Paper Info
Title
On a convection-diffusion problem with a weak layer
Abstract
In this article we consider a model linear convection-diffusion problem with a weak layer. We analyze the singular-perturbation nature of the problem and show that no special precautions are required to cope with the weak layer: a standard upwind scheme on a (quasi-)uniform mesh is sufficient. We give a simple analysis for the method. Thus highlighting that not all problems with a small parameter multiplying the highest-order derivative are suitable for studying boundary-layer phenomena.
Year
DOI
Venue
2005
10.1016/j.amc.2003.12.001
Applied Mathematics and Computation
Keywords
DocType
Volume
singular perturbation,finite differences,convection–diffusion,convection-diffusion
Journal
160
Issue
ISSN
Citations 
3
Applied Mathematics and Computation
1
PageRank 
References 
Authors
0.35
2
1
Name
Order
Citations
PageRank
Torsten Linß16814.77