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

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Conference Paper
Authors
Luo, Li cc
Chen, Rongliang
Cai, Xiao Chuan
Keyes, David E. cc
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Extreme Computing Research Center
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
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Applied Mathematics and Computational Science Program
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http://hdl.handle.net/10754/666224

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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.
Citation
Luo, L., Chen, R., Cai, X.-C., & Keyes, D. E. (2020). A Nonlinear Elimination Preconditioned Inexact Newton Algorithm for Steady State Incompressible Flow Problems on 3D Unstructured Meshes. Domain Decomposition Methods in Science and Engineering XXV, 441–449. doi:10.1007/978-3-030-56750-7_51
Sponsors
The research was supported by the Shenzhen basic research grant JCYJ20160331193229720, JCYJ20170307165328836, JCYJ20170818153840322, and the NSFC 11701547, 61531166003.
Publisher
Springer Nature
Conference/Event name
25th International Conference on Domain Decomposition Methods in Science and Engineering, DD 2018
ISBN
9783030567491
DOI
10.1007/978-3-030-56750-7_51
Additional Links
http://link.springer.com/10.1007/978-3-030-56750-7_51
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Conference Papers; Applied Mathematics and Computational Science Program; Extreme Computing Research Center; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division