Bifurcation analysis of incompressible flow in a driven cavity by the Newton-Picard method
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics
Preconditioning techniques for large linear systems: a survey
Journal of Computational Physics
Towards an Implementation of a Multilevel ILU Preconditioner on Shared-Memory Computers
HPCN Europe 2000 Proceedings of the 8th International Conference on High-Performance Computing and Networking
A fully-implicit model of the global ocean circulation
Journal of Computational Physics
Variations on algebraic recursive multilevel solvers (ARMS) for the solution of CFD problems
Applied Numerical Mathematics
Distributed block independent set algorithms and parallel multilevel ILU preconditioners
Journal of Parallel and Distributed Computing
The performance of implicit ocean models on B- and C-grids
Journal of Computational Physics
Environmental Modelling & Software
A tailored solver for bifurcation analysis of ocean-climate models
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Finite-element based sparse approximate inverses for block-factorized preconditioners
Advances in Computational Mathematics
An agglomerate multilevel preconditioner for linear isostasy saddle point problems
LSSC'05 Proceedings of the 5th international conference on Large-Scale Scientific Computing
Modification and Compensation Strategies for Threshold-based Incomplete Factorizations
SIAM Journal on Scientific Computing
A Robust Two-Level Incomplete Factorization for (Navier-)Stokes Saddle Point Matrices
SIAM Journal on Matrix Analysis and Applications
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In this paper a multilevel-like ILU preconditioner is introduced. The ILU factorization generates its own ordering during the elimination process. Both ordering and dropping depend on the size of the entries. The method can handle structured and unstructured problems. Results are presented for some important classes of matrices and for several well-known test examples. The results illustrate the efficiency of the method and show in several cases near grid independent convergence.