We analyse the effect of the subgrid viscosity on a finite element discreti
sation, with piecewise linear elements, of a linear advection-diffusion sca
lar equation. We point out the importance of a proper tune-up of the viscos
ity coefficient, and propose a heuristic method for obtaining reasonable va
lues for it. The extension to more general problems is then hinted in the l
ast section. (C) 2000 Elsevier Science B.V. All rights reserved.