This volume contains 39 of the papers presented at the Sixth European Multi- grid Conference, held in Gent, September 27-30, 1999. There were 61 regis- tered participants from 12 different countries and 50 presentations were given. Earlier European Multigrid Conferences were held in Cologne in 1981 and 1985, in Bonn in 1990, in Amsterdam in 1993 and in Stuttgart in 1996. The next European Multigrid Conference is planned for 2002 in Heidelberg. The Sixth European Multigrid Conference was organized by the Depart- ment of Flow, Heat and Combustion Mechanics from Ghent University. The topics treated on the conference covered all aspects of Multigrid Methods: the- ory, analysis, computer implementation, applications in the fields of physics, chemistry, fluid mechanics, structural mechanics, magnetism, . . . Gent, December 1999 Erik Dick, Kris Riemslagh, Jan Vierendeels Table of Contents Invited Contributions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Multigrid Strategies for CFD Problems on Non-Structured Meshes . . . . 1 G. Carre, G. Carte, H. Guillard, S. Lanteri Detection of Strong Coupling in Algebraic Multigrid Solvers. . . . . . . . . . 11 T. F. Chan, P. Vanek Steady Euler Solutions in O(N) Operations. . . . . . . . . . . . . . . . . . . . . . . . . 24 B. van Leer, D. Darmofal The Acceleration of Multigrid Convergence by Recombination Techniques 34 C. W. Oosterlee, R. Wienands, T. Washio, F. J. Gaspar Other Contributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 Turbomachinery Computations on Parallel Computers Using a Mul- grid Method. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 A. Arnone, P. Boncinelli, M. Marconcini Approximate Schur Complement Multilevel Methods for General Sparse Systems. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 M. Benzi, M. DeLong A Multigrid Approach to the Optimal Control of Solid Fuel Ignition Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .