dc.contributor.author | Lyche, Tom Johan | |
dc.contributor.author | Muntingh, Agnar Georg Peder | |
dc.date.accessioned | 2018-01-30T12:53:31Z | |
dc.date.available | 2018-01-30T12:53:31Z | |
dc.date.created | 2016-07-20T14:50:46Z | |
dc.date.issued | 2016 | |
dc.identifier.citation | Constructive approximation. 2016, 45 (1), 1-32. | nb_NO |
dc.identifier.issn | 0176-4276 | |
dc.identifier.uri | http://hdl.handle.net/11250/2480674 | |
dc.description.abstract | For the space of \(C^3\) quintics on the Powell–Sabin 12-split of a triangle, we determine explicitly the six symmetric simplex spline bases that reduce to a B-spline basis on each edge and have a positive partition of unity, a Marsden identity that splits into real linear factors, and an intuitive domain mesh. The bases are stable in the \(L_\infty \) norm with a condition number independent of the geometry and have a well-conditioned Lagrange interpolant at the domain points and a quasi-interpolant with local approximation order 6. We show an \(h^2\) bound for the distance between the control points and the values of a spline at the corresponding domain points. For one of these bases, we derive \(C^0\), \(C^1\), \(C^2\), and \(C^3\) conditions on the control points of two splines on adjacent macrotriangles. | |
dc.language.iso | eng | nb_NO |
dc.title | Stable Simplex Spline Bases for C3 Quintics on the Powell–Sabin 12-Split | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | acceptedVersion | |
dc.source.pagenumber | 1-32 | nb_NO |
dc.source.volume | 45 | nb_NO |
dc.source.journal | Constructive approximation | nb_NO |
dc.source.issue | 1 | nb_NO |
dc.identifier.doi | 10.1007/s00365-016-9332-8 | |
dc.identifier.cristin | 1368809 | |
dc.relation.project | Norges forskningsråd: 222335 | nb_NO |
cristin.unitcode | 7401,90,11,0 | |
cristin.unitname | Anvendt matematikk | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 2 | |