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Open AccessArticle

Investigation of High-Efficiency Iterative ILU Preconditioner Algorithm for Partial-Differential Equation Systems

1
Department of Mechanics, School of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, China
2
Information and Engineering College, Jimei University, Xiamen 361021, Fujian, China
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Authors to whom correspondence should be addressed.
Symmetry 2019, 11(12), 1461; https://doi.org/10.3390/sym11121461
Received: 14 October 2019 / Revised: 2 November 2019 / Accepted: 21 November 2019 / Published: 28 November 2019
(This article belongs to the Special Issue Selected Papers from IIKII 2019 conferences in Symmetry)
In this paper, we investigate an iterative incomplete lower and upper (ILU) factorization preconditioner for partial-differential equation systems. We discretize the partial-differential equations into linear equation systems. An iterative scheme of linear systems is used. The ILU preconditioners of linear systems are performed on the different computation nodes of multi-central processing unit (CPU) cores. Firstly, the preconditioner of general tridiagonal matrix equations is tested on supercomputers. Then, the effects of partial-differential equation systems on the speedup of parallel multiprocessors are examined. The numerical results estimate that the parallel efficiency is higher than in other algorithms. View Full-Text
Keywords: iterative ILU; preconditioner; partial-differential equations; parallel computation iterative ILU; preconditioner; partial-differential equations; parallel computation
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Fan, Y.-H.; Wang, L.-H.; Jia, Y.; Li, X.-G.; Yang, X.-X.; Chen, C.-C. Investigation of High-Efficiency Iterative ILU Preconditioner Algorithm for Partial-Differential Equation Systems. Symmetry 2019, 11, 1461.

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