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Convergence analysis of the FEM approximation of the first order Projection method for incompressible flows with and without the inf-sup condition

Autor
Badia, S.; Codina, R.
Tipus d'activitat
Article en revista
Revista
Numerische mathematik
Data de publicació
2007-10
Volum
107
Número
4
Pàgina inicial
533
Pàgina final
557
DOI
https://doi.org/10.1007/s00211-007-0099-5 Obrir en finestra nova
URL
http://link.springer.com/article/10.1007%2Fs00211-007-0099-5 Obrir en finestra nova
Resum
In this paper we obtain convergence results for the fully discrete projection method for the numerical approximation of the incompressible Navier–Stokes equations using a finite element approximation for the space discretization. We consider two situations. In the first one, the analysis relies on the satisfaction of the inf-sup condition for the velocity-pressure finite element spaces. After that, we study a fully discrete fractional step method using a Poisson equation for the pressure. In t...
Grup de recerca
(MC)2 - UPC Mecànica de Medis Continus i Computacional
ANiComp - Anàlisi numèrica i computació científica

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