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primitive equations.

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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An analysis technique for stabilized finite elementsolution of incompressible flows
Tomás Chacón Rebollo
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 35 / Issue 1 / January 2001

Published online by Cambridge University Press:

15 April 2002, pp. 57-89

Print publication:

January 2001
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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.