| Issue |
ESAIM: M2AN
Volume 42, Number 3, May-June 2008
|
|
|---|---|---|
| Page(s) | 411 - 424 | |
| DOI | https://doi.org/10.1051/m2an:2008008 | |
| Published online | 03 April 2008 | |
A Fortin operator for two-dimensional Taylor-Hood elements
Department of Mathematics, Rutgers University, Piscataway,
NJ 08854-8019, USA. falk@math.rutgers.edu
Received:
8
November
2006
Revised:
5
September
2007
A standard method for proving the inf-sup condition implying stability of finite element approximations for the stationary Stokes equations is to construct a Fortin operator. In this paper, we show how this can be done for two-dimensional triangular and rectangular Taylor-Hood methods, which use continuous piecewise polynomial approximations for both velocity and pressure.
Mathematics Subject Classification: 65N30
Key words: Finite element / Stokes.
© EDP Sciences, SMAI, 2008
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