A posteriori error estimates for Biot system using a mixed discretization for flow

DOI10.1016/J.CMA.2022.115240OpenAlexW4283814207MaRDI QIDQ2679289

Vivette Girault, Hanyu Li, Mary Fanett Wheeler

Publication date: 19 January 2023

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2022.115240

zbMATH Keywords

reliabilityefficiencyBiot systemmixed discretizationfixed stress algorithmresidual a posteriori error indicators

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

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• A posteriori error estimates for finite element exterior calculus: the de Rham complex
• Convergence of iterative coupling for coupled flow and geomechanics
• A posteriori error estimation in finite element analysis
• The deal.II library, version 9.0
• A posteriori error estimates for Biot system using enriched Galerkin for flow
• Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
• Finite Element Methods for Navier-Stokes Equations
• Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences
• Residual-baseda posteriorierror estimates of mixed methods for a three-field Biot’s consolidation model

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