A STOCHASTIC GALERKIN METHOD FOR MAXWELL EQUATIONS WITH UNCERTAINTY  

作　　者：Lizheng CHENG Bo WANG Ziqing XIE 程立正;汪波;谢资清(LCSM(MOE)and School of Mathem atics and Statistics,Hunan Normal University,Changsha 410081,China;Inform ation Science and Engineering College,Hunan International Economics University,Changsha 410205,China)

机构地区：[1]LCSM(MOE)and School of Mathem atics and Statistics,Hunan Normal University,Changsha 410081,China [2]Information Science and Engineering College,Hunan International Economics University,Changsha 410205,China

出　　处：《Acta Mathematica Scientia》2020年第4期1091-1104,共14页数学物理学报（B辑英文版）

基　　金：Supported by NSFC (91430107/11771138/11171104);the Construct Program of the Key Discipline in Hunan;partially supported by Scientific Research Fund of Hunan Provincial Education Department (19B325/19C1059);Hunan International Economics University (2017A05);supported by NSFC (11771137);the Construct Program of the Key Discipline in Hunan Province;a Scientific Research Fund of Hunan Provincial Education Department (16B154)。

摘　　要：In this article,we investigate a stochastic Galerkin method for the Maxwell equations with random inputs.The generalized Polynomial Chaos(gPC)expansion technique is used to obtain a deterministic system of the gPC expansion coefficients.The regularity of the solution with respect to the random is analyzed.On the basis of the regularity results,the optimal convergence rate of the stochastic Galerkin approach for Maxwell equations with random inputs is proved.Numerical examples are presented to support the theoretical analysis.

关 键 词：Maxwell equations random inputs stochastic Galerkin method gPC expansion convergence analysis 

分 类 号：O441[理学—电磁学]