Geodesic
A uniformly accurate finite volume discretization for a convection-diffusion problem
Electronic transactions on numerical analysis, Tome 13 (2002), pp. 1-11.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: A singularly perturbed convection-diffusion problem is considered. The problem is discretized using an inverse-monotone finite volume method on Shishkin meshes. We establish first-order convergence in a global energy norm and a mesh-dependent discrete energy norm, no matter how small the perturbation parameter. Numerical experiments support the theoretical results.
Classification : 65N30
Keywords: convection-diffusion problems, finite volume methods, singular perturbation, shishkin mesh 
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     author = {Wollstein, Dirk and Lin{\ss}, Torsten and Roos, Hans-G\"org},
     title = {A uniformly accurate finite volume discretization for a convection-diffusion problem},
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     pages = {1--11},
     publisher = {mathdoc},
     volume = {13},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2002__13__a7/}
}
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Wollstein, Dirk; Linß, Torsten; Roos, Hans-Görg. A uniformly accurate finite volume discretization for a convection-diffusion problem. Electronic transactions on numerical analysis, Tome 13 (2002), pp. 1-11. http://geodesic.mathdoc.fr/item/ETNA_2002__13__a7/