Finite element method for the Stokes-Darcy problem with a new boundary condition
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Publication:5048142
DOI10.15372/SJNM20200205zbMath1502.76059OpenAlexW4253270087MaRDI QIDQ5048142
Hassan El Amri, Omar El Moutea, Abdeslam Elakkad
Publication date: 15 November 2022
Published in: Сибирский журнал вычислительной математики (Search for Journal in Brave)
Full work available at URL: http://mathnet.ru/eng/sjvm741
convergenceporous medium flowstabilized mixed finite element methodBeavers-Joseph interface boundary conditionwell-posed finite element scheme
Flows in porous media; filtration; seepage (76S05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element methods applied to problems in fluid mechanics (76M10)
Uses Software
Cites Work
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- A two-grid decoupling method for the mixed Stokes-Darcy model
- A unified stabilized mixed finite element method for coupling Stokes and Darcy flows
- Refined saddle-point preconditioners for discretized Stokes problems
- Convergence analysis of a subdomain iterative method for the finite element approximation of the coupling of Stokes and Darcy equations
- Numerical analysis of the Navier-Stokes/Darcy coupling
- Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition
- Numerical modeling of the flow and transport of radionuclides in heterogeneous porous media
- A stable finite element for the Stokes equations
- Analysis of the boundary condition at the interface between a viscous fluid and a porous medium and related modelling questions
- Local and parallel finite element method for the mixed Navier-Stokes/Darcy model with Beavers-Joseph interface conditions
- High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
- Mathematical and numerical models for coupling surface and groundwater flows
- A computational method for approximating a Darcy-Stokes system governing a vuggy porous medium
- Robin-Robin domain decomposition methods for the steady-state Stokes-Darcy system with the Beavers-Joseph interface condition
- A unified stabilized method for Stokes' and Darcy's equations
- Discontinuous Galerkin and mimetic finite difference methods for coupled Stokes-Darcy flows on polygonal and polyhedral grids
- Coupling Stokes and Darcy equations
- Error-bounds for finite element method
- New fully-mixed finite element methods for the Stokes-Darcy coupling
- A posteriori error control in low-order finite element discretisations of incompressible stationary flow problems
- Partitioned Time Stepping Method for Fully Evolutionary Stokes--Darcy Flow with Beavers--Joseph Interface Conditions
- Finite Elements and Fast Iterative Solvers
- Convergence of a family of Galerkin discretizations for the Stokes-Darcy coupled problem
- AN A POSTERIORI ERROR ESTIMATE FOR MIXED FINITE ELEMENT APPROXIMATIONS OF THE NAVIER-STOKES EQUATIONS
- Efficient rectangular mixed finite elements in two and three space variables
- Numerical Solution to a Mixed Navier–Stokes/Darcy Model by the Two-Grid Approach
- Analysis of fully-mixed finite element methods for the Stokes-Darcy coupled problem
- A Posteriori Error Estimators for the Stokes and Oseen Equations
- On the Boundary Condition at the Surface of a Porous Medium
- A Posteriori Error Estimates for the Stokes Problem
- Numerical solution of saddle point problems
- A Domain Decomposition Method for the Steady-State Navier--Stokes--Darcy Model with Beavers--Joseph Interface Condition
- Numerical analysis for the mixed <scp>N</scp>avier–<scp>S</scp>tokes and <scp>D</scp>arcy Problem with the <scp>B</scp>eavers–<scp>J</scp>oseph interface condition
- A Two-Grid Method of a Mixed Stokes–Darcy Model for Coupling Fluid Flow with Porous Media Flow
- DG Approximation of Coupled Navier–Stokes and Darcy Equations by Beaver–Joseph–Saffman Interface Condition
- Decoupled schemes for a non-stationary mixed Stokes-Darcy model
- Mixed and Hybrid Finite Element Methods
- Domain Decomposition Methods for Solving Stokes--Darcy Problems with Boundary Integrals
- A decoupling two‐grid algorithm for the mixed Stokes‐Darcy model with the Beavers‐Joseph interface condition
- Incompressible Computational Fluid Dynamics
