The one-dimensional linear singularly perturbed convection-diffusion problemis discretized using the upwind scheme on a mesh which isa mild generalization of Shishkin-type meshes. The generalized mesh usesthe transition point of the Shishkin mesh, but it does not requireany structure of its fine and course parts. Convergence uniform in theperturbation parameter is proved by the barrier-function technique, which,because of the unstructured mesh, does not rely on any mesh-generating function.In this way, the technical requirements needed in the existing barrier-functionapproaches are simplified.
@article{7880,
title = {A NOTE ON A GENERALIZED SHISHKIN-TYPE MESH},
journal = {Novi Sad Journal of Mathematics},
volume = {48},
year = {2018},
language = {EN},
url = {http://dml.mathdoc.fr/item/7880}
}
Nhan, Thai Anh; Vulanovic, Relja. A NOTE ON A GENERALIZED SHISHKIN-TYPE MESH. Novi Sad Journal of Mathematics, Tome 48 (2018) . http://gdmltest.u-ga.fr/item/7880/