@inproceedings{70b8f01387324301b5171d3eb052cffc,
title = "Numerical Results for Singularly Perturbed Convection-Diffusion Problems on an Annulus",
abstract = "Numerical methods for singularly perturbed convection-diffusion problems posed on annular domains are constructed and their performance is examined for a range of small values of the singular perturbation parameter. A standard polar coordinate transformation leads to a transformed elliptic operator containing no mixed second order derivative and the transformed problem is then posed on a rectangular domain. In the radial direction, a piecewise-uniform Shishkin mesh is used. This mesh captures any boundary layer appearing near the outflow boundary. The performance of such a method is examined in the presence or absence of compatibility constraints at characteristic points, which are associated with the reduced problem.",
author = "Hegarty, {Alan F.} and Eugene O{\textquoteright}Riordan",
note = "Publisher Copyright: {\textcopyright} 2017, Springer International Publishing AG.; International Conference on Boundary and Interior Layers, Computational and Asymptotic Methods, BAIL 2016 ; Conference date: 15-08-2016 Through 19-08-2016",
year = "2017",
doi = "10.1007/978-3-319-67202-1_8",
language = "English",
isbn = "9783319672014",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer Verlag",
pages = "101--112",
editor = "Martin Stynes and Zhimin Zhang and Zhongyi Huang",
booktitle = "Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2016",
}