On the locking-free three-field virtual element methods for Biot’s consolidation model in poroelasticity
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Publication:4958860
DOI10.1051/m2an/2020064zbMath1481.65191OpenAlexW3083261679MaRDI QIDQ4958860
Baiju Zhang, Xialan Tang, Zhi-Bin Liu, Min-Fu Feng
Publication date: 15 September 2021
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/m2an/2020064
Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) 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) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Related Items (8)
VIRTUAL ELEMENT APPROXIMATIONS FOR TWO SPECIES MODEL OF THE ADVECTION-DIFFUSION-REACTION IN POROELASTIC MEDIA ⋮ A robust and mass conservative virtual element method for linear three-field poroelasticity ⋮ The nonconforming locking-free virtual element method for the Biot's consolidation model in poroelasticity ⋮ A virtual element method for overcoming locking phenomena in Biot’s consolidation model ⋮ Numerical solution of the Biot/elasticity interface problem using virtual element methods ⋮ A locking-free and mass conservative H(div) conforming DG method for the Biot's consolidation model ⋮ Virtual element methods for the three-field formulation of time-dependent linear poroelasticity ⋮ A mixed virtual element method for Biot's consolidation model
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