Finite Element and Discontinuous Galerkin Method for Stochastic Helmholtz Equation in Two- and Three-Dimensions
Year: 2008
Journal of Computational Mathematics, Vol. 26 (2008), Iss. 5 : pp. 702–715
Abstract
In this paper, we consider the finite element method and discontinuous Galerkin method for the stochastic Helmholtz equation in $\mathbb{R}^d$ ($d$=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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2008-JCM-8653
Journal of Computational Mathematics, Vol. 26 (2008), Iss. 5 : pp. 702–715
Published online: 2008-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Stochastic partial differential equation Finite element method Discontinuous Galerkin method Stochastic Helmholtz equation.