| Issue |
ESAIM: M2AN
Volume 48, Number 1, January-February 2014
|
|
|---|---|---|
| Page(s) | 285 - 304 | |
| DOI | https://doi.org/10.1051/m2an/2013102 | |
| Published online | 10 January 2014 | |
Stabilization of a non standard FETI-DP mortar method for the Stokes problem
1
Dpto. Matemáticas, Facultad de Matemáticas, Universidad de Murcia,
Campus Espinardo,
30100
Murcia,
Spain
eliseo@um.es
2
Dpto. Ecuaciones Diferenciales y Análisis Numérico, Facultad de
Matemáticas, Universidad de Sevilla, Tarfia sn.,
41012
Sevilla,
Spain
chacon@us.es
Received: 26 July 2012
Revised: 13 June 2013
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.
Mathematics Subject Classification: 65N30 / 65N55
Key words: Incompressible Stokes problem / non-standard FETI-DP mortar method
© EDP Sciences, SMAI, 2014
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