On Coarse Grid Correction Methods in Krylov Subspaces

Y. L. Gurieva, V. P. Il’in

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)774-782
Number of pages9
JournalJournal of Mathematical Sciences (United States)
Issue number6
Publication statusPublished - 1 Aug 2018


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