Multiscale Finite Element approach for “weakly” random problems and related issues

DOI10.1051/m2an/2013122zbMath1300.65007arXiv1111.1524OpenAlexW2029508482MaRDI QIDQ5419528

Frédéric Legoll, Florian Thomines, Claude Le Bris

Publication date: 10 June 2014

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.1524

zbMATH Keywords

finite elementsnumerical experimentGalerkin methodshighly oscillatory PDEweakly stochastic homogenization

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) 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) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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