FINITE ELEMENT AND DISCONTINUOUS GALERKIN METHOD FOR STOCHASTIC HELMHOLTZ EQUATION IN TWO-AND THREE-DIMENSIONS  

作　　者：Yanzhao Cao Ran Zhang Kai Zhang 

机构地区：[1]Department of Mathematics, Florida A&M University, TaUahassee, FL32307, USA [2]Department of Mathematics, Jilin University, Changchun 130023, China

出　　处：《Journal of Computational Mathematics》2008年第5期702-715,共14页计算数学（英文）

基　　金：NSF under grant number 0609918;AFOSR under grant numbers FA9550-06-1-0234 and FA9550-07-1-0154;NSFC (10671082,10626026,10471054);NNSF (No.10701039 of China);985 program of Jilin University

摘　　要：In this paper, we consider the finite element method and discontinuous Galerkin method for the stochastic Helmholtz equation in R^d （d = 2, 3）. Convergence analysis and error estimates are presented for the numerical solutions. The effects of the noises on the accuracy of the approximations are illustrated. Numerical experiments are carried out to verify our theoretical results.In this paper, we consider the finite element method and discontinuous Galerkin method for the stochastic Helmholtz equation in R^d （d = 2, 3）. Convergence analysis and error estimates are presented for the numerical solutions. The effects of the noises on the accuracy of the approximations are illustrated. Numerical experiments are carried out to verify our theoretical results.

关 键 词：Stochastic partial differential equation Finite element method Discontinuous Galerkin method Stochastic Helmholtz equation. 

分 类 号：O241.4[理学—计算数学]