TY - JOUR
T1 - Finite Element and Discontinuous Galerkin Method for Stochastic Helmholtz Equation in Two- and Three-Dimensions
JO - Journal of Computational Mathematics
VL - 5
SP - 702
EP - 715
PY - 2008
DA - 2008/10
SN - 26
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8653.html
KW - Stochastic partial differential equation, Finite element method, Discontinuous
Galerkin method, Stochastic Helmholtz equation.
AB - <p style="text-align: justify;">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.</p>