A virtual element method for overcoming locking phenomena in Biot’s consolidation model

DOI10.1051/m2an/2023073zbMath1530.65122OpenAlexW4386415316MaRDI QIDQ6189276

Unnamed Author, Zhang-Xin Chen

Publication date: 12 January 2024

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

Full work available at URL: https://doi.org/10.1051/m2an/2023073

zbMATH Keywords

virtual element methodBiot's consolidation modelgeneral polygonal meshesPoisson locking and pressure oscillationunified error estimate

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Soil and rock mechanics (74L10) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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