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

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作者
Yanzhao Cao Department of Mathematics
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关键词
Stochastic partial differential equation; Finite element method; Discontinuous Galerkin method; Stochastic Helmholtz equation;
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中图分类号
O241.82 [偏微分方程的数值解法];
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摘要
In this paper,we consider the finite element method and discontinuous Galerkin methodfor the stochastic Helmholtz equation in R~d (d=2,3).Convergence analysis and error estimatesare presented for the numerical solutions.The effects of the noises on the accuracyof the approximations are illustrated.Numerical experiments are carried out to verify ourtheoretical results.
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页码:702 / 715
页数:14
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