Robust preconditioning for coupled Stokes-Darcy problems with the Darcy problem in primal form

DOI10.1016/j.camwa.2020.08.021OpenAlexW3087532074MaRDI QIDQ2027615

Miroslav Kuchta, Karl Erik Holter, Kent-André Mardal

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/2001.05529

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (6)

Parameter-robust methods for the Biot-Stokes interfacial coupling without Lagrange multipliers ⋮ On GSOR, the Generalized Successive Overrelaxation Method for Double Saddle-Point Problems ⋮ Block Preconditioners for the Marker-and-Cell Discretization of the Stokes–Darcy Equations ⋮ Two block preconditioners for a class of double saddle point linear systems ⋮ Robust and Efficient Preconditioners for Stokes–Darcy Problems ⋮ Editorial: Robust and reliable finite element methods in poromechanics

Uses Software

• hypre
• SLEPc
• PETSc
• FEniCS
• SyFi

Cites Work

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• Automated solution of differential equations by the finite element method. The FEniCS book
• Navier-Stokes/Darcy coupling: modeling, analysis, and numerical approximation
• Preconditioning techniques for a mixed Stokes/Darcy model in porous medium applications
• Non-matching mortar discretization analysis for the coupling Stokes-Darcy equations
• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• A robust multigrid method for discontinuous Galerkin discretizations of Stokes and linear elasticity equations
• Stabilized Crouzeix-Raviart element for the coupled Stokes and Darcy problem
• Sub-voxel perfusion modeling in terms of coupled \(3d\)-\(1d\) problem
• A computational method for approximating a Darcy-Stokes system governing a vuggy porous medium
• A unified stabilized method for Stokes' and Darcy's equations
• The finite element method with Lagrangian multipliers
• A robust nonconforming $H^2$-element
• Uniformly Stable Discontinuous Galerkin Discretization and Robust Iterative Solution Methods for the Brinkman Problem
• Preconditioners for Saddle Point Systems with Trace Constraints Coupling 2D and 1D Domains
• Preconditioning discretizations of systems of partial differential equations
• SLEPc
• 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
• Coupling Fluid Flow with Porous Media Flow
• Analysis of a domain decomposition method for the coupling of Stokes and Darcy equations
• On The Interface Boundary Condition of Beavers, Joseph, and Saffman
• Multigrid Methods for Discrete Fractional Sobolev Spaces
• A family of nonconforming elements for the Brinkman problem
• Locally Conservative Coupling of Stokes and Darcy Flows
• A Robust Finite Element Method for Darcy--Stokes Flow
• A proof of the trace theorem of Sobolev spaces on Lipschitz domains
• Computational scales of Sobolev norms with application to preconditioning
• Finite Difference Approximation for Pricing the American Lookback Option

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