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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 anextension to stabilized methods of the standard technique for thenumerical analysis of mixed methods. We prove that the stability of stabilizedmethods follows from an underlying discrete inf-sup condition, plus a uniformseparation property between bubble and velocity finite element spaces. We applythe technique introduced to provethe sta bi li ty of stabilized spectral element methods so asstabilized 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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