Singular perturbation with a reduced approximation order in space for the transport equation
Résumé
This work is devoted to singular transport phenomena by convection with fast-low time scales, or to transport in porous media with vanishing discontinuous porosities. For P1-P0 Finite element, by using a reduction of the approximation order for the time differential operator, we propose a numerical method which does not have any oscillations in the neighborhood of the coefficient discontinuity. Error estimates of order one with respect to space are provided. Euler explicit and implicit time schemes are proposed, and by considering a toy problem, the order one of convergence with respect to time and space is checked.
Domaines
Analyse numérique [math.NA]Origine | Fichiers produits par l'(les) auteur(s) |
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