  In the present paper we describe the computational implementation of some
integral terms that arise from mixed virtual element methods (mixed-VEM) in
two-dimensional pseudostress-velocity formulations. The implementation
presented here consider any polynomial degree $k \geq 0$ in a natural way by
building several local matrices of small size through the matrix multiplication
and the Kronecker product. In particular, we apply the foregoing mentioned
matrices to the Navier-Stokes equations with Dirichlet boundary conditions,
whose mixed-VEM formulation was originally proposed and analyzed in a recent
work using virtual element subspaces for $H(\text{div})$ and $H^1$,
simultaneously. In addition, an algorithm is proposed for the assembly of the
associated global linear system for the Newton's iteration. Finally, we present
a numerical example in order to illustrate the performance of the mixed-VEM
scheme and confirming the expected theoretical convergence rates.
