An adaptive stabilized finite element method for the Stokes-Darcy coupled problem
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Publication:6489265
DOI10.1016/J.CAM.2024.115753MaRDI QIDQ6489265
Abner H. Poza, Rodolfo A. Araya, Eduardo Vino, Cristian Cárcamo
Publication date: 19 April 2024
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
a posteriori error analysisstabilized finite element methoda priori error analysiscoupled Stokes-Darcy equation
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Flows in porous media; filtration; seepage (76Sxx)
Cites Work
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- Equal-order finite elements with local projection stabilization for the Darcy-brinkman equations
- A unified stabilized mixed finite element method for coupling Stokes and Darcy flows
- A residual-based a posteriori error estimator for a fully-mixed formulation of the Stokes-Darcy coupled problem
- Automated solution of differential equations by the finite element method. The FEniCS book
- Stabilized low order finite elements for Stokes equations with damping
- Numerical analysis of the Navier-Stokes/Darcy coupling
- A computational study of stabilized, low-order \(C^{0}\) finite element approximations of Darcy equations
- A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- On boundary conditions for fluid flow in porous media
- Stabilized finite element method for the stationary mixed Stokes-Darcy problem
- Mathematical and numerical models for coupling surface and groundwater flows
- An unusual stabilized finite element method for a generalized Stokes problem
- On the use of divergence balanced \(\mathbf{H}(\operatorname{div})\)-\(L^2\) pair of approximation spaces for divergence-free and robust simulations of Stokes, coupled Stokes-Darcy and Brinkman problems
- A stabilizer free WG method for the Stokes equations with order two superconvergence on polytopal mesh
- A unified mixed finite element approximations of the Stokes-Darcy coupled problem
- An adaptive stabilized finite element method for the Darcy's equations with pressure dependent viscosities
- A stabilized cut finite element method for the Darcy problem on surfaces
- A unified stabilized method for Stokes' and Darcy's equations
- A stabilized finite element method based on two local Gauss integrations for the Stokes equations
- An adaptive stabilized finite element method for the generalized Stokes problem
- Coupling Stokes and Darcy equations
- New fully-mixed finite element methods for the Stokes-Darcy coupling
- Coupling of Darcy–Forchheimer and Compressible Navier–Stokes Equations with Heat Transfer
- Coupled Generalized Nonlinear Stokes Flow with Flow through a Porous Medium
- Unified Stabilized Finite Element Formulations for the Stokes and the Darcy Problems
- A conforming mixed finite-element method for the coupling of fluid flow with porous media flow
- Error Analysis of Galerkin Least Squares Methods for the Elasticity Equations
- Coupling Fluid Flow with Porous Media Flow
- A new finite-element discretization of the Stokes problem coupled with the Darcy equations
- Analysis of a stabilized penalty-free Nitsche method for the Brinkman, Stokes, and Darcy problems
- Stabilization of Low-order Mixed Finite Elements for the Stokes Equations
- A lowest-order staggered DG method for the coupled Stokes–Darcy problem
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