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dc.contributor.authorda Veiga, L. Beirão
dc.contributor.authorPavarino, L. F.
dc.contributor.authorScacchi, S.
dc.contributor.authorWidlund, O. B.
dc.contributor.authorZampini, Stefano
dc.date.accessioned2016-04-11T12:13:15Z
dc.date.available2016-04-11T12:13:15Z
dc.date.issued2016
dc.identifier.citationda Veiga, L.B., Pavarino, L.F., Scacchi, S., Widlund, O.B. and Zampini, S., 2016. BDDC deluxe for isogeometric analysis. In Domain Decomposition Methods in Science and Engineering XXII (pp. 15-28). Springer International Publishing.
dc.identifier.isbn978-3-319-18826-3
dc.identifier.issn1439-7358
dc.identifier.doi10.1007/978-3-319-18827-0_2
dc.identifier.urihttp://hdl.handle.net/10754/604999
dc.description.abstractThe main goal of this paper is to design, analyze, and test a BDDC (Balancing Domain Decomposition by Constraints, see [12, 23]) preconditioner for Isogeometric Analysis (IGA), based on a novel type of interface averaging, which we will denote by deluxe scaling, with either full or reduced set of primal constraints. IGA is an innovative numerical methodology, introduced in [17] and first analyzed in [1], where the geometry description of the PDE domain is adopted from a Computer Aided Design (CAD) parametrization usually based on Non-Uniform Rational B-Splines (NURBS) and the same NURBS basis functions are also used as the PDEs discrete basis, following an isoparametric paradigm; see the monograph [10]. Recent works on IGA preconditioners have focused on overlapping Schwarz preconditioners [3, 5, 7, 9], multigrid methods [16], and non-overlapping preconditioners [4, 8, 20].
dc.language.isoen
dc.publisherSpringer Nature
dc.relation.urlhttp://link.springer.com/chapter/10.1007%2F978-3-319-18827-0_2
dc.rightsThe final publication is available at Springer via http://dx.doi.org/10.1007/978-3-319-18827-0_2
dc.titleBDDC Deluxe for Isogeometric Analysis
dc.typeBook Chapter
dc.identifier.eissn2197-7100
dc.contributor.departmentExtreme Computing Research Center
dc.identifier.journalDomain Decomposition Methods in Science and Engineering XXII
dc.eprint.versionPost-print
dc.contributor.institutionDipartimento di Matematica, Università di Milano, Via Saldini 50, 20133, Milano, Italy
dc.contributor.institutionCourant Institute of Mathematical Sciences, 251 Mercer Street, New York, NY, 10012, USA
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)
kaust.personZampini, Stefano
refterms.dateFOA2017-03-21T00:00:00Z


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