scholarly journals ParILUT---A New Parallel Threshold ILU Factorization

2018 ◽  
Vol 40 (4) ◽  
pp. C503-C519 ◽  
Author(s):  
Hartwig Anzt ◽  
Edmond Chow ◽  
Jack Dongarra
Keyword(s):  
Ilu Factorization

Performance of Block-ILU Factorization Preconditioners Based on Block-Size Reduction for 2D Elasticity Systems

1997 ◽  
Vol 18 (5) ◽  
pp. 1355-1366 ◽  
Author(s):  
Tony F. Chan ◽  
Svetozar D. Margenov ◽  
Panayot S. Vassilevski
Keyword(s):  
Block Size ◽  
Size Reduction ◽  
2D Elasticity ◽  
Ilu Factorization

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

Symmetry ◽  
2019 ◽  
Vol 11 (12) ◽  
pp. 1461 ◽  
Author(s):  
Yan-Hong Fan ◽  
Ling-Hui Wang ◽  
You Jia ◽  
Xing-Guo Li ◽  
Xue-Xia Yang ◽  
...  
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Linear Systems ◽  
High Efficiency ◽  
Iterative Scheme ◽  
Processing Unit ◽  
Matrix Equations ◽  
Partial Differential ◽  
Central Processing ◽  
Ilu Factorization

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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