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Stabilization of a non standard FETI-DP mortar methodfor the Stokes problem

Published online by Cambridge University Press:  10 January 2014

E. Chacón Vera  and
T. Chacón Rebollo
E. Chacón Vera
Affiliation:
Dpto. Matemáticas, Facultad de Matemáticas, Universidad de Murcia, Campus Espinardo, 30100 Murcia, Spain. [email protected]
T. Chacón Rebollo
Affiliation:
Dpto. Ecuaciones Diferenciales y Análisis Numérico, Facultad de Matemáticas, Universidad de Sevilla, Tarfia sn., 41012 Sevilla, Spain; [email protected]
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Abstract

In a recent paper [E. Chacón Vera and D. Franco Coronil, J. Numer. Math. 20 (2012) 161–182.] a non standard mortar method for incompressible Stokes problem was introduced where the use of the trace spaces H1 / 2and H1/200and a direct computation of the pairing of the trace spaces with their duals are the main ingredients. The importance of the reduction of the number of degrees of freedom leads naturally to consider the stabilized version and this is the results we present in this work. We prove that the standard Brezzi–Pitkaranta stabilization technique is available and that it works well with this mortar method. Finally, we present some numerical tests to illustrate this behaviour.

Keywords

Incompressible Stokes problemnon-standard FETI-DP mortar method
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 48 , Issue 1 , January 2014 , pp. 285 - 304
Copyright
© EDP Sciences, SMAI, 2014

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