✦ LIBER ✦

Further considerations on residual-free bubbles for advective-diffusive equations

✍ Scribed by F. Brezzi; L.P. Franca; A. Russo

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 649 KB
Volume: 166
Category: Article
ISSN: 0045-7825
DOI: 10.1016/s0045-7825(98)00080-2

No coin nor oath required. For personal study only.

✦ Synopsis

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, in some situations, is not equivalent to streamline diffusion for bilinears.

📜 SIMILAR VOLUMES

On the stability of residual-free bubble

On the stability of residual-free bubbles for convection-diffusion problems and their approximation by a two-level finite element method

✍ L.P. Franca; A. Nesliturk; M. Stynes 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 998 KB

We consider the Galerkin finite element method for partial differential equations in two dimensions, where the finite-dimensional space used consists of piecewise (isoparametric) polynomials enriched with bubble functions. Writing L for the differential operator, we show that for elliptic convection