当前位置: X-MOL 学术J. Appl. Math. Comput. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Preconditioners for all-at-once system from the fractional mobile/immobile advection–diffusion model
Journal of Applied Mathematics and Computing ( IF 2.4 ) Pub Date : 2020-07-30 , DOI: 10.1007/s12190-020-01410-y
Yong-Liang Zhao , Xian-Ming Gu , Meng Li , Huan-Yan Jian

The all-at-once system arising from fractional mobile/immobile advection–diffusion equations is studied. Firstly, the finite difference method with L1 formula is employed to discretize it. The resulting implicit scheme is a time-stepping scheme, which is not suitable for parallel computing. Based on this scheme, an all-at-once system is established, which will be suitable for parallel computing. Secondly, according to the block lower triangular Toeplitz structure of the all-at-once system, both the block bi-diagonal preconditioner and block stair preconditioner are designed. Finally, numerical examples are presented to show the performances of the proposed preconditioners.



中文翻译:

移动/不固定对流扩散模型中的一次性系统的预处理器

研究了由分数阶移动/不移动对流扩散方程产生的全一次系统。首先,采用L 1公式的有限差分法对其进行离散化。所得的隐式方案是时间步进方案,不适用于并行计算。基于此方案,建立了一个适用于并行计算的一次性系统。其次,根据一次系统的块下三角Toeplitz结构,设计了块双对角预处理器和块楼梯预处理器。最后,通过数值例子说明了所提出的预处理器的性能。

更新日期:2020-07-31
down
wechat
bug