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


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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