Crosswind Smear and Pointwise Errors in Streamline Diffusion Finite Element Methods
- 1 July 1987
- journal article
- Published by JSTOR in Mathematics of Computation
- Vol. 49 (179) , 25-38
- https://doi.org/10.2307/2008248
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 under local smoothness assumptions.Keywords
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