Publication Cover
Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 12
63
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

A singularly perturbed convection–diffusion problem in a half-plane

&
Pages 1471-1485 | Accepted 22 Jun 2005, Published online: 11 Dec 2006

References

  • Abramowitz , M and Stegun , I . 1965 . Handbook of Mathematical Functions , Washington, DC : National Bureau of Standard .
  • Dörfler , W . 1999 . Uniform a priori estimates for singularly perturbed elliptic equations in multidimensions . SIAM Journal of Numerical Analysis , 36 : 1878 – 1900 .
  • Hundsdorfer , W and Verwer , JG . 2003 . Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations , Berlin : Springer-Verlag .
  • Kellogg , RB and Stynes , M . 2005 . Corner singularities and boundary layers in a simple convection-diffusion problem . Journal of Differential Equations , 213 : 81 – 120 .
  • Kellogg , RB and Stynes , M . Sharpened bounds for corner singularities and boundary layers in a simple convection-diffusion problem . Applied Mathematics Letters , to appear.
  • Linß , T and Stynes , M . 2001 . Asymptotic analysis and Shishkin-type decomposition for an elliptic convection-diffusion problem . Journal of Mathematical Analysis and Applications , 261 : 604 – 632 .
  • Roos , H-G . 2002 . Optimal uniform convergence of basic schemes for elliptic problems with strong parabolic boundary layers . Journal of Mathematical Analysis and Applications , 267 : 194 – 208 .
  • Roos , H-G , Stynes , M and Tobiska , L . 1996 . Numerical Methods for Singularly Perturbed Differential Equations , Vol. 24 , Berlin : Springer-Verlag . Springer Series in Computational Mathematics.
  • Shih , S-D and Kellogg , RB . 1997 . Asymptotic analysis of a singular perturbation problem . SIAM Journal of Mathematical Analysis , 18 : 1467 – 1511 .
  • Shishkin , GI . 1990 . “ Second Doctoral thesis ” . In Grid approximation of singularly perturbed elliptic and parabolic equations, 1990 , Moscow : Keldysh Institute .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.