Istituto di Matematica Applicata e Tecnologie Informatiche     
Franca L. P., Brezzi F., Russo A. Further considerations on residual-free bubbles for advective-diffusive equations. Preprint ercim.cnr.ian//1997-1045, 1997.
We further consider the Galerkin method for advective-diffusive equations in two-dimensions. The finite dimensional space employed is of piecewise polynomials enriched with residual-free bubbles (RFB). We show that, in general, this method does not coincide with the SUPG method, unless the piecewise polynomials are spanned by linear functions. Furthermore a simple stability analysis argument displays the effect of the RFB on the reduced space of piecewise polynomials, which is not equivalent to streamline diffusion for bilinears, in some situations.
Subject 65-XX

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