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Numerical methods on Shishkin meshes for linear convection–diffusion problems

✍ Scribed by Torsten Linß; Martin Stynes

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
803 KB
Volume
190
Category
Article
ISSN
0045-7825

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✦ Synopsis

On the unit square, we consider a model singularly perturbed convection±diusion problem whose solution contains exponential boundary and corner layers. Shishkin meshes are frequently used to solve such problems numerically. We compare and evaluate the performance of several numerical methods on these meshes and summarise the theoretical convergence results available in the literature.

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