In this work we show some results about the reduced basis approximation of advection dominated parametrized problems, i.e. advection-diffusion problems with high Péclet number. These problems are of great importance in several engineering applications and it is well known that their numerical approximation can be affected by instability phenomena. In this work we compare two possible stabilization strategies in the framework of the reduced basis method, by showing numerical results obtained for a steady advection-diffusion problem.

@ARTICLE{PacciariniRozza2015,
author = {Pacciarini, P. and Rozza, G.},
title = {Reduced basis approximation of parametrized advection-diffusion {PDE}s
with high {P}\'eclet number},
journal = {Lecture Notes in Computational Science and Engineering},
year = {2015},
volume = {103},
pages = {419--426},
doi = {10.1007/978-3-319-10705-9__41},
}