An efficient multigrid solver for two-dimensional spatial fractional diffusion equations with variable coefficients
作者：
Highlights：
• The space-fractional derivatives are discretized by using the weighted average of shifted Grünwald formula.
• Both steady-state and time-dependent 2D spatial fractional diffusion equations with variable coefficients are considered.
• The EXCMG method with the biconjugate gradient stabilized smoother is extended to solve a dense nonsymmetric linear system.
• The EXCMG method is an efficient solver and performs better than the V-cycle multigrid method with banded-splitting smoother.
摘要
•The space-fractional derivatives are discretized by using the weighted average of shifted Grünwald formula.•Both steady-state and time-dependent 2D spatial fractional diffusion equations with variable coefficients are considered.•The EXCMG method with the biconjugate gradient stabilized smoother is extended to solve a dense nonsymmetric linear system.•The EXCMG method is an efficient solver and performs better than the V-cycle multigrid method with banded-splitting smoother.
论文关键词：Fractional diffusion equations,Cascadic multigrid method,Variable coefficients,Richardson extrapolation,Biconjugate gradient stabilized method
论文评审过程：Received 24 November 2020, Revised 4 February 2021, Accepted 6 February 2021, Available online 28 February 2021, Version of Record 28 February 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2021.126091
