Convergence and error analysis of fully discrete iterative coupling schemes for coupling flow with geomechanics
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Publication:1785136
DOI10.1007/s10596-017-9691-7zbMath1396.76047OpenAlexW2748597312MaRDI QIDQ1785136
Kundan Kumar, T. Almani, Mary Fanett Wheeler
Publication date: 28 September 2018
Published in: Computational Geosciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10596-017-9691-7
a priori error estimatescontraction mappingporoelasticityBiot systemfixed-stress split iterative coupling
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) Geological problems (86A60)
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Performance studies of the fixed stress split algorithm for immiscible two-phase flow coupled with linear poromechanics, Convergence of the undrained split iterative scheme for coupling flow with geomechanics in heterogeneous poroelastic media, Convergence analysis of single rate and multirate fixed stress split iterative coupling schemes in heterogeneous poroelastic media, Parameter-Robust Convergence Analysis of Fixed-Stress Split Iterative Method for Multiple-Permeability Poroelasticity Systems, Stability of multirate explicit coupling of geomechanics with flow in a poroelastic medium, Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem, The Correspondence between Voigt and Reuss Bounds and the Decoupling Constraint in a Two-Grid Staggered Algorithm for Consolidation in Heterogeneous Porous Media, Parameter-robust Uzawa-type iterative methods for double saddle point problems arising in Biot’s consolidation and multiple-network poroelasticity models
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