High Performance Parallel Multigrid Algorithms for Unstructured Grids Paul O. Frederickson Math Cube Associates, Inc. PO Box 66, Los Alamos, NM 87544 We describe a high performance parallel multigrid algorithm for a rather general class of unstructured grid problems in two and three dimensions. The algorithm PUMG is related in structure to the parallel multigrid algorithm PSMG introduced by McBryan and Frederickson, for they both obtain a higher convergence rate through the use of multiple coarse grids. Another reason for the high convergence rate of PUMG is its smoother, an approximate inverse developed by Baumgardner and Frederickson.