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Accurate Petrov-Galerkin methods for transient convective diffusion problems

✍ Scribed by Erik Dick

Publisher
John Wiley and Sons
Year
1983
Tongue
English
Weight
339 KB
Volume
19
Category
Article
ISSN
0029-5981

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✦ Synopsis

The Petrov-Galerkin method is applied to transient convective diffusion problems with convection dominance. Weighting functions are used which differ from the shape functions by both symmetric and non-symmetric modifications. It is proved that the symmetric modifications largely influence the accuracy. By a one-dimensional and a two-dimensional example it is shown how to choose this modification to maximize accuracy.

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