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Optimized Neumann-Neumann Method for the Stokes-Darcy Problem
The Stokes-Darcy problem [9, 15] is a good example of multi-physics problem where splitting methods typical of domain decomposition naturally apply.
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Robust and Efficient Preconditioners for Stokes–Darcy Problems
Coupled systems of porous media and free flow can be modelled by the Stokes equations in the free-flow domain, Darcy’s law in the porous medium, and...
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A rotational pressure-correction discontinuous Galerkin scheme for the Cahn-Hilliard-Darcy-Stokes system
This paper is devoted to the numerical approximations of the Cahn-Hilliard-Darcy-Stokes system, which is a combination of the modified Cahn-Hilliard...
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The Well-Posedness and Discontinuous Galerkin Approximation for the Non-Newtonian Stokes–Darcy–Forchheimer Coupling System
We study the non-Newtonian Stokes–Darcy–Forchheimer system modeling the free fluid coupled with the porous medium flow with shear/velocity-dependent...
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Coupled and Decoupled Stabilized Finite Element Methods for the Stokes–Darcy-Transport Problem
In this paper, we propose and analyze two stabilized finite element schemes for the Stokes–Darcy-transport model. The first stabilized method is a...
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Dimensional Reduction by Fourier Analysis of a Stokes-Darcy Fracture Model
We consider a Stokes flow along a thin fracture coupled to a Darcy flow in the surrounding matrix domain. In order to derive a dimensionally reduced...
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Fast and Accurate Artificial Compressibility Ensemble Algorithms for Computing Parameterized Stokes–Darcy Flow Ensembles
Accurate simulations of the Stokes–Darcy system face many difficulties including the coupling of flows in two different subdomains via interface...
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On the Weak Solutions to Steady-State Mixed Navier—Stokes/Darcy Model
In this paper, for the mixed Navier—Stokes/Darcy model with Beavers—Joseph—Saffman’s interface condition, we first establish an a priori estimate for...
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Stokes–Brinkman–Darcy Models for Coupled Free-Flow and Porous-Medium Systems
Coupled systems involving free flow and porous medium have gained significant attention in recent years due to their prevalence in environment and...
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On the Conditions at the Interface Between Homogeneous and Porous Environments for the Stokes–Darcy Problem
AbstractTwo widely used boundary conditions at the interface between the free fluid and porous medium, prescribing either continuity of the normal...
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Numerical Analysis of a BDF2 Modular Grad-Div Stability Method for the Stokes/Darcy Equations
In this paper, a BDF2 modular grad-div algorithm for the Stokes/Darcy model is constructed. This method not only effectively avoids solver breakdown,...
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Optimal Convergence Analysis of a Fully Discrete Scheme for the Stochastic Stokes–Darcy Equations
In this paper, we consider numerical analysis for a fully discrete scheme for the stochastic Stokes–Darcy equations with multiplicative noise....
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Spectral discretization of Darcy equations coupled with navier-stokes equations by vorticity-velocity-pressure formulation
We consider a model coupling the Darcy equations in a porous medium with the Navier-Stokes equations in the cracks, for which the coupling is...
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Justification of Generalized Interface Conditions for Stokes–Darcy Problems
For accurate modeling and numerical simulation of free-flow and porous-medium flow systems, the correct choice of coupling conditions at the common...
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Optimized Schwarz Methods for Stokes-Darcy Flows: the Brinkman Equations
The Brinkman equations model a combination of Darcy’s law and the Navier-Stokes equations, see [3].
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Local and Parallel Finite Element Methods Based on Two-grid Discretizations for a Transient Coupled Navier-Stokes/Darcy Model
In this paper, some local and parallel finite element methods based on two-grid methods are presented for the non-stationary Navier-Stokes/Darcy...
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A weak Galerkin-mixed finite element method for the Stokes-Darcy problem
In this paper, we propose a new numerical scheme for the coupled Stokes-Darcy model with the Beavers-Joseph-Saffman interface condition. We use the...
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Variational interior and interface transmission conditions: multidomain mixed Darcy/Stokes control problems
Multidomain mixed pairs of coupled stationary constrained boundary value problems, are formulated variationally in frameworks of reflexive Banach...
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A New Local and Parallel Finite Element Method for the Coupled Stokes–Darcy Model
In this paper, based on two-grid discretizations and superposition principle, a new local and parallel finite element method is presented and studied...
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A Compatible Embedded-Hybridized Discontinuous Galerkin Method for the Stokes-Darcy-Transport Problem
We present a stability and error analysis of an embedded-hybridized discontinuous Galerkin (EDG-HDG) finite element method for coupled Stokes-Darcy...
