键 词：Maxwell’s equations uncertainty quantification edge element 

分 类 号：O17[理学—数学]