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
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},
     year = {2008},
     volume = {32},
     zbl = {1170.76027},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2008__32__a6/}
}
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%A Löwe,  J.
%T Local projection stabilization for incompressible flows: equal-order vs. inf-sup stable interpolation
%J Electronic transactions on numerical analysis
%D 2008
%P 106-122
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%U http://geodesic.mathdoc.fr/item/ETNA_2008__32__a6/
%G en
%F ETNA_2008__32__a6
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/