Mortar finite element discretization of a model coupling Darcy and Stokes equations
ESAIM: Modélisation mathématique et analyse numérique, Tome 42 (2008) no. 3, pp. 375-410.

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 via 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 a priori and a posteriori error estimates for the resulting discrete problem. Some numerical experiments confirm the interest of the discretization.

DOI : 10.1051/m2an:2008009
Classification : 65N30, 65N55, 76M10
Mots clés : Mortar method, finite elements, Darcy equations, Stokes equations
Bernardi, Christine  ; Rebollo, Tomás Chacón  ; Hecht, Frédéric  ; Mghazli, Zoubida 1

1 Équipe d’Ingénierie Mathématique, LIRNE, Faculté des Sciences, Université Ibn Tofail, B.P. 133, Kénitra, Morocco.
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     title = {Mortar finite element discretization of a model coupling {Darcy} and {Stokes} equations},
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Bernardi, Christine; Rebollo, Tomás Chacón; Hecht, Frédéric; Mghazli, Zoubida. Mortar finite element discretization of a model coupling Darcy and Stokes equations. ESAIM: Modélisation mathématique et analyse numérique, Tome 42 (2008) no. 3, pp. 375-410. doi : 10.1051/m2an:2008009. http://www.numdam.org/articles/10.1051/m2an:2008009/

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