An Algebraic Multigrid-Based Physical Factorization Preconditioner for the Multi-Group Radiation Diffusion Equations in Three Dimensions  

作　　者：Xiaoqiang Yue Zekai Zhang Xiaowen Xu Shuying Zhai Shi Shu 

机构地区：[1]National Center for Applied Mathematics in Hunan,Key Laboratory of Intelligent Computing&Information Processing of Ministry of Education,Hunan Key Laboratory for Computation and Simulation in Science and Engineering,Xiangtan University,Xiangtan 411105,China [2]Laboratory of Computational Physics,Institute of Applied Physics and Computational Mathematics,Beijing 100094,China [3]School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China.

出　　处：《Numerical Mathematics(Theory,Methods and Applications)》2023年第2期410-432,共23页高等学校计算数学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant 11971414);Hunan National Applied Mathematics Center(Grant 2020ZYT003);the Research Foundation of Education Bureau of Hunan(Grant 21B0162).

摘　　要：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 threedimensional 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.

关 键 词：Radiation diffusion equations physical factorization preconditioning algebraic multigrid parallel and distributed computing 

分 类 号：O175[理学—数学]