Geodesic
An error estimate for a numerical scheme for the compressible Navier-stokes system
Kragujevac Journal of Mathematics, Tome 30 (2007), p. 263 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

The subject of this paper is an error estimate of the order $h^{1/2}$ in the $L^2$-norm for an explicit, fully discrete numerical scheme that approximates smooth solutions of the barotropic compressible fluid flow equations in the multidimensional case. Assuming some a-priori estimates for the discrete solution we derive an error estimate using a technique based upon stability results due to Dafermos \cite{Da} and DiPerna \cite{Di}, which were originally formulated for systems of conservation laws.
Classification : 76D05 65N30
Keywords: Navier-Stokes system, error estimate 
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     author = {Vladimir Jovanovi\'c},
     title = {An error estimate for a numerical scheme for the compressible {Navier-stokes} system},
     journal = {Kragujevac Journal of Mathematics},
     pages = {263 },
     publisher = {mathdoc},
     volume = {30},
     year = {2007},
     zbl = {1195.76151},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2007_30_a19/}
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Vladimir Jovanović. An error estimate for a numerical scheme for the compressible Navier-stokes system. Kragujevac Journal of Mathematics, Tome 30 (2007), p. 263 . http://geodesic.mathdoc.fr/item/KJM_2007_30_a19/