Paper Info
Title
Defect correction on Shishkin-type meshes
Abstract
We consider a defect-correction method that combines a first-order upwinded difference scheme with a second-order central difference scheme for a model singularly perturbed convection–diffusion problem in one dimension on a class of Shishkin-type meshes. The method is shown to be convergent, uniformly in the diffusion parameter e, of second order in the discrete maximum norm. As a corollary we derive error bounds for the gradient approximation of the upwind scheme. Numerical experiments support our theoretical results.
Year
DOI
Venue
2001
10.1023/A:1016664926018
Numerical Algorithms
Keywords
DocType
Volume
convection–diffusion problems,defect correction,singular perturbation,Shishkin-type mesh
Journal
26
Issue
ISSN
Citations 
3
1572-9265
6
PageRank 
References 
Authors
1.84
2
3
Name
Order
Citations
PageRank
Anja Fröhner161.84
Torsten Linß26814.77
Hans-Görg Roos36816.44