Substructuring preconditioners for an h-p domain decomposition method with interior penalty mortaring

Handle URI:
http://hdl.handle.net/10754/594297
Title:
Substructuring preconditioners for an h-p domain decomposition method with interior penalty mortaring
Authors:
Antonietti, P. F.; Ayuso Dios, Blanca; Bertoluzza, S.; Pennacchio, M.
Abstract:
We propose and study an iterative substructuring method for an h-p Nitsche-type discretization, following the original approach introduced in Bramble et al. Math. Comp. 47(175):103–134, (1986) for conforming methods. We prove quasi-optimality with respect to the mesh size and the polynomial degree for the proposed preconditioner. Numerical experiments assess the performance of the preconditioner and verify the theory. © 2014, Springer-Verlag Italia.
KAUST Department:
Center for Uncertainty Quantification in Computational Science and Engineering (SRI-UQ); Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Antonietti PF, Ayuso de Dios B, Bertoluzza S, Pennacchio M (2014) Substructuring preconditioners for an $$h$$ h - $$p$$ p domain decomposition method with interior penalty mortaring. Calcolo 52: 289–316. Available: http://dx.doi.org/10.1007/s10092-014-0117-9.
Publisher:
Springer Science + Business Media
Journal:
Calcolo
Issue Date:
13-May-2014
DOI:
10.1007/s10092-014-0117-9
Type:
Article
ISSN:
0008-0624; 1126-5434
Sponsors:
MTM2011-27739-C04-04, MINECO, Ministerio de Economía y Competitividad
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorAntonietti, P. F.en
dc.contributor.authorAyuso Dios, Blancaen
dc.contributor.authorBertoluzza, S.en
dc.contributor.authorPennacchio, M.en
dc.date.accessioned2016-01-19T14:45:28Zen
dc.date.available2016-01-19T14:45:28Zen
dc.date.issued2014-05-13en
dc.identifier.citationAntonietti PF, Ayuso de Dios B, Bertoluzza S, Pennacchio M (2014) Substructuring preconditioners for an $$h$$ h - $$p$$ p domain decomposition method with interior penalty mortaring. Calcolo 52: 289–316. Available: http://dx.doi.org/10.1007/s10092-014-0117-9.en
dc.identifier.issn0008-0624en
dc.identifier.issn1126-5434en
dc.identifier.doi10.1007/s10092-014-0117-9en
dc.identifier.urihttp://hdl.handle.net/10754/594297en
dc.description.abstractWe propose and study an iterative substructuring method for an h-p Nitsche-type discretization, following the original approach introduced in Bramble et al. Math. Comp. 47(175):103–134, (1986) for conforming methods. We prove quasi-optimality with respect to the mesh size and the polynomial degree for the proposed preconditioner. Numerical experiments assess the performance of the preconditioner and verify the theory. © 2014, Springer-Verlag Italia.en
dc.description.sponsorshipMTM2011-27739-C04-04, MINECO, Ministerio de Economía y Competitividaden
dc.publisherSpringer Science + Business Mediaen
dc.subjectNitsche-type methoden
dc.subjectSubstructuring preconditionersen
dc.titleSubstructuring preconditioners for an h-p domain decomposition method with interior penalty mortaringen
dc.typeArticleen
dc.contributor.departmentCenter for Uncertainty Quantification in Computational Science and Engineering (SRI-UQ)en
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalCalcoloen
dc.contributor.institutionMOX, Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, Milan, Italyen
dc.contributor.institutionIstituto di Matematica Applicata e Tecnologie Informatiche del CNR, Via Ferrata, 1, Pavia, Italyen
kaust.authorAyuso Dios, Blancaen
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