%0 Journal Article %T Error estimates for a numerical method for the compressible Navier-Stokes system on sufficiently smooth domains %A Eduard Feireisl %A Radim Ho£¿ek %A David Maltese %A Anton¨ªn Novotny %J Mathematics %D 2015 %I arXiv %X We derive an a priori error estimate for the numerical solution obtained by time and space discretization by the finite volume/finite element method of the barotropic Navier--Stokes equations. The numerical solution on a convenient polyhedral domain approximating a sufficiently smooth bounded domain is compared with an exact solution of the barotropic Navier--Stokes equations with a bounded density. The result is unconditional in the sense that there are no assumed bounds on the numerical solution. %U http://arxiv.org/abs/1508.06432v1