The efficiency of a nudging data assimilation algorithm using higher order finite element interpolating operators is studied. Numerical experiments are presented for the 2D Navier–Stokes equations in three cases: shear flow an annulus, forced disk with off-center cavity, and box all satisfying Dirichlet boundary conditions. In cases, second interpolation coarse-grain shown to outperform first i...

Abstract Mimetic finite difference operators $$\textbf{D}$$ D , $$\textbf{G}$$ G are discrete analogs of the continuous divergence (div) and gradient (grad) operators. In sense, these satisfy same properties as those their continuum counterparts. particular, they a extended Gauss’ theorem. Th...