Crosswind smear and pointwise errors in streamline diffusion finite element methods

Johnson, C.; Schatz, A. H.; Wahlbin, L. B.

doi:10.1090/S0025-5718-1987-0890252-8

Crosswind smear and pointwise errors in streamline diffusion finite element methods
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by C. Johnson, A. H. Schatz and L. B. Wahlbin PDF

Math. Comp. 49 (1987), 25-38 Request permission

Abstract:

For a model convection-dominated singularly perturbed convection-diffusion problem, it is shown that crosswind smear in the numerical streamline diffusion finite element method is minimized by introducing a judicious amount of artificial crosswind diffusion. The ensuing method with piecewise linear elements converges with a pointwise accuracy of almost ${h^{5/4}}$ under local smoothness assumptions.

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