Convergence analysis of a subdomain iterative method for the finite element approximation of the coupling of Stokes and Darcy equations
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Publication:706532
DOI10.1007/s00791-003-0113-0zbMath1299.76252OpenAlexW2096410586WikidataQ56996484 ScholiaQ56996484MaRDI QIDQ706532
Marco Discacciati, Alfio M. Quarteroni
Publication date: 8 February 2005
Published in: Computing and Visualization in Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00791-003-0113-0
Navier-Stokes equations for incompressible viscous fluids (76D05) Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Finite element approximation of the Navier-Stokes equations
- A relaxation procedure for domain decomposition methods using finite elements
- Analysis of the boundary condition at the interface between a viscous fluid and a porous medium and related modelling questions
- Mathematical and numerical models for coupling surface and groundwater flows
- Mixed and Hybrid Finite Element Methods
- Coupling Fluid Flow with Porous Media Flow
- Analysis of a domain decomposition method for the coupling of Stokes and Darcy equations
- On The Interface Boundary Condition of Beavers, Joseph, and Saffman
- A domain decomposition approach to compute wave breaking (wave-breaking flows)