A Novel Method for Solving Multiscale Elliptic Problems with Randomly Perturbed Data

DOI10.1137/090771302zbMath1200.65005OpenAlexW2079920330MaRDI QIDQ2786361

Victor Ginting, Michael Presho, Axel Målqvist

Publication date: 22 September 2010

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090771302

zbMATH Keywords

algorithmparallel computationMonte Carlo methodrandom perturbationNeumann serieselliptic equationmultiscale finite element method

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Parallel numerical computation (65Y05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) PDEs with randomness, stochastic partial differential equations (35R60) Numerical solutions to stochastic differential and integral equations (65C30)

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A multiscale method with patch for the solution of stochastic partial differential equations with localized uncertainties ⋮ A multiscale method for semi-linear elliptic equations with localized uncertainties and non-linearities ⋮ A Hybrid HDMR for Mixed Multiscale Finite Element Methods with Application to Flows in Random Porous Media

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