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Pointwise superconvergence of the streamline diffusion finite-element method

✍ Scribed by Guohui Zhou; Rolf Rannacher

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
927 KB
Volume
12
Category
Article
ISSN
0749-159X

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✦ Synopsis

In this article, we analyze the local superconvergence property of the streamline-diffusion finiteelement method (SDFEM) for scalar convection-diffusion problems with dominant convection. By orienting the mesh in the streamline direction and imposing a uniformity condition on the mesh, the theoretical order of pointwise convergence is increased from O(h"'*llog 111) to O(h'1log 111). Numerical tests show that this result cannot be extended to arbitrary quasi-uniform meshes. 0 1996 John Wiley & Sons. Inc.

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