Theoretical study of a finite difference scheme applied to steady-state Navier-Stokes-like equations Original Research Article

In this paper, we are concerned with the numerical approximation of the solutions to a stationary Navier-Stokes-like system of equations introduced in [1]. Unlike previous studies, the discrete trilinear form appearing in the variational formulation does not verify the usual cancellation property bh (uh, vh, vh) = 0. Existence of solutions for the approximate equation and general convergence theorems are demonstrated.