We propose a new two-level nonlinear additive Schwarz preconditioned inexact Newton algorithm (ASPIN). The two-level nonlinear preconditioner combines a local nonlinear additive Schwarz preconditioner and a global linear coarse preconditioner. Our parallel numerical results based on a lid-driven cavity incompressible flow problem show that the new two-level ASPIN is nearly scalable with respect to the number of processors if the coarse mesh size is fine enough. © Springer-Verlag Berlin Heidelberg 2006.
CITATION STYLE
Hwang, F. N., & Cai, X. C. (2006). A combined linear and nonlinear preconditioning technique for incompressible navier-stokes equations. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 3732 LNCS, pp. 313–322). Springer Verlag. https://doi.org/10.1007/11558958_37
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