This paper presents results using preconditioners that are based on a number of variations of the Algebraic Recursive Multilevel Solver (ARMS). ARMS is a recursive block ILU factorization based on a multilevel approach. Variations presented in this paper include approaches which incorporate inner iterations, and methods based on standard reordering techniques. Numerical tests are presented for three-dimensional incompressible, compressible and magneto-hydrodynamic (MHD) problems.
Bibliographical noteFunding Information:
The work of Azzeddine Soulaimani and Rida Touihri has been supported by the Natural Sciences and Engineering Research Council of Canada (NSERC). Yousef Saad acknowledges support from the Army Research Office under contract DA/DAAD19-00-1-0485, the NSF under grants ACI-0305120, INT-0003274, and the Minnesota Supercomputing Institute. The authors would like to thank Masha Sosonkina for her help in comparing ARMS with the Algebraic Multigrid method (AMG) on the IBM SP.
Copyright 2008 Elsevier B.V., All rights reserved.
- Algebraic multilevel iterations
- Flexible GMRES
- MHD flows