@Article{NMTMA-17-3,
author = {Yue, Xiaoqiang and Xia, Sheng and Chunyan, Chen and Xu, Xiaowen and Shu, Shi},
title = {A Generalized Selectively Relaxed Matrix Splitting Preconditioning Strategy for Three-Dimensional Flux-Limited Multi-Group Radiation Diffusion Equations},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2024},
volume = {17},
number = {3},
pages = {630--657},
abstract = {<p style="text-align: justify;">Driven by the challenging task of pursuing the robust and accurate iterative numerical solution of the three-dimensional flux-limited multi-group radiation diffusion equations in an efficient and scalable manner, we propose and analyze a generalized matrix splitting preconditioning scheme with two selective relaxations and algebraic multigrid subsolves, introduce an algebraic quasi-optimal
choice strategy to determine the involved parameters and consider its sequential
implementation and two-level parallelization. A great deal of numerical results for
typical unstructured twenty-group problems arising from realistic simulations of the
hydrodynamic instability are presented and discussed to demonstrate the robustness, efficiency, strong and weak parallel scaling properties with up to 2,816 parallel
processor cores together with the competitiveness of the proposed preconditioner
when compared with several state-of-the-art monolithic and block preconditioning
approaches.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2023-0098},
url = {https://global-sci.com/article/91273/a-generalized-selectively-relaxed-matrix-splitting-preconditioning-strategy-for-three-dimensional-flux-limited-multi-group-radiation-diffusion-equations}
}