# Stabilization of a non standard FETI-DP mortar method for the Stokes problem

E. Chacón Vera; T. Chacón Rebollo

- Volume: 48, Issue: 1, page 285-304
- ISSN: 0764-583X

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topChacón Vera, E., and Chacón Rebollo, T.. "Stabilization of a non standard FETI-DP mortar method for the Stokes problem." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 48.1 (2014): 285-304. <http://eudml.org/doc/273306>.

@article{ChacónVera2014,

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.},

author = {Chacón Vera, E., Chacón Rebollo, T.},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

keywords = {incompressible Stokes problem; non-standard FETI-DP; non-standard FETI-DP mortar method},

language = {eng},

number = {1},

pages = {285-304},

publisher = {EDP-Sciences},

title = {Stabilization of a non standard FETI-DP mortar method for the Stokes problem},

url = {http://eudml.org/doc/273306},

volume = {48},

year = {2014},

}

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 - Modélisation Mathématique et Analyse Numérique

PY - 2014

PB - EDP-Sciences

VL - 48

IS - 1

SP - 285

EP - 304

AB - 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.

LA - eng

KW - incompressible Stokes problem; non-standard FETI-DP; non-standard FETI-DP mortar method

UR - http://eudml.org/doc/273306

ER -

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- [7] E. Chacón Vera, and D. Franco Coronil, A non standard FETI-DP mortar method for Stokes Problem. Proceedings of the 3rd FreeFem++ days, Paris, 2011. J. Numer. Math. 20 (2012) 161–182. Zbl1299.76132MR3043635
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