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Mortar finite element discretization of a model coupling Darcy and Stokes equations

 

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Opened Access Mortar finite element discretization of a model coupling Darcy and Stokes equations
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Author: Bernardi, Christine
Chacón Rebollo, Tomás
Hecht, Frédéric
Mghazli, Zoubida
Department: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Date: 2008
Published in: ESAIM: Mathematical Modelling and Numerical Analysis, 42(3), 375-410
Document type: Article
Abstract: 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.
Size: 1.085Mb
Format: PDF

URI: http://hdl.handle.net/11441/41314

DOI: 10.1051/m2an:2008009

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