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Stabilization of Galerkin approximations of transport equations by subgrid modeling

Published online by Cambridge University Press:  15 August 2002

Jean-Luc Guermond
Jean-Luc Guermond*
Affiliation:
LIMSI, CNRS-UPR 3152, BP 133, 91403 Orsay, France. guermond@limsi.fr.
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Abstract

This paper presents a stabilization technique for approximating transport equations. The key idea consists in introducing an artificial diffusion based on a two-level decomposition of the approximation space.The technique is proved to have stability and convergenceproperties that are similar to that of the streamline diffusion method.

Keywords

Linear hyperbolic equationshierarchical finite elementsstabilizationsubgrid modelingartificial viscosity.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 33 , Issue 6 , November 1999 , pp. 1293 - 1316
Copyright
© EDP Sciences, SMAI, 1999

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