Residual-baseda posteriorierror estimates of mixed methods for a three-field Biot’s consolidation model

DOI10.1093/imanum/draa074zbMath1493.65157arXiv1911.08692OpenAlexW3092392428MaRDI QIDQ5024889

Yuwen Li, Ludmil T. Zikatanov

Publication date: 27 January 2022

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.08692

zbMATH Keywords

heat equationreliabilityefficiencya posteriori error estimatesBiot's consolidation model

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Soil and rock mechanics (74L10) Heat equation (35K05) 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)

Related Items (6)

Robust A Posteriori Error Analysis for Rotation-Based Formulations of the Elasticity/Poroelasticity Coupling ⋮ A posteriori error estimation and adaptivity for multiple-network poroelasticity ⋮ A posteriori error estimates for Biot system using a mixed discretization for flow ⋮ Approximate solutions to second-order parabolic equations: evolution systems and discretization ⋮ Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem ⋮ Robust Preconditioners for Perturbed Saddle-Point Problems and Conservative Discretizations of Biot's Equations Utilizing Total Pressure

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