Tests of the BORG-PM algorithm on a N-body simulation and result for the velocity field. We compute the velocity field using the Simplex-In-Cell algorithm using the entire set of particles of the N-body simulation and a resimulation from a single BORG sample. We compute the linear theory prediction for the velocity field based on the mock catalog as well. We show here the residual between each of the reconstructed velocity field and the one of the simulation. The difference is computed for each mesh element. We note that the residual distribution is narrower and have less heavy tails for the BORG reconstruction than for the linear theory one. In both cases, the velocity field is unbiased.