On the Equivalence of Primal and Dual Substructuring Preconditioners

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dc.contributor.authorSousedik, Bedrich
dc.contributor.authorMandel, Jan
dc.date.accessioned2021-10-27T17:34:25Z
dc.date.available2021-10-27T17:34:25Z
dc.date.issued2009-09-30
dc.description.abstractAfter a short historical review, we present four popular substructuring methods: FETI-1, BDD, FETIDP, BDDC, and derive the primal versions to the two FETI methods, called P-FETI-1 and P-FETI-DP, as proposed by Fragakis and Papadrakakis. The formulation of the BDDC method shows that it is the same as P-FETI-DP and the same as a preconditioner introduced by Cros. We prove the equality of eigenvalues of a particular case of the FETI-1 method and of the BDD method by applying a recent abstract result by Fragakis.en
dc.description.sponsorshipThis research was supported by the National Science Foundation under grants CNS-0325314, DMS-0713876, and CNS-0719641.en
dc.description.urihttps://etna.math.kent.edu/vol.31.2008/pp384-402.dir/pp384-402.pdfen
dc.format.extent19 pagesen
dc.genrejournal articlesen
dc.identifierdoi:10.13016/m2tyvi-mb25
dc.identifier.citationSousedik, Bedrich; Mandel, Jan; On the Equivalence of Primal and Dual Substructuring Preconditioners; Electronic Transactions on Numerical Analysis, Volume 31, pp. 384-402, 30 September, 2009; https://etna.math.kent.edu/vol.31.2008/pp384-402.dir/pp384-402.pdfen
dc.identifier.urihttp://hdl.handle.net/11603/23166
dc.language.isoenen
dc.publisherKent State Universityen
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Mathematics Department Collection
dc.rightsThis item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.en
dc.subjectdomain decomposition methodsen
dc.subjectiterative substructuringen
dc.subjectfinite element tearing and interconnectingen
dc.subjectbalancing domain decompositionen
dc.subjectBDDen
dc.subjectBDDCen
dc.subjectFETIen
dc.subjectFETI-DPen
dc.subjectP-FETI-DPen
dc.titleOn the Equivalence of Primal and Dual Substructuring Preconditionersen
dc.typeTexten
dcterms.creatorhttps://orcid.org/0000-0002-8053-8956en

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