A posteriori error estimates by weakly symmetric stress reconstruction for the Biot problem

DOI10.1016/j.camwa.2020.10.011OpenAlexW3113131199MaRDI QIDQ2027611

Gerhard Starke, Fleurianne Bertrand

Publication date: 27 May 2021

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

Full work available at URL: https://arxiv.org/abs/2010.09318

zbMATH Keywords

a posteriori error estimationBiot

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Flows in porous media; filtration; seepage (76S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (3)

Robust A Posteriori Error Analysis for Rotation-Based Formulations of the Elasticity/Poroelasticity Coupling ⋮ Novel Raviart-Thomas basis functions on anisotropic finite elements ⋮ Editorial: Robust and reliable finite element methods in poromechanics

Cites Work

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• A Least-Squares Mixed Finite Element Method for Biot's Consolidation Problem in Porous Media
• Approximations in elasticity based on the concept of function space

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