A combined linear and nonlinear preconditioning technique for incompressible navier-stokes equations

Feng Nan Hwang; Xiao Chuan Cai

doi:10.1007/11558958_37

A combined linear and nonlinear preconditioning technique for incompressible navier-stokes equations

Feng Nan Hwang, Xiao Chuan Cai

Department of Mathematics

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

2 Scopus citations

Abstract

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.

Original language	English
Title of host publication	Applied Parallel Computing - State of the Art in Scientific Computing - 7th International Conference, PARA 2004, Revised Selected Papers
Publisher	Springer Verlag
Pages	313-322
Number of pages	10
ISBN (Print)	3540290672, 9783540290674
DOIs	https://doi.org/10.1007/11558958_37
State	Published - 2006
Event	7th International Conference on Applied Parallel Computing, PARA 2004 - Lyngby, Denmark Duration: 20 Jun 2004 → 23 Jun 2004

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	3732 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	7th International Conference on Applied Parallel Computing, PARA 2004
Country/Territory	Denmark
City	Lyngby
Period	20/06/04 → 23/06/04

Access to Document

10.1007/11558958_37

Cite this

Hwang, F. N., & Cai, X. C. (2006). A combined linear and nonlinear preconditioning technique for incompressible navier-stokes equations. In Applied Parallel Computing - State of the Art in Scientific Computing - 7th International Conference, PARA 2004, Revised Selected Papers (pp. 313-322). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3732 LNCS). Springer Verlag. https://doi.org/10.1007/11558958_37

Hwang, Feng Nan ; Cai, Xiao Chuan. / A combined linear and nonlinear preconditioning technique for incompressible navier-stokes equations. Applied Parallel Computing - State of the Art in Scientific Computing - 7th International Conference, PARA 2004, Revised Selected Papers. Springer Verlag, 2006. pp. 313-322 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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abstract = "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.",

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Hwang, FN & Cai, XC 2006, A combined linear and nonlinear preconditioning technique for incompressible navier-stokes equations. in Applied Parallel Computing - State of the Art in Scientific Computing - 7th International Conference, PARA 2004, Revised Selected Papers. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 3732 LNCS, Springer Verlag, pp. 313-322, 7th International Conference on Applied Parallel Computing, PARA 2004, Lyngby, Denmark, 20/06/04. https://doi.org/10.1007/11558958_37

A combined linear and nonlinear preconditioning technique for incompressible navier-stokes equations. / Hwang, Feng Nan; Cai, Xiao Chuan.
Applied Parallel Computing - State of the Art in Scientific Computing - 7th International Conference, PARA 2004, Revised Selected Papers. Springer Verlag, 2006. p. 313-322 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3732 LNCS).

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

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AB - 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.

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T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

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Hwang FN, Cai XC. A combined linear and nonlinear preconditioning technique for incompressible navier-stokes equations. In Applied Parallel Computing - State of the Art in Scientific Computing - 7th International Conference, PARA 2004, Revised Selected Papers. Springer Verlag. 2006. p. 313-322. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/11558958_37

A combined linear and nonlinear preconditioning technique for incompressible navier-stokes equations

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