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An inf-sup Stable and Residual-Free Bubble Element for the Oseen Equations

✍ Scribed by Franca, Leopoldo P.; John, Volker; Matthies, Gunar; Tobiska, Lutz


Book ID
118190979
Publisher
Society for Industrial and Applied Mathematics
Year
2007
Tongue
English
Weight
205 KB
Volume
45
Category
Article
ISSN
0036-1429

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On the stability of residual-free bubble
✍ L.P. Franca; A. Nesliturk; M. Stynes πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 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