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

被引：2
|
作者：
Fan, Yan-Hong [1 ]
Wang, Ling-Hui [1 ]
Jia, You [1 ]
Li, Xing-Guo [1 ]
Yang, Xue-Xia [1 ]
Chen, Chih-Cheng [2 ]
机构：
[1] Taiyuan Univ Sci & Technol, Sch Appl Sci, Dept Mech, Taiyuan 030024, Peoples R China
[2] Jimei Univ, Informat & Engn Coll, Xiamen 361021, Fujian, Peoples R China
来源：
SYMMETRY-BASEL | 2019年 / 11卷 / 12期
基金：
中国国家自然科学基金;
关键词：
iterative ILU; preconditioner; partial-differential equations; parallel computation; PARALLEL ALGORITHM; TRIDIAGONAL SYSTEMS;
D O I：
10.3390/sym11121461
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
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.
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页数：16
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