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Additive average Schwarz with adaptive coarse spaces: scalable algorithms for multiscale problems

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dc.abstract.enWe present an analysis of the additive average Schwarz preconditioner with two newly proposed adaptively enriched coarse spaces, which were presented at the twenty-third international conference on domain decomposition methods in Korea, for solving second-order elliptic problems with highly varying and discontinuous coefficients. It is shown that the condition number of the preconditioned system is bounded independently of the variations and the jumps in the coefficient while depending only on a prescribed threshold for the eigenvalues of the coarse space, and it depends linearly on the mesh parameter ratio H/h that is the ratio between the subdomain size and the mesh size thereby retaining the same optimality and scalability of the original additive average Schwarz preconditioner.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorMarcinkowski, Leszek
dc.contributor.authorRahman, Talal
dc.date.accessioned2024-01-24T15:38:34Z
dc.date.available2024-01-24T15:38:34Z
dc.date.issued2018
dc.description.financeNie dotyczy
dc.description.volume49
dc.identifier.doi10.1553/ETNA_VOL49S28
dc.identifier.issn1068-9613
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/100249
dc.identifier.weblinkhttps://epub.oeaw.ac.at/?arp=0x003889cd
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofElectronic Transactions on Numerical Analysis
dc.relation.pages28-40
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.subject.endomain decomposition preconditioner
dc.subject.enadditive average Schwarz method
dc.subject.enadaptive coarse space
dc.subject.enmultiscale finite element
dc.titleAdditive average Schwarz with adaptive coarse spaces: scalable algorithms for multiscale problems
dc.typeJournalArticle
dspace.entity.typePublication