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

被引:0
|
作者
Fang Chen
Tian-Yi Li
机构
[1] Beijing Information Science and Technology University,School of Applied Science
来源
Numerical Algorithms | 2021年 / 87卷
关键词
Matrix splitting; HSS iteration; Preconditioner; Convergence;
D O I
暂无
中图分类号
学科分类号
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
收藏
页码:651 / 665
页数:14
相关论文
共 50 条
  • [1] Fast and improved scaled HSS preconditioner for steady-state space-fractional diffusion equations
    Chen, Fang
    Li, Tian-Yi
    NUMERICAL ALGORITHMS, 2021, 87 (02) : 651 - 665
  • [2] Fast modified scaled HSS preconditioner for steady-state space-fractional diffusion equations
    Lu, Kang-Ya
    Miao, Cun-Qiang
    APPLIED MATHEMATICS LETTERS, 2020, 101
  • [3] Lopsided scaled HSS preconditioner for steady-state space-fractional diffusion equations
    Chen, Fang
    Li, Tian-Yi
    Muratova, Galina, V
    CALCOLO, 2021, 58 (02)
  • [4] Lopsided scaled HSS preconditioner for steady-state space-fractional diffusion equations
    Fang Chen
    Tian-Yi Li
    Galina V. Muratova
    Calcolo, 2021, 58
  • [5] Fast preconditioned iterative methods for finite volume discretization of steady-state space-fractional diffusion equations
    Pan, Jianyu
    Ng, Michael
    Wang, Hong
    NUMERICAL ALGORITHMS, 2017, 74 (01) : 153 - 173
  • [6] Fast preconditioned iterative methods for finite volume discretization of steady-state space-fractional diffusion equations
    Jianyu Pan
    Michael Ng
    Hong Wang
    Numerical Algorithms, 2017, 74 : 153 - 173
  • [7] A superfast-preconditioned iterative method for steady-state space-fractional diffusion equations
    Wang, Hong
    Du, Ning
    JOURNAL OF COMPUTATIONAL PHYSICS, 2013, 240 : 49 - 57
  • [8] Differential Quadrature and Cubature Methods for Steady-State Space-Fractional Advection-Diffusion Equations
    Pang, Guofei
    Chen, Wen
    Sze, K. Y.
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2014, 97 (04): : 299 - 322
  • [9] Fast solution methods for space-fractional diffusion equations
    Wang, Hong
    Du, Ning
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 255 : 376 - 383
  • [10] A circulant preconditioner for the Riesz distributed-order space-fractional diffusion equations
    Huang, Xin
    Fang, Zhi-Wei
    Sun, Hai-Wei
    Zhang, Chun-Hua
    LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (16): : 3081 - 3096