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_US
dc.description.sponsorshipThis research was supported by the National Science Foundation under grants CNS-0325314, DMS-0713876, and CNS-0719641.en_US
dc.description.urihttps://etna.math.kent.edu/vol.31.2008/pp384-402.dir/pp384-402.pdfen_US
dc.format.extent19 pagesen_US
dc.genrejournal articlesen_US
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_US
dc.identifier.urihttp://hdl.handle.net/11603/23166
dc.language.isoen_USen_US
dc.publisherKent State Universityen_US
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_US
dc.subjectdomain decomposition methodsen_US
dc.subjectiterative substructuringen_US
dc.subjectfinite element tearing and interconnectingen_US
dc.subjectbalancing domain decompositionen_US
dc.subjectBDDen_US
dc.subjectBDDCen_US
dc.subjectFETIen_US
dc.subjectFETI-DPen_US
dc.subjectP-FETI-DPen_US
dc.titleOn the Equivalence of Primal and Dual Substructuring Preconditionersen_US
dc.typeTexten_US
dcterms.creatorhttps://orcid.org/0000-0002-8053-8956en_US

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