| Issue |
ESAIM: M2AN
Volume 35, Number 1, January/February 2001
|
|
|---|---|---|
| Page(s) | 57 - 89 | |
| DOI | https://doi.org/10.1051/m2an:2001107 | |
| Published online | 15 April 2002 | |
An analysis technique for stabilized finite element solution of incompressible flows
Departamento de Ecuaciones Diferenciales y Análisis
Numérico, Universidad de Sevilla. C/ Tarfia, s/n. 41080 Sevilla, Spain. (chacon@numer.us.es)
Received:
24
November
1999
Revised:
19
October
2000
This paper presents an extension to stabilized methods of the standard technique for the numerical analysis of mixed methods. We prove that the stability of stabilized methods follows from an underlying discrete inf-sup condition, plus a uniform separation property between bubble and velocity finite element spaces. We apply the technique introduced to prove the sta bi li ty of stabilized spectral element methods so as stabilized solution of the primitive equations of the ocean.
Mathematics Subject Classification: 65N30 / 76M10
Key words: Oseen equations / finite elements / mixed methods / stabilized methods / discrete inf-sup condition / spectral methods / primitive equations.
© EDP Sciences, SMAI, 2001
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