Parameter-Robust Convergence Analysis of Fixed-Stress Split Iterative Method for Multiple-Permeability Poroelasticity Systems

DOI10.1137/19M1253988zbMath1447.65077arXiv1812.11809OpenAlexW3029927020MaRDI QIDQ5117148

Maria Lymbery, Qingguo Hong, Johannes Kraus, Mary Fanett Wheeler

Publication date: 20 August 2020

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.11809

zbMATH Keywords

convergence analysisfixed-stress split iterative couplingMPET systemmultiple-porosity/multiple-permeability poroelasiticity

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Iterative numerical methods for linear systems (65F10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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Uses Software

• FEniCS
• poroelasticity

Cites Work

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