Enhanced relaxed physical factorization preconditioner for coupled poromechanics
From MaRDI portal
Publication:2074126
DOI10.1016/j.camwa.2021.11.015OpenAlexW3045778344WikidataQ114201499 ScholiaQ114201499MaRDI QIDQ2074126
Matteo Frigo, Nicola Castelletto, Massimiliano Ferronato
Publication date: 4 February 2022
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.14591
Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Iterative numerical methods for linear systems (65F10) 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)
Related Items
Two block preconditioners for a class of double saddle point linear systems ⋮ An Algebraic Multigrid-Based Physical Factorization Preconditioner for the Multi-Group Radiation Diffusion Equations in Three Dimensions
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Iterative solution of large sparse systems of equations
- A nonconforming finite element method for the Biot's consolidation model in poroelasticity
- Convergence of iterative coupling of geomechanics with flow in a fractured poroelastic medium
- Block-preconditioned Newton-Krylov solvers for fully coupled flow and geomechanics
- Robust fixed stress splitting for Biot's equations in heterogeneous media
- A relaxed dimensional factorization preconditioner for the incompressible Navier-Stokes equations
- A fully coupled 3-D mixed finite element model of Biot consolidation
- On some mixed finite element methods for incompressible and nearly incompressible finite elasticity
- A stabilized element-based finite volume method for poroelastic problems
- Parameter-robust stability of classical three-field formulation of Biot's consolidation model
- Scalable algorithms for three-field mixed finite element coupled poromechanics
- A multiscale fixed stress split iterative scheme for coupled flow and poromechanics in deep subsurface reservoirs
- Stable discretization of poroelasticity problems and efficient preconditioners for arising saddle point type matrices
- Robust iterative schemes for non-linear poromechanics
- Enriched Galerkin finite elements for coupled poromechanics with local mass conservation
- New stabilized discretizations for poroelasticity and the Stokes' equations
- Convergence analysis of two-grid fixed stress split iterative scheme for coupled flow and deformation in heterogeneous poroelastic media
- A stabilized hybrid mixed finite element method for 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
- Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media
- A general preconditioning framework for coupled multiphysics problems with application to contact- and poro-mechanics
- 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
- On the fixed-stress split scheme as smoother in multigrid methods for coupling flow and geomechanics
- Parameter estimates for the relaxed dimensional factorization preconditioner and application to hemodynamics
- Block-partitioned solvers for coupled poromechanics: a unified framework
- A coupling of mixed and continuous Galerkin finite element methods for poroelasticity. I: The continuous in time case
- A coupling of mixed and continuous Galerkin finite element methods for poroelasticity. II: The discrete-in-time case
- Thermo-hydro-mechanical modeling of fluid geological storage by Godunov-mixed methods
- Parameter-Robust Discretization and Preconditioning of Biot's Consolidation Model
- Modified augmented Lagrangian preconditioners for the incompressible Navier-Stokes equations
- Field-of-Values Convergence Analysis of Augmented Lagrangian Preconditioners for the Linearized Navier–Stokes Problem
- Robust Preconditioners for a New Stabilized Discretization of the Poroelastic Equations
- An Augmented Lagrangian Approach to Linearized Problems in Hydrodynamic Stability
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
- A Mixed Finite Element--Finite Volume Formulation of the Black-Oil Model
- Incomplete Cholesky Factorizations with Limited Memory
- ILUT: A dual threshold incomplete LU factorization
- Robust Block Preconditioners for Biot’s Model
- Parameter-Robust Convergence Analysis of Fixed-Stress Split Iterative Method for Multiple-Permeability Poroelasticity Systems
- A Scalable Multigrid Reduction Framework for Multiphase Poromechanics of Heterogeneous Media
- A Relaxed Physical Factorization Preconditioner for Mixed Finite Element Coupled Poromechanics
- An Augmented Lagrangian Preconditioner for the 3D Stationary Incompressible Navier--Stokes Equations at High Reynolds Number
- On an Uzawa smoother in multigrid for poroelasticity equations
- Computational Methods for Multiphase Flows in Porous Media
- HSL_MI20 : An efficient AMG preconditioner for finite element problems in 3D
