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A technique of upstream type applied to a linear nonconforming finite element approximation of convective diffusion equations. (English) Zbl 0586.65080
An approximation of upstream type for the convective term of convective diffusion equations using the linear nonconforming finite elements is analyzed. The authors prove the discrete maximum principle for the upstream-like scheme and establish O(h) error estimate of the scheme in the $$H^ 1$$-norm. Some numerical examples are presented.
Reviewer: J.Haslinger

##### MSC:
 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 35K20 Initial-boundary value problems for second-order parabolic equations 65N15 Error bounds for boundary value problems involving PDEs
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##### References:
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