A multiscale finite element method for Neumann problems in porous microstructures

DOI10.3934/dcdss.2016052zbMath1388.76155OpenAlexW2536684056MaRDI QIDQ727507

Vasilena Taralova, Donald L. Brown

Publication date: 7 December 2016

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2016052

zbMATH Keywords

upscalingnumerical analysishomogenisationmultiscale finite elementsporous geometry

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Micromechanics of solids (74M25) Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Homogenization in equilibrium problems of solid mechanics (74Q05) Finite element methods applied to problems in fluid mechanics (76M10) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Statistical mechanics of nanostructures and nanoparticles (82D80)

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A hierarchical finite element Monte Carlo method for stochastic two-scale elliptic equations ⋮ Effective equations governing an active poroelastic medium

Uses Software

• MsFEM

Cites Work

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