@Article{CiCP-32-3,
author = {Yue, Xiaoqiang and Jianmeng, He and Xu, Xiaowen and Shu, Shi and Wang, Libo},
title = {Two Physics-Based Schwarz Preconditioners for Three-Temperature Radiation Diffusion Equations in High Dimensions},
journal = {Communications in Computational Physics},
year = {2022},
volume = {32},
number = {3},
pages = {829--849},
abstract = {<p style="text-align: justify;">We concentrate on the parallel, fully coupled and fully implicit solution of
the sequence of 3-by-3 block-structured linear systems arising from the symmetry-preserving finite volume element discretization of the unsteady three-temperature radiation diffusion equations in high dimensions. In this article, motivated by [M. J.
Gander, S. Loisel, D. B. Szyld, SIAM J. Matrix Anal. Appl. 33 (2012) 653–680] and [S.
Nardean, M. Ferronato, A. S. Abushaikha, J. Comput. Phys. 442 (2021) 110513], we aim
to develop the additive and multiplicative Schwarz preconditioners subdividing the
physical quantities rather than the underlying domain, and consider their sequential
and parallel implementations using a simplified explicit decoupling factor approximation and algebraic multigrid subsolves to address such linear systems. Robustness,
computational efficiencies and parallel scalabilities of the proposed approaches are
numerically tested in a number of representative real-world capsule implosion benchmarks.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2021-0223},
url = {https://global-sci.com/article/79483/two-physics-based-schwarz-preconditioners-for-three-temperature-radiation-diffusion-equations-in-high-dimensions}
}