Decoupled Block-Wise ILU(k) Preconditioner on GPU
Abstract
This research investigates the implementation mechanism of block-wise ILU(k) preconditioner on GPU. The block-wise ILU(k) algorithm requires both the level k and the block size to be designed as variables. A decoupled ILU(k) algorithm consists of a symbolic phase and a factorization phase. In the symbolic phase, a ILU(k) nonzero pattern is established from the point-wise structure extracted from a block-wise matrix. In the factorization phase, the block-wise matrix with a variable block size is factorized into a block lower triangular matrix and a block upper triangular matrix. And a further diagonal factorization is required to perform on the block upper triangular matrix for adapting a parallel triangular solver on GPU.We also present the numerical experiments to study the preconditioner actions on different k levels and block sizes.
Cite
@article{arxiv.1703.01325,
title = {Decoupled Block-Wise ILU(k) Preconditioner on GPU},
author = {Bo Yang and Hui Liu and He Zhong and Zhangxin Chen},
journal= {arXiv preprint arXiv:1703.01325},
year = {2017}
}
Comments
14 pages