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ICIAM, Vancouver : Canada (2011)
Continuous enrichment for advection-dominated problems
Arnaud Krust 1, 2, Remi Abgrall 1, 2
(21/07/2011)

We are interested in advection-diffusion problems with high Peclet number when shock like structure in the domain and strong boundary-layers both exist. This boundary-layer, though very thin, concentrates most degrees of freedom to get acceptable accuracy. We aim at designing a numerical framework able to reduce dramaticaly their number in the boundary-layer. This is done via a stabilized enriched finite elements method with Lagrange multipliers to enforce boundary conditions.
1 :  BACCHUS (INRIA Bordeaux - Sud-Ouest)
INRIA – Université de Bordeaux – CNRS : UMR5800
2 :  Institut de Mathématiques de Bordeaux (IMB)
CNRS : UMR5251 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II
Mathématiques/Analyse numérique
enrichment – finite elements method – advection-diffusion