A Nonlinear Elimination Preconditioned Inexact Newton Algorithm for Steady State Incompressible Flow Problems on 3D Unstructured Meshes
KAUST DepartmentExtreme Computing Research Center
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Office of the VP
Applied Mathematics and Computational Science Program
Office of the President
Permanent link to this recordhttp://hdl.handle.net/10754/666224
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AbstractThe 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.
CitationLuo, 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
SponsorsThe research was supported by the Shenzhen basic research grant JCYJ20160331193229720, JCYJ20170307165328836, JCYJ20170818153840322, and the NSFC 11701547, 61531166003.
Conference/Event name25th International Conference on Domain Decomposition Methods in Science and Engineering, DD 2018