Fast and improved scaled HSS preconditioner for steady-state space-fractional diffusion equations

被引：2

作者：

Chen, Fang ^{[1
]}

Li, Tian-Yi ^{[1
]}

机构：

[1] Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China

来源：

NUMERICAL ALGORITHMS | 2021年 / 87卷 / 02期

关键词：

Matrix splitting; HSS iteration; Preconditioner; Convergence;

D O I：

10.1007/s11075-020-00982-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the discrete linear system resulted from the considered steady-state space-fractional diffusion equations, we propose an improved scaled HSS (ISHSS) iteration method and discuss its convergence theory. Then, we construct a fast ISHSS (FISHSS) preconditioner to accelerate the convergence rates of the Krylov subspace iteration methods. We discuss the spectral properties of the FISHSS preconditioning matrix. Numerical experiments show the good performance of the FISHSS preconditioner.

引用

页码：651 / 665

页数：15

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