dc.date.accessioned | 2024-03-01T18:21:33Z | |
dc.date.available | 2024-03-01T18:21:33Z | |
dc.date.created | 2023-06-27T11:14:22Z | |
dc.date.issued | 2023 | |
dc.identifier.citation | Sogn, Jarle Takacs, Stefan . Stable discretizations and IETI-DP solvers for the Stokes system in multi-patch IgA. Mathematical Modelling and Numerical Analysis. 2023, 57(2), 921-952 | |
dc.identifier.uri | http://hdl.handle.net/10852/108880 | |
dc.description.abstract | We are interested in a fast solver for the Stokes equations, discretized with multi-patch Isogeometric Analysis. In the last years, several inf-sup stable discretizations for the Stokes problem have been proposed, often the analysis was restricted to single-patch domains. We focus on one of the simplest approaches, the isogeometric Taylor–Hood element. We show how stability results for single-patch domains can be carried over to multi-patch domains. While this is possible, the stability strongly depends on the shape of the geometry. We construct a Dual-Primal Isogeometric Tearing and Interconnecting (IETI-DP) solver that does not suffer from that effect. We give a convergence analysis and provide numerical tests. | |
dc.language | EN | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.title | Stable discretizations and IETI-DP solvers for the Stokes system in multi-patch IgA | |
dc.title.alternative | ENEngelskEnglishStable discretizations and IETI-DP solvers for the Stokes system in multi-patch IgA | |
dc.type | Journal article | |
dc.creator.author | Sogn, Jarle | |
dc.creator.author | Takacs, Stefan | |
cristin.unitcode | 185,15,13,0 | |
cristin.unitname | Matematisk institutt | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |
dc.identifier.cristin | 2158460 | |
dc.identifier.bibliographiccitation | info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Mathematical Modelling and Numerical Analysis&rft.volume=57&rft.spage=921&rft.date=2023 | |
dc.identifier.jtitle | Mathematical Modelling and Numerical Analysis | |
dc.identifier.volume | 57 | |
dc.identifier.issue | 2 | |
dc.identifier.startpage | 921 | |
dc.identifier.endpage | 952 | |
dc.identifier.doi | https://doi.org/10.1051/m2an/2023011 | |
dc.type.document | Tidsskriftartikkel | |
dc.type.peerreviewed | Peer reviewed | |
dc.source.issn | 0764-583X | |
dc.type.version | PublishedVersion | |