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.
Mots clés : incompressible Stokes problem, non-standard FETI-DP
@article{M2AN_2014__48_1_285_0,
author = {Chac\'on Vera, E. and Chac\'on Rebollo, T.},
title = {Stabilization of a non standard {FETI-DP} mortar method for the {Stokes} problem},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {285--304},
publisher = {EDP-Sciences},
volume = {48},
number = {1},
year = {2014},
doi = {10.1051/m2an/2013102},
mrnumber = {3177845},
zbl = {1299.76131},
language = {en},
url = {http://www.numdam.org/articles/10.1051/m2an/2013102/}
}
TY - JOUR AU - Chacón Vera, E. AU - Chacón Rebollo, T. TI - Stabilization of a non standard FETI-DP mortar method for the Stokes problem JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2014 SP - 285 EP - 304 VL - 48 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an/2013102/ DO - 10.1051/m2an/2013102 LA - en ID - M2AN_2014__48_1_285_0 ER -
%0 Journal Article %A Chacón Vera, E. %A Chacón Rebollo, T. %T Stabilization of a non standard FETI-DP mortar method for the Stokes problem %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2014 %P 285-304 %V 48 %N 1 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an/2013102/ %R 10.1051/m2an/2013102 %G en %F M2AN_2014__48_1_285_0
Chacón Vera, E.; Chacón Rebollo, T. Stabilization of a non standard FETI-DP mortar method for the Stokes problem. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 48 (2014) no. 1, pp. 285-304. doi : 10.1051/m2an/2013102. http://www.numdam.org/articles/10.1051/m2an/2013102/
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