𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A new stabilized finite element formulation for scalar convection–diffusion problems: the streamline and approximate upwind/Petrov–Galerkin method

✍ Scribed by Eduardo Gomes Dutra do Carmo; Gustavo Benitez Alvarez

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
700 KB
Volume
192
Category
Article
ISSN
0045-7825

No coin nor oath required. For personal study only.

✦ Synopsis

A new stabilized and accurate finite element formulation for convection-dominated problems is herein developed. The basis of the new formulation is the choice of a new upwind function. The upwind function chosen for the new method provokes its degeneration into the SUPG or CAU methods, depending on the approximate solutionÕs regularity. The accuracy and stability of the new formulation for the linear and scalar advection-diffusion equation is demonstrated in several numerical examples.

📜 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