Cw. Oosterlee et al., MULTIGRID LINE SMOOTHERS FOR HIGHER-ORDER UPWIND DISCRETIZATIONS OF CONVECTION-DOMINATED PROBLEMS, Journal of computational physics, 139(2), 1998, pp. 274-307
In this paper we present new multigrid line smoothers for the solution
of higher order discretizations of convection-dominated problems dire
ctly. The behavior of the smoothers is analyzed theoretically with Fou
rier smoothing and two-grid analysis. A parallel tri-line variant is p
resented and evaluated. The smoothers are applied to scalar convection
-diffusion problems, discretized with limiters and systems of incompre
ssible Navier-Stokes and Euler equations. (C) 1998 Academic Press.