A New Relaxed Splitting Preconditioner for Multidimensional Multi-Group Radiation Diffusion Equations
Year: 2022
Author: Xiaoqiang Yue, Chunqing Wang, Xiaowen Xu, Libo Wang, Shi Shu
East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 1 : pp. 163–184
Abstract
Motivated by the ideas of Frigo et al. [SIAM J. Sci. Comput. 41 (2019) B694–B720], we develop a novel relaxed splitting preconditioner and consider its parallel implementation. Fully-coupled fully-implicit linearised algebraic systems arising from the multidimensional multi-group radiation diffusion equations are solved by using algebraic multigrid subsolvers. Spectral properties of the relaxed splitting right-preconditioned matrix are studied. This allows to introduce an easily implementable algebraic selection strategy for finding the corresponding relaxation parameter. Numerical experiments show that the new preconditioner outperforms some existing popular preconditioners in robustness and efficiency and is well scalable both algorithmically and in parallel.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.310121.230821
East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 1 : pp. 163–184
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Radiation diffusion equations relaxed splitting algebraic multigrid incomplete LU factorization parallel computing.