A partially parallel-in-time fixed-stress splitting method for Biot's consolidation model

DOI10.1016/j.camwa.2018.09.005zbMath1442.65250arXiv1802.00949OpenAlexW2895852470WikidataQ129126412 ScholiaQ129126412MaRDI QIDQ2203855

Manuel Borregales, Kundan Kumar, Carmen Rodrigo, Francisco José Gaspar, Florin Adrian Radu

Publication date: 2 October 2020

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

Full work available at URL: https://arxiv.org/abs/1802.00949

zbMATH Keywords

convergence analysisfinite elementsBiot's modelporomechanicsparallel-in-timeiterative fixed-stress splitting scheme

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05)

Related Items (16)

Performance studies of the fixed stress split algorithm for immiscible two-phase flow coupled with linear poromechanics ⋮ A two-grid simulation framework for fast monitoring of fault stability and ground deformation in multiphase geomechanics ⋮ Monolithic Multigrid for a Reduced-Quadrature Discretization of Poroelasticity ⋮ 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 ⋮ Accuracy of fully coupled and sequential approaches for modeling hydro- and geomechanical processes ⋮ A priori error estimates of two monolithic schemes for Biot's consolidation model ⋮ Combining finite element and analytical methods to contact problems of 3D structure on soft foundation ⋮ Robust Preconditioners for a New Stabilized Discretization of the Poroelastic Equations ⋮ On the Convergence of Flow and Mechanics Iterative Coupling Schemes in Fractured Heterogeneous Poro-Elastic Media ⋮ Numerical solvers for a poromechanic problem with a moving boundary ⋮ The Correspondence between Voigt and Reuss Bounds and the Decoupling Constraint in a Two-Grid Staggered Algorithm for Consolidation in Heterogeneous Porous Media ⋮ Domain decomposition and partitioning methods for mixed finite element discretizations of the Biot system of poroelasticity ⋮ A multi-timestep Dirichlet-Neumann domain decomposition method applied to the polymer injection in porous media ⋮ Convergence of single rate and multirate undrained split iterative schemes for a fractured Biot model ⋮ Monolithic Multigrid for a Reduced-Quadrature Discretization of Poroelasticity

Uses Software

• deal.ii

Cites Work

• The \texttt{deal.II} library, version 8.4
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