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On the convergence of the streamline-upwind mixed finite element

โœ Scribed by M.J. Crochet; V. Delvaux; J.M. Marchal


Book ID
107987576
Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
455 KB
Volume
34
Category
Article
ISSN
0377-0257

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Uniform convergence of an upwind finite
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A singularly perturbed convectionยฑdiusion problem is considered. The problem is discretised using an upwinded ยฎnite element method on layer-adapted meshes. We establish convergence of almost ยฎrst-order in a weighted energy norm, no matter how small the perturbation parameter. As a corollary we deriv