Complexity of hierarchical refinement for a class of admissible mesh configurations
Complexity of hierarchical refinement for a class of admissible mesh configurations
dc.contributor.author | Buffa, Annalisa | |
dc.contributor.author | Giannelli, Carlotta | |
dc.contributor.author | Morgenstern, Philipp | |
dc.contributor.author | Peterseim, Daniel | |
dc.date.accessioned | 2024-08-21T09:47:11Z | |
dc.date.available | 2024-08-21T09:47:11Z | |
dc.date.issued | 09.2015 | |
dc.identifier.uri | https://hdl.handle.net/20.500.11811/11900 | |
dc.description.abstract | An adaptive isogeometric method based on d-variate hierarchical spline constructions can be derived by considering a refine module that preserves a certain class of admissibility between two consecutive steps of the adaptive loop [6]. In this paper we provide a complexity estimate, i.e., an estimate on how the number of mesh elements grows with respect to the number of elements that are marked for refinement by the adaptive strategy. Our estimate is in the line of the similar ones proved in the finite element context, [3, 24]. | en |
dc.format.extent | 16 | |
dc.language.iso | eng | |
dc.relation.ispartofseries | INS Preprints ; 1519 | |
dc.rights | In Copyright | |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
dc.subject | isogeometric analysis | |
dc.subject | hierarchical splines | |
dc.subject | THB-splines | |
dc.subject | adaptivity | |
dc.subject.ddc | 510 Mathematik | |
dc.subject.ddc | 518 Numerische Analysis | |
dc.title | Complexity of hierarchical refinement for a class of admissible mesh configurations | |
dc.type | Preprint | |
dc.publisher.name | Institut für Numerische Simulation (INS) | |
dc.publisher.location | Bonn | |
dc.rights.accessRights | openAccess | |
dc.relation.doi | https://doi.org/10.1016/j.cagd.2016.04.003 | |
ulbbn.pubtype | Zweitveröffentlichung | |
dcterms.bibliographicCitation.url | https://ins.uni-bonn.de/publication/preprints |
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