TY - JOUR

T1 - On Coarse Grid Correction Methods in Krylov Subspaces

AU - Gurieva, Y. L.

AU - Il’in, V. P.

PY - 2018/8/1

Y1 - 2018/8/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85049050900&partnerID=8YFLogxK

U2 - 10.1007/s10958-018-3907-9

DO - 10.1007/s10958-018-3907-9

M3 - Article

AN - SCOPUS:85049050900

VL - 232

SP - 774

EP - 782

JO - Journal of Mathematical Sciences (United States)

JF - Journal of Mathematical Sciences (United States)

SN - 1072-3374

IS - 6

ER -