  This paper is concerned with high moment and pathwise error estimates for
fully discrete mixed finite element approximattions of stochastic Navier-Stokes
equations with general additive noise. The implicit Euler-Maruyama scheme and
standard mixed finite element methods are employed respectively for the time
and space discretizations. High moment error estimates for both velocity and a
time-avraged pressure approximations in strong $L^2$ and energy norms are
obtained, pathwise error estimates are derived by using the Kolmogorov Theorem.
Unlike their derterministic counterparts, the spatial error constants grow in
the order of $O(k^{-\frac12})$, where $k$ denotes time step size. Numerical
experiments are also provided to validate the error estimates and their
sharpness.
