A Nonlinear Elimination Preconditioned Inexact Newton Algorithm for Steady State Incompressible Flow Problems on 3D Unstructured Meshes

Li Luo; Rongliang Chen; Xiao Chuan Cai; David E. Keyes

doi:10.1007/978-3-030-56750-7_51

A Nonlinear Elimination Preconditioned Inexact Newton Algorithm for Steady State Incompressible Flow Problems on 3D Unstructured Meshes

Li Luo, Rongliang Chen, Xiao Chuan Cai, David E. Keyes

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

Abstract

The Newton algorithm and its variants are frequently used to obtain the numerical solution of large nonlinear systems arising from the discretization of partial differential equations, e.g., the incompressible Navier-Stokes equations in computational fluid dynamics. Near quadratic convergence can be observed when the nonlinearities in the system are well-balanced.

Original language	English (US)
Title of host publication	Lecture Notes in Computational Science and Engineering
Publisher	Springer Nature
Pages	441-449
Number of pages	9
ISBN (Print)	9783030567491
DOIs	https://doi.org/10.1007/978-3-030-56750-7_51
State	Published - Oct 25 2020

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10.1007/978-3-030-56750-7_51

https://repository.kaust.edu.sa/bitstream/10754/666224/1/A%20non%20linear.pdf

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title = "A Nonlinear Elimination Preconditioned Inexact Newton Algorithm for Steady State Incompressible Flow Problems on 3D Unstructured Meshes",

abstract = "The Newton algorithm and its variants are frequently used to obtain the numerical solution of large nonlinear systems arising from the discretization of partial differential equations, e.g., the incompressible Navier-Stokes equations in computational fluid dynamics. Near quadratic convergence can be observed when the nonlinearities in the system are well-balanced.",

author = "Li Luo and Rongliang Chen and Cai, {Xiao Chuan} and Keyes, {David E.}",

note = "KAUST Repository Item: Exported on 2021-04-14 Acknowledgements: The research was supported by the Shenzhen basic research grant JCYJ20160331193229720, JCYJ20170307165328836, JCYJ20170818153840322, and the NSFC 11701547, 61531166003.",

year = "2020",

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doi = "10.1007/978-3-030-56750-7_51",

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AU - Luo, Li

AU - Chen, Rongliang

AU - Cai, Xiao Chuan

AU - Keyes, David E.

N1 - KAUST Repository Item: Exported on 2021-04-14 Acknowledgements: The research was supported by the Shenzhen basic research grant JCYJ20160331193229720, JCYJ20170307165328836, JCYJ20170818153840322, and the NSFC 11701547, 61531166003.

PY - 2020/10/25

Y1 - 2020/10/25

N2 - The Newton algorithm and its variants are frequently used to obtain the numerical solution of large nonlinear systems arising from the discretization of partial differential equations, e.g., the incompressible Navier-Stokes equations in computational fluid dynamics. Near quadratic convergence can be observed when the nonlinearities in the system are well-balanced.

AB - The Newton algorithm and its variants are frequently used to obtain the numerical solution of large nonlinear systems arising from the discretization of partial differential equations, e.g., the incompressible Navier-Stokes equations in computational fluid dynamics. Near quadratic convergence can be observed when the nonlinearities in the system are well-balanced.

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UR - http://link.springer.com/10.1007/978-3-030-56750-7_51

UR - http://www.scopus.com/inward/record.url?scp=85096524407&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-56750-7_51

DO - 10.1007/978-3-030-56750-7_51

M3 - Conference contribution

SN - 9783030567491

SP - 441

EP - 449

BT - Lecture Notes in Computational Science and Engineering

PB - Springer Nature

ER -

A Nonlinear Elimination Preconditioned Inexact Newton Algorithm for Steady State Incompressible Flow Problems on 3D Unstructured Meshes

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