Convergence analysis of single rate and multirate fixed stress split iterative coupling schemes in heterogeneous poroelastic media
DOI10.1002/num.23004OpenAlexW4319786696MaRDI QIDQ6066577
Kundan Kumar, Mary Fanett Wheeler, T. Almani
Publication date: 13 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.23004
contraction mappingporoelasticityfixed-stress split iterative couplingheterogeneous poroelastic media
PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Linear elasticity with initial stresses (74B10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Flows in porous media; filtration; seepage (76S05) Variational methods applied to PDEs (35A15) Finite difference methods applied to problems in fluid mechanics (76M20) Soil and rock mechanics (74L10) Fixed-point theorems (47H10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in solid mechanics (74S20) 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) Geophysical solid mechanics (74L05) PDEs in connection with mechanics of deformable solids (35Q74)
Cites Work
- Robust fixed stress splitting for Biot's equations in heterogeneous media
- Stability and convergence of sequential methods for coupled flow and geomechanics: fixed-stress and fixed-strain splits
- Stability and convergence of sequential methods for coupled flow and geomechanics: drained and undrained splits
- Numerical convergence study of iterative coupling for coupled flow and geomechanics
- Multirate time integration for coupled saturated/unsaturated porous medium and free flow systems
- Convergence of iterative coupling for coupled flow and geomechanics
- A multirate time stepping strategy for stiff ordinary differential equations
- Elasto-plastic consolidation of soil
- Virtual and effective control for distributed systems and decomposition of everything
- A multiscale fixed stress split iterative scheme for coupled flow and poromechanics in deep subsurface reservoirs
- Convergence and error analysis of fully discrete iterative coupling schemes for coupling flow with geomechanics
- Robust iterative schemes for non-linear poromechanics
- Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem
- Convergence of the undrained split iterative scheme for coupling flow with geomechanics in heterogeneous poroelastic media
- Stability of multirate explicit coupling of geomechanics with flow in a poroelastic medium
- A partially parallel-in-time fixed-stress splitting method for Biot's consolidation model
- Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media
- Conservative multirate multiscale simulation of multiphase flow in heterogeneous porous media
- A fixed-stress split strategy for two-phase flow in heterogeneous poroelastic media overlain by viscoelastic rock salt layers
- Adaptive asynchronous time-stepping, stopping criteria, and a posteriori error estimates for fixed-stress iterative schemes for coupled poromechanics problems
- Convergence analysis of multirate fixed-stress split iterative schemes for coupling flow with geomechanics
- The Schwarz alternating method in solid mechanics
- On the fixed-stress split scheme as smoother in multigrid methods for coupling flow and geomechanics
- Block-partitioned solvers for coupled poromechanics: a unified framework
- An Optimization-Based Approach for the Design of PDE Solution Algorithms
- Multirate Undrained Splitting for Coupled Flow and Geomechanics in Porous Media
- A decoupling method with different subdomain time steps for the nonstationary stokes–darcy model
- Virtual control, replicas and decomposition of operators
- Parameter-Robust Convergence Analysis of Fixed-Stress Split Iterative Method for Multiple-Permeability Poroelasticity Systems
- A lubrication fracture model in a poro-elastic medium
- A Multipoint Flux Mixed Finite Element Method
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