Volume 42, Number 3, May-June 2008
|Page(s)||375 - 410|
|Published online||03 April 2008|
Mortar finite element discretization of a model coupling Darcy and Stokes equations
Laboratoire Jacques-Louis Lions, C.N.R.S.
& Université Pierre et Marie Curie, B.C. 187, 4 place Jussieu,
75252 Paris Cedex 05, France. firstname.lastname@example.org; email@example.com
2 Departamento de Ecuaciones Diferenciales y Análisis Numerico, Universidad de Sevilla, Tarfia s/n, 41012 Sevilla, Spain. firstname.lastname@example.org
3 Équipe d'Ingénierie Mathématique, LIRNE, Faculté des Sciences, Université Ibn Tofail, B.P. 133, Kénitra, Morocco. email@example.com
Revised: 3 October 2007
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.
Mathematics Subject Classification: 65N30 / 65N55 / 76M10
Key words: Mortar method / finite elements / Darcy equations / Stokes equations.
© EDP Sciences, SMAI, 2008
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.