三温能量方程离散线性系统的两层迭代算法收敛因子估计及特征分析  

Convergence Estimation and Characteristic Analysis of A Two-level Iterative Algorithm for Discretized Three-temperature Energy Linear Systems

作　　者：郝悦 黄思路 徐小文 HAO Yue;HUANG Silu;XU Xiaowen(Laboratory of Computational Physics,Beijing 100088,China;Institute of Applied Physics and Computational Mathematics,Bejing 100094,China)

机构地区：[1]计算物理全国重点实验室,北京100088 [2]北京应用物理与计算数学研究所,北京100094

出　　处：《计算物理》2024年第1期122-130,共9页Chinese Journal of Computational Physics

基　　金：国家自然科学基金(62032023);中国博士后科学基金(2022M710461)资助项目。

摘　　要：基于代数多重网格(AMG)方法的理论框架,详细分析基于物理量粗化的两层迭代方法(PCTL)算法的具体收敛性质,刻画算法收敛因子的合理上界,为PCTL算法提供理论保证。进一步深入分析影响PCTL算法收敛速度的代数特征,如对角占优性和耦合强度,为PCTL算法的应用和算法调优提供了理论指导。In this paper,we study in detail the specific convergence property of the physical-variable-based coarsening two-level iterative method(PCTL)algorithm based on the theory of algebraic multigrid method(AMG),and give a reasonable upper bound on the convergence factor,which provides a theoretical guarantee for the PCTL algorithm.Moreover,we also analyze the algebraic features that affect the convergence of the PCTL algorithm,such as diagonal dominance and coupling strength,hoping to provide theoretical guidance for the applications and algorithm optimization of the PCTL algorithm.

关 键 词：三温能量方程组 基于物理量粗化的两层迭代方法 代数多重网格方法 收敛性质 影响因子 

分 类 号：O241[理学—计算数学]