A parameter-robust iterative method for Stokes–Darcy problems retaining local mass conservation

DOI10.1051/m2an/2020035zbMath1486.65279arXiv2209.13421OpenAlexW3020919452MaRDI QIDQ4994010

W. M. Boon

Publication date: 11 June 2021

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.13421

zbMATH Keywords

mixed finite element methodmortar methodcoupled porous media and fluid flowrobust preconditioner

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Flows in porous media; filtration; seepage (76S05) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Preconditioners for iterative methods (65F08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items

Robust Monolithic Solvers for the Stokes--Darcy Problem with the Darcy Equation in Primal Form ⋮ Flux-mortar mixed finite element methods with multipoint flux approximation ⋮ Flux-Mortar Mixed Finite Element Methods on NonMatching Grids

Uses Software

• FEniCS
• SyFi

Cites Work

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• On numerical simulation of flow through oil filters
• Automated solution of differential equations by the finite element method. The FEniCS book
• Multirate time integration for coupled saturated/unsaturated porous medium and free flow systems
• Coupling compositional liquid gas Darcy and free gas flows at porous and free-flow domains interface
• Navier-Stokes/Darcy coupling: modeling, analysis, and numerical approximation
• Two families of mixed finite elements for second order elliptic problems
• A unified mixed finite element approximations of the Stokes-Darcy coupled problem
• Coupling staggered-grid and MPFA finite volume methods for free flow/porous-medium flow problems
• Unified approach to discretization of flow in fractured porous media
• Robin-Robin domain decomposition methods for the steady-state Stokes-Darcy system with the Beavers-Joseph interface condition
• Preconditioners for Saddle Point Systems with Trace Constraints Coupling 2D and 1D Domains
• Preconditioning discretizations of systems of partial differential equations
• Analysis of fully-mixed finite element methods for the Stokes-Darcy coupled problem
• Robin–Robin Domain Decomposition Methods for the Stokes–Darcy Coupling
• A conforming mixed finite-element method for the coupling of fluid flow with porous media flow
• Unified finite element discretizations of coupled Darcy-Stokes flow
• Analysis of Some Finite Elements for the Stokes Problem
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Coupling Fluid Flow with Porous Media Flow
• Mixed Finite Element Methods on Nonmatching Multiblock Grids
• Optimized Schwarz methods for the Stokes–Darcy coupling
• Robust Discretization of Flow in Fractured Porous Media
• Multigrid Methods for Discrete Fractional Sobolev Spaces
• Locally Conservative Coupling of Stokes and Darcy Flows
• Iterative Methods for Stokes/Darcy Coupling
• Mixed Finite Element Methods and Applications
• Heterogeneous Optimized Schwarz Methods for Second Order Elliptic PDEs
• On the Conditions for Coupling Free Flow and Porous-Medium Flow in a Finite Volume Framework