TY - JOUR
T1 - An Algebraic Multigrid-Based Physical Factorization Preconditioner for the Multi-Group Radiation Diffusion Equations in Three Dimensions
AU - Yue , Xiaoqiang
AU - Zhang , Zekai
AU - Xu , Xiaowen
AU - Zhai , Shuying
AU - Shu , Shi
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 2
SP - 410
EP - 432
PY - 2023
DA - 2023/04
SN - 16
DO - http://doi.org/10.4208/nmtma.OA-2022-0054 
UR - https://global-sci.org/intro/article_detail/nmtma/21583.html
KW - Radiation diffusion equations, physical factorization preconditioning, algebraic multigrid, parallel and distributed computing.
AB - <p style="text-align: justify;">The paper investigates the robustness and parallel scaling properties of
a novel physical factorization preconditioner with algebraic multigrid subsolves in
the iterative solution of a cell-centered finite volume discretization of the three-dimensional multi-group radiation diffusion equations. The key idea is to take advantage of a particular kind of block factorization of the resulting system matrix and
approximate the left-hand block matrix selectively spurred by parallel processing
considerations. The spectral property of the preconditioned matrix is then analyzed.
The practical strategy is considered sequentially and in parallel. Finally, numerical results illustrate the numerical robustness, computational efficiency and parallel
strong and weak scalabilities over the real-world structured and unstructured coupled problems, showing its competitiveness with many existing block preconditioners.</p>