A locking free numerical approximation for quasilinear poroelasticity problems

DOI10.1016/j.camwa.2020.07.011zbMath1451.74211OpenAlexW3052981978MaRDI QIDQ2210596

Yanzhao Cao, Chenguang Zhou, Jingyuan Zhang, A. J. Meir

Publication date: 7 November 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2020.07.011

zbMATH Keywords

error estimateweak Galerkin mixed finite element methoddilatation-dependent permeabilityvolumetric stress formulation

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (4)

Semilinear Degenerate Biot–Signorini System ⋮ A hybridized weak Galerkin finite element scheme for linear elasticity problem ⋮ Weak Galerkin finite element method for linear poroelasticity problems ⋮ A weak Galerkin method for nonlinear stochastic parabolic partial differential equations with additive noise

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