Efficient solvers for hybridized three-field mixed finite element coupled poromechanics
From MaRDI portal
Publication:2027614
DOI10.1016/j.camwa.2020.07.010OpenAlexW3047002584MaRDI QIDQ2027614
Massimiliano Ferronato, Nicola Castelletto, Matteo Frigo, Joshua A. White
Publication date: 27 May 2021
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.09603
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
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, Hybridized Discontinuous Galerkin/Hybrid Mixed Methods for a Multiple Network Poroelasticity Model with Application in Biomechanics, Hybrid mimetic finite-difference and virtual element formulation for coupled poromechanics, Editorial: Robust and reliable finite element methods in poromechanics, On parameterized block symmetric positive definite preconditioners for a class of block three-by-three saddle point problems, Enhanced relaxed physical factorization preconditioner for coupled poromechanics, Monolithic Multigrid for a Reduced-Quadrature Discretization of Poroelasticity
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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
- 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
- Convergence of iterative coupling for coupled flow and geomechanics
- Overcoming the problem of locking in linear elasticity and poroelasticity: an heuristic approach
- Stabilised bilinear-constant velocity-pressure finite elements for the conjugate gradient solution of the Stokes problem
- Mixed constraint preconditioners for the iterative solution of FE coupled consolidation equations
- A fully coupled 3-D mixed finite element model of Biot consolidation
- Novel preconditioners for the iterative solution to FE-discretized coupled consolidation equations
- A discourse on the stability conditions for mixed finite element formulations
- Diffusion in poro-elastic media
- 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
- Multigrid method for nonlinear poroelasticity equations
- Robust iterative schemes for non-linear poromechanics
- 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 coupling of hybrid mixed and continuous Galerkin finite element methods for poroelasticity
- A two-stage preconditioner for multiphase poromechanics in reservoir simulation
- A general preconditioning framework for coupled multiphysics problems with application to contact- and poro-mechanics
- The deal.II library, Version 9.1
- Convergence analysis of multirate fixed-stress split iterative schemes for coupling flow with geomechanics
- 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
- Finite Elements and Fast Iterative Solvers
- Parameter-Robust Discretization and Preconditioning of Biot's Consolidation Model
- Robust Preconditioners for a New Stabilized Discretization of the Poroelastic Equations
- A systematic comparison of coupled and distributive smoothing in multigrid for the poroelasticity system
- Numerical solution of saddle point problems
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Mixed-hybrid finite elements and streamline computation for the potential flow problem
- A Mixed Finite Element--Finite Volume Formulation of the Black-Oil Model
- Any Nonincreasing Convergence Curve is Possible for GMRES
- 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
- On an Uzawa smoother in multigrid for poroelasticity equations
