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An analysis technique for stabilized finite elementsolution of incompressible flows

Published online by Cambridge University Press:  15 April 2002

Tomás Chacón Rebollo
Tomás Chacón Rebollo*
Affiliation:
Departamento de Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla. C/ Tarfia, s/n. 41080 Sevilla, Spain. (chacon@numer.us.es)
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Abstract

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.

Keywords

Oseen equationsfinite elementsmixed methodsstabilized methodsdiscrete inf-sup conditionspectral methodsprimitive equations.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 35 , Issue 1 , January 2001 , pp. 57 - 89
Copyright
© EDP Sciences, SMAI, 2001

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