dc.contributor.author | Patrizi, Francesco | |
dc.contributor.author | Dokken, Tor | |
dc.date.accessioned | 2020-01-07T13:35:26Z | |
dc.date.available | 2020-01-07T13:35:26Z | |
dc.date.created | 2020-01-03T13:07:25Z | |
dc.date.issued | 2019 | |
dc.identifier.issn | 0167-8396 | |
dc.identifier.uri | http://hdl.handle.net/11250/2635135 | |
dc.description.abstract | The focus on locally refined spline spaces has grown rapidly in recent years due to the need in Isogeometric Analysis (IgA) of spline spaces with local adaptivity: a property not offered by the strict regular structure of tensor product B-spline spaces. However, this flexibility sometimes results in collections of B-splines spanning the space that are not linearly independent. In this paper we address the minimal number of Minimal Support B-splines (MS B-splines) and of Locally Refined B-splines (LR B-splines) that can form a linear dependence relation. We show that such minimal numbers are six for MS B-splines and eight for LR B-splines. Further results are established to help detecting collections of B-splines that are linearly independent. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | Elsevier | nb_NO |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.subject | LR B-splines | nb_NO |
dc.subject | Local refinements | nb_NO |
dc.subject | Linear dependence | nb_NO |
dc.subject | Minimal support | nb_NO |
dc.title | Linear dependence of bivariate Minimal Support and Locally Refined B-splines over LR-meshes | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | publishedVersion | nb_NO |
dc.rights.holder | © 2019 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). | nb_NO |
dc.source.volume | 77 | nb_NO |
dc.source.journal | Computer Aided Geometric Design | nb_NO |
dc.identifier.doi | 10.1016/j.cagd.2019.101803 | |
dc.identifier.cristin | 1765871 | |
cristin.unitcode | 7401,90,26,0 | |
cristin.unitname | Mathematics and Cybernetics | |
cristin.ispublished | true | |
cristin.qualitycode | 2 | |