  We study convergence of a mixed finite element finite volume numerical scheme
for the isentropic Navier-Stokes system under the full range of the adiabatic
exponent. We establish suitable stability and consistency estimates and show
that the Young measure generated by numerical solutions represents a
dissipative measure-valued solutions of the limit system. In particular, using
the recently established weak{strong uniqueness principle in the class of
dissipative measure-valued solutions we show that the numerical solutions
converge strongly to a strong solutions of the limit system as long as the
latter exists.
