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A Uniformly Convergent Galerkin Method on a Shishkin Mesh for a Convection-Diffusion Problem

✍ Scribed by Martin Stynes; Eugene O'Riordan

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
240 KB
Volume
214
Category
Article
ISSN
0022-247X

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✦ Synopsis

A Galerkin finite element method that uses piecewise bilinears on a simple piecewise equidistant mesh is applied to a linear convection-dominated convection-diffusion problem in two dimensions. The method is shown to be convergent, uniformly in the perturbation parameter, of order N y1 ln N in a global energy norm and of order N y1 r2 ln 3r 2 N pointwise near the outflow Ž 2 . boundary, where the total number of mesh points is O N .

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