Nonlinear Multiplicative Schwarz Preconditioning in Natural Convection Cavity Flow

Lulu Liu; Wei Zhang; David E. Keyes

doi:10.1007/978-3-319-52389-7_22

Nonlinear Multiplicative Schwarz Preconditioning in Natural Convection Cavity Flow

Lulu Liu, Wei Zhang, David E. Keyes

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Scopus citations

Abstract

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 language	English (US)
Title of host publication	Domain Decomposition Methods in Science and Engineering XXIII
Publisher	Springer Nature
Pages	227-235
Number of pages	9
ISBN (Print)	9783319523880
DOIs	https://doi.org/10.1007/978-3-319-52389-7_22
State	Published - Mar 18 2017

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title = "Nonlinear Multiplicative Schwarz Preconditioning in Natural Convection Cavity Flow",

abstract = "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{\textquoteright}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.",

author = "Lulu Liu and Wei Zhang and Keyes, {David E.}",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: The authors acknowledge support from KAUST{\textquoteright}s Extreme Computing Research Center and the PETSc group of Argonne National Laboratory.",

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AU - Zhang, Wei

AU - Keyes, David E.

N1 - 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.

PY - 2017/3/18

Y1 - 2017/3/18

N2 - 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.

AB - 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.

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UR - http://link.springer.com/chapter/10.1007/978-3-319-52389-7_22

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DO - 10.1007/978-3-319-52389-7_22

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BT - Domain Decomposition Methods in Science and Engineering XXIII

PB - Springer Nature

ER -

Nonlinear Multiplicative Schwarz Preconditioning in Natural Convection Cavity Flow

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