A Fortin operator for two-dimensional Taylor-Hood elements
ESAIM: Mathematical Modelling and Numerical Analysis (2008)
- Volume: 42, Issue: 3, page 411-424
- ISSN: 0764-583X
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topFalk, Richard S.. "A Fortin operator for two-dimensional Taylor-Hood elements." ESAIM: Mathematical Modelling and Numerical Analysis 42.3 (2008): 411-424. <http://eudml.org/doc/250343>.
@article{Falk2008,
abstract = {
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.
},
author = {Falk, Richard S.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Finite element; Stokes.; finite element},
language = {eng},
month = {4},
number = {3},
pages = {411-424},
publisher = {EDP Sciences},
title = {A Fortin operator for two-dimensional Taylor-Hood elements},
url = {http://eudml.org/doc/250343},
volume = {42},
year = {2008},
}
TY - JOUR
AU - Falk, Richard S.
TI - A Fortin operator for two-dimensional Taylor-Hood elements
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2008/4//
PB - EDP Sciences
VL - 42
IS - 3
SP - 411
EP - 424
AB -
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.
LA - eng
KW - Finite element; Stokes.; finite element
UR - http://eudml.org/doc/250343
ER -
References
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- F. Brezzi and M. Fortin, Mixed and hybrid finite element methods. Springer-Verlag, New York (1991).
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- L.R. Scott and M. Vogelius, Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials. RAIRO Modél. Math. Anal. Numér.19 (1985) 111–143.
- R. Stenberg, Error analysis of some finite element methods for the Stokes problem. Math. Comp.54 (1990) 494–548.
- R. Verfürth, Error estimates for a mixed finite element approximation of the Stokes equations. RAIRO Anal. Numér.18 (1984) 175–182.
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