Investigation of High-Efficiency Iterative ILU Preconditioner Algorithm for Partial-Differential Equation Systems
Yan-Hong Fan, Linghui Wang, You Jia, Xingguo Li, Xue-Xia Yang, Chih‐Cheng Chen · Symmetry · 2019
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.