On the fixed-stress split scheme as smoother in multigrid methods for coupling flow and geomechanics
From MaRDI portal
Publication:2310075
DOI10.1016/j.cma.2017.08.025zbMath1439.74413OpenAlexW2751343191MaRDI QIDQ2310075
Carmen Rodrigo, Francisco José Gaspar
Publication date: 6 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://ir.cwi.nl/pub/26848
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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Computational methods for problems pertaining to geophysics (86-08) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)
Related Items (27)
Multi-stage preconditioners for thermal-compositional-reactive flow in porous media ⋮ Performance studies of the fixed stress split algorithm for immiscible two-phase flow coupled with linear poromechanics ⋮ A novel block non-symmetric preconditioner for mixed-hybrid finite-element-based Darcy flow simulations ⋮ Monolithic Multigrid for a Reduced-Quadrature Discretization of Poroelasticity ⋮ A two-stage preconditioner for multiphase poromechanics in reservoir simulation ⋮ Multiscale two-stage solver for Biot's poroelasticity equations in subsurface 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 ⋮ AI‐enhanced iterative solvers for accelerating the solution of large‐scale parametrized systems ⋮ Robust Block Preconditioners for Biot’s Model ⋮ 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 ⋮ Robust Preconditioners for a New Stabilized Discretization of the Poroelastic Equations ⋮ The Fixed-Stress Splitting Scheme for Biot’s Equations as a Modified Richardson Iteration: Implications for Optimal Convergence ⋮ Iterative solvers for Biot model under small and large deformations ⋮ Approximate inverse-based block preconditioners in poroelasticity ⋮ A macroelement stabilization for mixed finite element/finite volume discretizations of multiphase poromechanics ⋮ Efficient solvers for hybridized three-field mixed finite element coupled poromechanics ⋮ Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem ⋮ Adaptive asynchronous time-stepping, stopping criteria, and a posteriori error estimates for fixed-stress iterative schemes for coupled poromechanics problems ⋮ 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 ⋮ A Relaxed Physical Factorization Preconditioner for Mixed Finite Element Coupled Poromechanics ⋮ Phase-field modeling through iterative splitting of hydraulic fractures in a poroelastic medium ⋮ Enhanced relaxed physical factorization preconditioner for coupled poromechanics ⋮ Monolithic Multigrid for a Reduced-Quadrature Discretization of Poroelasticity
Cites Work
- Multigrid methods on semi-structured grids
- 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
- Convergence of iterative coupling for coupled flow and geomechanics
- Novel preconditioners for the iterative solution to FE-discretized coupled consolidation equations
- Scalable algorithms for three-field mixed finite element coupled poromechanics
- Convergence analysis of multirate fixed-stress split iterative schemes for coupling flow with geomechanics
- Space-time finite element approximation of the Biot poroelasticity system with iterative coupling
- Block-partitioned solvers for coupled poromechanics: a unified framework
- Stability and monotonicity for some discretizations of the Biot's consolidation model
- Theory of Elasticity and Consolidation for a Porous Anisotropic Solid
- A systematic comparison of coupled and distributive smoothing in multigrid for the poroelasticity system
- Performance and robustness of block constraint preconditioners in finite element coupled consolidation problems
- Numerical stabilization of Biot's consolidation model by a perturbation on the flow equation
- On stability and convergence of finite element approximations of Biot's consolidation problem
- On an Uzawa smoother in multigrid for poroelasticity equations
This page was built for publication: On the fixed-stress split scheme as smoother in multigrid methods for coupling flow and geomechanics
