ON THE ACCURACY OF MULTIGRID TRUNCATION ERROR ESTIMATES ON STAGGERED GRIDS

Multigrid methods can provide computable estimates of the truncation error for a discretized partial differential equation by comparing discretizations on grids of two different mesh sizes. [11] studied the differences between the standard formulation and a more accurate formulation for linear problems limited on non-staggered grids. This paper extends the accurate truncation error estimates to non-linear problems on staggered grids and gives applications to the Cauchy-Riemann equations, Stokes equations and Navier-Stokes equations.