Domain decomposition methods for linear and semilinear elliptic stochastic partial differential equations

DOI10.1016/j.amc.2007.05.009zbMath1132.65006OpenAlexW1985513989MaRDI QIDQ2470172

Yanyan Li

Publication date: 13 February 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.05.009

zbMATH Keywords

convergencefinite element methodnumerical examplesdomain decomposition methodstochastic partial differential equation

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)

Related Items (5)

Elliptic boundary value problems with Gaussian white noise loads ⋮ An optimization based domain decomposition method for PDEs with random inputs ⋮ A multiscale preconditioner for stochastic mortar mixed finite elements ⋮ Finite element method and discontinuous Galerkin method for stochastic scattering problem of Helmholtz type in \(\mathbb R^{d} (d =2, 3)\) ⋮ A multiscale method for semi-linear elliptic equations with localized uncertainties and non-linearities

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