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Finite Element and Discontinuous Galerkin Method for Stochastic Helmholtz Equation in Two- and Three-Dimensions
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@Article{JCM-26-702,
author = {},
title = {Finite Element and Discontinuous Galerkin Method for Stochastic Helmholtz Equation in Two- and Three-Dimensions},
journal = {Journal of Computational Mathematics},
year = {2008},
volume = {26},
number = {5},
pages = {702--715},
abstract = { 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.},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/8653.html}
}
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
KW - Finite element method
KW - Discontinuous Galerkin method
KW - Stochastic Helmholtz equation
AB - 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.
Yanzhao Cao, Ran Zhang & Kai Zhang . (1970). Finite Element and Discontinuous Galerkin Method for Stochastic Helmholtz Equation in Two- and Three-Dimensions.
Journal of Computational Mathematics. 26 (5).
702-715.
doi:
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