On Coarse Grid Correction Methods in Krylov Subspaces
- 作者: Gurieva Y.1,2, Il’in V.1,2
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隶属关系:
- Institute of Computational Mathematics and Mathematical Geophysics SO RAS
- Novosibirsk State University
- 期: 卷 232, 编号 6 (2018)
- 页面: 774-782
- 栏目: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241433
- DOI: https://doi.org/10.1007/s10958-018-3907-9
- ID: 241433
如何引用文章
详细
Two approaches using coarse grid correction in the course of a certain Krylov iterative process are presented. The aim of the correction is to accelerate the iterations. These approaches are based on an approximation of the function sought for by simple basis functions having finite supports. Additional acceleration can be achieved if the iterative process is restarted and the approximate solution is refined. In this case, the resulting process turns out to be a two-level preconditioned method. The influence of different parameters of the iterative process on its convergence is demonstrated by numerical results.
作者简介
Y. Gurieva
Institute of Computational Mathematics and Mathematical Geophysics SO RAS; Novosibirsk State University
编辑信件的主要联系方式.
Email: yana@lapasrv.sscc.ru
俄罗斯联邦, Novosibirsk; Novosibirsk
V. Il’in
Institute of Computational Mathematics and Mathematical Geophysics SO RAS; Novosibirsk State University
Email: yana@lapasrv.sscc.ru
俄罗斯联邦, Novosibirsk; Novosibirsk