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Some upwinding techniques for finite element approximations of convection-diffusion equations. (English) Zbl 0713.65066
Several upwinding schemes for a standard model convection-diffusion equation are discussed. The standard finite element Galerkin discretization is chosen as the reference discretization. The streamline diffusion method, the box method, the Scharfetter-Gummel discretization, and a divergence-free scheme are examined. The last method appears to be extremely robust and stable.
Reviewer: W.Moldenhauer

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
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