Numerical Analysis
A mortar element method for hyperbolic problems
Comptes Rendus. Mathématique, Volume 338 (2004) no. 3, pp. 249-254.

A non-conforming finite element method based on non-overlapping domain decomposition is extended to linear hyperbolic problems. The method is based on streamline-diffusion/discontinuous Galerkin methods and the mortar element method. A weak flux continuity condition at the inflow interface is enforced by means of Lagrange multipliers. This weak flux continuity condition replaces the usual mortar condition for elliptic problems, and allows non-matching grids at the subdomain interfaces.

Une méthode d'éléments finis non conforme basée sur une décomposition de domaine est étendue aux problèmes hyperboliques linéaires. Cette méthode combine les techniques de « streamline diffusion », d'éléments finis discontinus et la méthode de joint. La continuité du flux est imposée faiblement sur la portion entrante de l'interface entre les sous-domaines. Cette condition faible de conservation des flux remplace la condition de joint usuelle pour les problèmes elliptiques, et permet l'usage de maillages non conformes sur les interfaces entre les sous-domaines.

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DOI: 10.1016/j.crma.2003.11.027
Bourgault, Yves 1; El Boukili, Abderrazzak 1

1 Department of Mathematics and Statistics, University of Ottawa, Ottawa, ON, K1N 6N5, Canada
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Bourgault, Yves; El Boukili, Abderrazzak. A mortar element method for hyperbolic problems. Comptes Rendus. Mathématique, Volume 338 (2004) no. 3, pp. 249-254. doi : 10.1016/j.crma.2003.11.027. http://www.numdam.org/articles/10.1016/j.crma.2003.11.027/

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This work was supported by a NSERC Research Grant.