A four-field mixed finite element method for Biot's consolidation problems

DOI10.3934/era.2020127zbMath1476.65251OpenAlexW3112558524MaRDI QIDQ2030427

Junping Wang, Wenya Qi, Padmanabhan Seshaiyer

Publication date: 7 June 2021

Published in: Electronic Research Archive (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2020127

zbMATH Keywords

mixed finite element methodCrank-Nicolson time discretizationBiot's consolidation equations

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mixed-type systems of PDEs (35M30)

Uses Software

• poroelasticity

Cites Work

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