Two-grid finite-element schemes for the steady Navier-Stokes problem in polyhedra.
Girault, V., Lions, J.-L. (2001)
Portugaliae Mathematica. Nova Série
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Girault, V., Lions, J.-L. (2001)
Portugaliae Mathematica. Nova Série
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Christine Bernardi, Tomás Chacón Rebollo, Frédéric Hecht, Zoubida Mghazli (2008)
ESAIM: Mathematical Modelling and Numerical Analysis
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As a first draft of a model for a river flowing on a homogeneous porous ground, we consider a system where the Darcy and Stokes equations are coupled appropriate matching conditions on the interface. We propose a discretization of this problem which combines the mortar method with standard finite elements, in order to handle separately the flow inside and outside the porous medium. We prove and error estimates for the resulting discrete problem. Some numerical experiments confirm...