A splitting-based finite element method for the Biot poroelasticity system

DOI10.1016/j.camwa.2017.12.009zbMath1409.76057OpenAlexW2776764452MaRDI QIDQ1732492

Béatrice Rivière, Nabil Chaabane

Publication date: 25 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.12.009

zbMATH Keywords

error estimatesfinite element methodporoelasticitydecoupling methodBiot system

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10) 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 (5)

A Decoupling and Linearizing Discretization for Weakly Coupled Poroelasticity with Nonlinear Permeability ⋮ A sequential discontinuous Galerkin method for two-phase flow in deformable porous media ⋮ Some optimally convergent algorithms for decoupling the computation of Biot's model ⋮ A priori error estimates of two monolithic schemes for Biot's consolidation model ⋮ Fast online adaptive enrichment for poroelasticity with high contrast

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