Deflated Krylov iterations in domain decomposition methods

Y. L. Gurieva, V. P. Ilin, D. V. Perevozkin

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review


The paper is dedicated to an experimental evaluation of some coarse grid techniques in the context of additive Schwarz method and Krylov subspace methods. Some theoretical aspects are considered and a few modifications of well-known methods are presented. The choice of a correction operator is also studied. The results indicate that a coarse grid correction approach may accelerate an iterative process if employed sensibly. The paper also presents a comparison of overlapping and coarse grid correction in terms of convergence speed and performance.

Original languageEnglish
Title of host publicationDomain Decomposition Methods in Science and Engineering XXIII
EditorsCO Lee, XC Cai, DE Keyes, HH Kim, A Klawonn, EJ Park, OB Widlund
PublisherSpringer-Verlag GmbH and Co. KG
Number of pages8
ISBN (Print)9783319523880
Publication statusPublished - 1 Jan 2017
Event23rd International Conference on Domain Decomposition Methods, DD23 - Jeju Island, Korea, Republic of
Duration: 5 Jul 20159 Jul 2015

Publication series

NameLecture Notes in Computational Science and Engineering
ISSN (Print)1439-7358


Conference23rd International Conference on Domain Decomposition Methods, DD23
CountryKorea, Republic of
City Jeju Island

Fingerprint Dive into the research topics of 'Deflated Krylov iterations in domain decomposition methods'. Together they form a unique fingerprint.

Cite this