Finite element method and discontinuous Galerkin method for stochastic scattering problem of Helmholtz type in \(\mathbb R^{d} (d =2, 3)\)

DOI10.1007/s11118-008-9078-4zbMath1146.65006OpenAlexW2131269705MaRDI QIDQ930373

Elsie Sterbin Gottlieb

Publication date: 30 June 2008

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-008-9078-4

zbMATH Keywords

finite element methoddiscontinuous Galerkin methodstochastic Helmholtz equation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Diffraction, scattering (78A45) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)

Related Items (9)

Elliptic boundary value problems with Gaussian white noise loads ⋮ Strong and weak convergence order of finite element methods for stochastic PDEs with spatial white noise ⋮ Strong optimal error estimates of discontinuous Galerkin method for multiplicative noise driving nonlinear <scp>SPDEs</scp> ⋮ A goal-oriented error estimator for the analysis of simplified designs ⋮ A local discontinuous Galerkin method for nonlinear parabolic SPDEs ⋮ Stochastic discontinuous Galerkin methods with low-rank solvers for convection diffusion equations ⋮ A Symplectic Discontinuous Galerkin Full Discretization for Stochastic Maxwell Equations ⋮ Full-discrete finite element method for the stochastic elastic equation driven by additive noise ⋮ Discontinuous Galerkin methods for elliptic partial differential equations with random coefficients

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