Approximation of the Stokes-Darcy system by optimization
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Publication:461267
DOI10.1007/s10915-013-9779-8zbMath1297.76054OpenAlexW2064882189MaRDI QIDQ461267
Eleanor W. Jenkins, Vincent J. Ervin, Hyesuk Kwon Lee
Publication date: 10 October 2014
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-013-9779-8
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) 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)
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Cites Work
- Unnamed Item
- Unnamed Item
- Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems
- Primal discontinuous Galerkin methods for time-dependent coupled surface and subsurface flow
- Coupling nonlinear Stokes and Darcy flow using mortar finite elements
- Optimal control for quasi-Newtonian flows with defective boundary conditions
- Non-matching mortar discretization analysis for the coupling Stokes-Darcy equations
- FETI and BDD preconditioners for Stokes-Mortar-Darcy systems
- A discretization and multigrid solver for a Darcy-Stokes system of three dimensional vuggy porous media
- Mathematical and numerical models for coupling surface and groundwater flows
- An optimization based domain decomposition method for partial differential equations
- 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
- An optimization-based domain decomposition method for the Boussinesq equations
- Numerical Solution to a Mixed Navier–Stokes/Darcy Model by the Two-Grid Approach
- Mortar finite element discretization of a model coupling Darcy and Stokes equations
- Robin–Robin Domain Decomposition Methods for the Stokes–Darcy Coupling
- Coupled Generalized Nonlinear Stokes Flow with Flow through a Porous Medium
- Coupling Fluid Flow with Porous Media Flow
- Numerical approximation of generalized Newtonian fluids using Powell-Sabin-Heindl elements: I. theoretical estimates
- On The Interface Boundary Condition of Beavers, Joseph, and Saffman
- An Optimization-Based Domain Decomposition Method for the Navier--Stokes Equations
- Locally Conservative Coupling of Stokes and Darcy Flows
- ARTIFICIAL BOUNDARIES AND FLUX AND PRESSURE CONDITIONS FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
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