Monolithic and splitting solution schemes for fully coupled quasi-static thermo-poroelasticity with nonlinear convective transport
DOI10.1016/j.camwa.2020.08.022zbMath1451.74204arXiv1902.05783OpenAlexW3084012303MaRDI QIDQ2210618
Inga Berre, Jan Martin Nordbotten, Elyes Ahmed, Mats Kirkesæther Brun, Florin Adrian Radu
Publication date: 7 November 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.05783
convergencemixed finite elementscontraction mappingEuler time integrationfixed-stress splitting iterative coupling
Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Thermal effects in solid mechanics (74F05) Flows in porous media; filtration; seepage (76S05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods applied to problems in solid mechanics (74S20) Free convection (76R10)
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Cites Work
- Python
- Robust fixed stress splitting for Biot's equations in heterogeneous media
- Macroscopic constitutive equations of thermo-poroviscoelasticity derived using eigenstrains
- 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
- Convergence of iterative coupling for coupled flow and geomechanics
- A coupling of mixed and discontinuous Galerkin finite element methods for poroelasticity
- A parallel, implicit, cell-centered method for two-phase flow with a preconditioned Newton-Krylov solver
- Well-posedness of the fully coupled quasi-static thermo-poroelastic equations with nonlinear convective transport
- A study on iterative methods for solving Richards' equation
- Parameter-robust stability of classical three-field formulation of Biot's consolidation model
- Discontinuous Galerkin methods for coupled flow and reactive transport problems
- Robust iterative schemes for non-linear poromechanics
- Mixed finite elements for the Richards' equation: linearization procedure
- Adaptive higher-order space-time discontinuous Galerkin method for the computer simulation of variably-saturated porous media flows
- Unconditionally stable sequential schemes for all-way coupled thermoporomechanics: undrained-adiabatic and extended fixed-stress splits
- Adaptive poromechanics computations based on a posteriori error estimates for fully mixed formulations of Biot's consolidation model
- Splitting schemes for poroelasticity and thermoelasticity problems
- Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media
- A modified L-scheme to solve nonlinear diffusion problems
- A reduced fracture model for two-phase flow with different rock types
- Adaptive asynchronous time-stepping, stopping criteria, and a posteriori error estimates for fixed-stress iterative schemes for coupled poromechanics problems
- A linear domain decomposition method for partially saturated flow in porous media
- Flow and transport in fractured poroelastic media
- A robust linearization scheme for finite volume based discretizations for simulation of two-phase flow in porous media
- Splitting schemes with respect to physical processes for double-porosity poroelasticity problems
- Block-partitioned solvers for coupled poromechanics: a unified framework
- Thermoporoelasticity via homogenization: modeling and formal two-scale expansions
- A Simple Introduction to the Mixed Finite Element Method
- Convergence analysis of a new mixed finite element method for Biot's consolidation model
- Parameter-Robust Discretization and Preconditioning of Biot's Consolidation Model
- A unified approach for handling convection terms in finite volumes and mimetic discretization methods for elliptic problems
- An operator splitting approach for the interaction between a fluid and a multilayered poroelastic structure
- Convergence Analysis of a Mixed Finite Volume Scheme for an Elliptic-Parabolic System Modeling Miscible Fluid Flows in Porous Media
- A projection semi-implicit scheme for the coupling of an elastic structure with an incompressible fluid
- A computational strategy for thermo-poroelastic structures with a time-space interface coupling
- Conservative discretizations and parameter‐robust preconditioners for Biot and multiple‐network flux‐based poroelasticity models
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