A Nonlinear Elimination Preconditioned Inexact Newton Algorithm for Steady State Incompressible Flow Problems on 3D Unstructured Meshes
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Conference PaperKAUST Department
Extreme Computing Research CenterComputer, 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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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_51Sponsors
The research was supported by the Shenzhen basic research grant JCYJ20160331193229720, JCYJ20170307165328836, JCYJ20170818153840322, and the NSFC 11701547, 61531166003.Publisher
Springer International PublishingConference/Event name
25th International Conference on Domain Decomposition Methods in Science and Engineering, DD 2018ISBN
9783030567491Additional Links
http://link.springer.com/10.1007/978-3-030-56750-7_51ae974a485f413a2113503eed53cd6c53
10.1007/978-3-030-56750-7_51