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

• 来源期刊: 计算数学（英文版）
• 关键词: Stochastic partial differential equation Finite element method Discontinuous Galerkin method Stochastic Helmholtz equation
• 年，卷（期）: 2008,（5）
• 页码范围: 702-715
• 页数: 14页
• 语种: 英文

摘要

In this paper, we consider the finite element method and discontinuous Galerkin method for the stochastic Helmholtz equation in Rd (d = 2, 3). Convergence analysis and error es-timates 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.