Nonlinear Multiplicative Schwarz Preconditioning in Natural Convection Cavity Flow

Lulu Liu, Wei Zhang, David E. Keyes

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations


A natural convection cavity flow problem is solved using nonlinear multiplicative Schwarz preconditioners, as a Gauss-Seidel-like variant of additive Schwarz preconditioned inexact Newton (ASPIN). The nonlinear preconditioning extends the domain of convergence of Newton’s method to high Rayleigh numbers. Convergence performance varies widely with respect to different groupings of the fields of this multicomponent problem, and with respect to different orderings of the groupings.
Original languageEnglish (US)
Title of host publicationDomain Decomposition Methods in Science and Engineering XXIII
PublisherSpringer Nature
Number of pages9
ISBN (Print)9783319523880
StatePublished - Mar 18 2017

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: The authors acknowledge support from KAUST’s Extreme Computing Research Center and the PETSc group of Argonne National Laboratory.


Dive into the research topics of 'Nonlinear Multiplicative Schwarz Preconditioning in Natural Convection Cavity Flow'. Together they form a unique fingerprint.

Cite this