I. Yavneh, COARSE-GRID CORRECTION FOR NONELLIPTIC AND SINGULAR PERTURBATION PROBLEMS, SIAM journal on scientific computing (Print), 19(5), 1998, pp. 1682-1699
The suitability of coarse-grid correction operators for multigrid solu
tion of discretized nonelliptic partial differential equations is stud
ied. It is found that the requirements for the orders of intergrid tra
nsfers and the order of approximation of the coarse-grid operators dif
fer in an important way from the well-known ''rules'' pertaining to el
liptic operators. Both Galerkin coarsening and coarsening schemes base
d on the differential operator are examined, and new coarse-grid corre
ction strategies are suggested in light of this analysis.