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Applicable Analysis
An International Journal
Volume 88, 2009 - Issue 10-11: Mathematical Modelling and Numerical Simulation of Flow and Transport in Porous Media
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Original Articles

A numerical method for waste repository problems with non-standard interface condition

A. Agouzal Institut Camille Jordan, Université de Lyon; Université Lyon 1; CNRS, UMR5208, 43 blvd du 11 novembre 1918, F-69622, Villeurbanne-Cedex, Lyon, France
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N. Debit Institut Camille Jordan, Université de Lyon; Université Lyon 1; CNRS, UMR5208, 43 blvd du 11 novembre 1918, F-69622, Villeurbanne-Cedex, Lyon, France
&
O. Gipouloux Institut Camille Jordan, Université de Lyon; Université Lyon 1; CNRS, UMR5208, 43 blvd du 11 novembre 1918, F-69622, Villeurbanne-Cedex, Lyon, France; Département de mathématiques;, Université Saint Etienne, 42023 Cedex, Saint Etienne, FranceCorrespondence[email protected]
Pages 1431-1443 | Received 14 Jan 2009, Accepted 12 Mar 2009, Published online: 17 Nov 2009
 
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Abstract

A conservative method to solve waste repository problems with non-standard interface conditions is presented. One hereby obtains a coupled system, in which all matching conditions remain implicit. A numerical scheme is proposed and stability analysis as well as error estimates are provided.

Acknowledgement

The work of the authors has been partially supported by the grant from the CNRS/ANDRA/BRGM/CEA/EDF/IRSN GNR 2439, and the European Integrated Project PAMINA no 036404.

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