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- Title
Investigation of High-Efficiency Iterative ILU Preconditioner Algorithm for Partial-Differential Equation Systems.
- Authors
Fan, Yan-Hong; Wang, Ling-Hui; Jia, You; Li, Xing-Guo; Yang, Xue-Xia; Chen, Chih-Cheng
- Abstract
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.
- Subjects
EQUATIONS; LINEAR systems; ALGORITHMS; MULTIPROCESSORS; SUPERCOMPUTERS; FACTORIZATION
- Publication
Symmetry (20738994), 2019, Vol 11, Issue 12, p1461
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym11121461