A New Relaxed Splitting Preconditioner for Multidimensional Multi-Group Radiation Diffusion Equations

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.

Author Details

Xiaoqiang Yue

Chunqing Wang

Xiaowen Xu

Libo Wang

Shi Shu