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Crosswind smear and pointwise errors in streamline diffusion finite element methods. (English) Zbl 0629.65111
A singularly perturbed convection-diffusion equation $$u_ x+u=f+\delta u_{xx}+\epsilon u_{yy}$$ is solved by an upstream finite element method. It is shown that when internal layers are present, the accuracy of the algorithm may be improved by a proper modification of the parameter $$\epsilon$$, that is, by the addition of a crosswind artificial diffusion.
Reviewer: G.Hedstrom

##### MSC:
 65N15 Error bounds for boundary value problems involving PDEs 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 35B25 Singular perturbations in context of PDEs 76R05 Forced convection 35K20 Initial-boundary value problems for second-order parabolic equations
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