Geodesic
Local projection stabilization for incompressible flows: equal-order vs. inf-sup stable interpolation
Electronic transactions on numerical analysis, Tome 32 (2008), pp. 106-122.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: A standard approach to the non-stationary, incompressible Navier-Stokes model is to split the problem into linearized auxiliary problems of Oseen type. In this paper, a unified numerical analysis for finite element discretizations using the local projection stabilization method with either equal-order or inf-sup stable velocitypressure pairs in the case of continuous pressure approximation is presented. Moreover, a careful comparison of both variants is given.
Classification : 65M60, 65N15, 76M10
Keywords: incompressible flows, oseen model, stabilized FEM, local projection stabilization 
@article{ETNA_2008__32__a6,
     author = {Lube, G. and Rapin, G. and L\"owe, J.},
     title = {Local projection stabilization for incompressible flows: equal-order vs. inf-sup stable interpolation},
     journal = {Electronic transactions on numerical analysis},
     pages = {106--122},
     publisher = {mathdoc},
     volume = {32},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2008__32__a6/}
}
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Lube, G.; Rapin, G.; Löwe, J. Local projection stabilization for incompressible flows: equal-order vs. inf-sup stable interpolation. Electronic transactions on numerical analysis, Tome 32 (2008), pp. 106-122. http://geodesic.mathdoc.fr/item/ETNA_2008__32__a6/