Robust iterative schemes for non-linear poromechanics
From MaRDI portal
Publication:1787648
DOI10.1007/s10596-018-9736-6zbMath1402.65109arXiv1702.00328OpenAlexW2585421485MaRDI QIDQ1787648
Manuel Borregales, Kundan Kumar, Jan Martin Nordbotten, Florin Adrian Radu
Publication date: 5 October 2018
Published in: Computational Geosciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.00328
Numerical computation of solutions to systems of equations (65H10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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)
Related Items
Finite element methods for large-strain poroelasticity/chemotaxis models simulating the formation of myocardial oedema, A Decoupling and Linearizing Discretization for Weakly Coupled Poroelasticity with Nonlinear Permeability, Multiscale finite volume method for finite-volume-based simulation of poroelasticity, An iterative staggered scheme for phase field brittle fracture propagation with stabilizing parameters, 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, Parameter-Robust Convergence Analysis of Fixed-Stress Split Iterative Method for Multiple-Permeability Poroelasticity Systems, 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, A modified L-scheme to solve nonlinear diffusion problems, Monolithic and splitting solution schemes for fully coupled quasi-static thermo-poroelasticity with nonlinear convective transport, A posteriori error estimates for Biot system using enriched Galerkin for flow, Uniformly well-posed hybridized discontinuous Galerkin/hybrid mixed discretizations for Biot's consolidation model, On the Convergence of Flow and Mechanics Iterative Coupling Schemes in Fractured Heterogeneous Poro-Elastic Media, Virtual element methods for the three-field formulation of time-dependent linear poroelasticity, Iterative solvers for Biot model under small and large deformations, Approximate inverse-based block preconditioners in poroelasticity, A moving finite element framework for fast infiltration in nonlinear poroelastic media, Efficient solvers for hybridized three-field mixed finite element coupled poromechanics, A new sequential method for three-phase immiscible flow in poroelastic media, A Relaxed Physical Factorization Preconditioner for Mixed Finite Element Coupled Poromechanics, Enhanced relaxed physical factorization preconditioner for coupled poromechanics, A two-level multiphysics finite element method for a nonlinear poroelasticity model, Parallel inexact Newton-Krylov and quasi-Newton solvers for nonlinear elasticity, Convergence of single rate and multirate undrained split iterative schemes for a fractured Biot model, Robust Linear Domain Decomposition Schemes for Reduced Nonlinear Fracture Flow Models
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convergence of iterative coupling of geomechanics with flow in a fractured poroelastic medium
- 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
- Newton method for reactive solute transport with equilibrium sorption in porous media
- Diffusion in poro-elastic media
- A study on iterative methods for solving Richards' equation
- Scalable algorithms for three-field mixed finite element coupled poromechanics
- Mixed finite elements for the Richards' equation: linearization procedure
- Formulation and finite element implementation of a multiplicative model of coupled poro-plasticity at finite strains under fully saturated conditions
- Convergence analysis for a mixed finite element scheme for flow in strictly unsaturated porous media
- Convergence analysis of multirate fixed-stress split iterative schemes for coupling flow with geomechanics
- Phase-field modeling of proppant-filled fractures in a poroelastic medium
- Space-time finite element approximation of the Biot poroelasticity system with iterative coupling
- A robust linearization scheme for finite volume based discretizations for simulation of two-phase flow in porous media
- Block-partitioned solvers for coupled poromechanics: a unified framework
- Stability and monotonicity for some discretizations of the Biot's consolidation model
- A coupling of mixed and continuous Galerkin finite element methods for poroelasticity. I: The continuous in time case
- Stable Cell-Centered Finite Volume Discretization for Biot Equations
- Convergence Analysis of Mixed Numerical Schemes for Reactive Flow in a Porous Medium
- Theory of the dynamic Biot-Allard equations and their link to the quasi-static Biot system
- Theory of Elasticity and Consolidation for a Porous Anisotropic Solid
- Iteratively coupled mixed and Galerkin finite element methods for poro‐elasticity
- Unconditionally stable staggered solution procedure for soil-pore fluid interaction problems
- A new unconditionally stable fractional step method for non‐linear coupled thermomechanical problems
- Finite element modelling of three‐phase flow in deforming saturated oil reservoirs
- A robust, mass conservative scheme for two-phase flow in porous media including Hölder continuous nonlinearities
- Mathematical Modeling in Continuum Mechanics
- Accelerating the convergence of coupled geomechanical-reservoir simulations
- A minimal stabilisation procedure for mixed finite element methods
