A mortar method for the coupled Stokes-Darcy problem using the MAC scheme for Stokes and mixed finite elements for Darcy

Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Cites Work

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Convergence analysis of a subdomain iterative method for the finite element approximation of the coupling of Stokes and Darcy equations
Domain decomposition for coupled Stokes and Darcy flows
Non-matching mortar discretization analysis for the coupling Stokes-Darcy equations
The superconvergence phenomenon and proof of the MAC scheme for the Stokes equations on non-uniform rectangular meshes
FETI and BDD preconditioners for Stokes-Mortar-Darcy systems
A strongly conservative finite element method for the coupling of Stokes and Darcy flow
Finite volume discretization with imposed flux continuity for the general tensor pressure equation
Convergence of the MAC scheme for the Stokes/Darcy coupling problem
Mathematical and numerical models for coupling surface and groundwater flows
Superconvergence of MAC scheme for a coupled free flow-porous media system with heat transport on non-uniform grids
A MAC scheme for coupled Stokes-Darcy equations on non-uniform grids
Coupling staggered-grid and MPFA finite volume methods for free flow/porous-medium flow problems
A computational method for approximating a Darcy-Stokes system governing a vuggy porous medium
Mortar multiscale finite element methods for Stokes-Darcy flows
Convergence of a symmetric MPFA method on quadrilateral grids
Flux-mortar mixed finite element methods with multipoint flux approximation
A multiscale mortar multipoint flux mixed finite element method
Coupling surface and subsurface flows with curved interfaces
A Multipoint Flux Mixed Finite Element Method on Hexahedra
Convergence of the MAC Scheme for the Compressible Stokes Equations
Analysis of fully-mixed finite element methods for the Stokes-Darcy coupled problem
A Parallel Robin–Robin Domain Decomposition Method for the Stokes–Darcy System
Coupling Stokes–Darcy Flow with Transport
Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
Mortar finite element discretization of a model coupling Darcy and Stokes equations
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
Mixed and Hybrid Finite Element Methods
Analysis and Convergence of the MAC Scheme. I. The Linear Problem
A New Mixed Finite Element Formulation and the MAC Method for the Stokes Equations
Discretization on Unstructured Grids for Inhomogeneous, Anisotropic Media. Part I: Derivation of the Methods
Coupling Fluid Flow with Porous Media Flow
Analysis of a domain decomposition method for the coupling of Stokes and Darcy equations
Mixed Finite Element Methods on Nonmatching Multiblock Grids
Locally Conservative Coupling of Stokes and Darcy Flows
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Finite-element error estimates for the MAC scheme
A parameter-robust iterative method for Stokes–Darcy problems retaining local mass conservation
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A Multipoint Flux Mixed Finite Element Method
Divergence‐free discontinuous Galerkin schemes for the Stokes equations and the MAC scheme
A Multiscale Mortar Mixed Finite Element Method
Flux-Mortar Mixed Finite Element Methods on NonMatching Grids

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