Cristin-resultat-ID: 1368809
Sist endret: 5. januar 2018, 09:54
NVI-rapporteringsår: 2016
Resultat
Vitenskapelig artikkel
2016

Stable Simplex Spline Bases for C3 Quintics on the Powell–Sabin 12-Split

Bidragsytere:
  • Tom Johan Lyche og
  • Agnar Georg Peder Muntingh

Tidsskrift

Constructive approximation
ISSN 0176-4276
e-ISSN 1432-0940
NVI-nivå 2

Om resultatet

Vitenskapelig artikkel
Publiseringsår: 2016
Publisert online: 2016
Trykket: 2017
Volum: 45
Hefte: 1
Sider: 1 - 32
Open Access

Importkilder

Scopus-ID: 2-s2.0-84964034388

Beskrivelse Beskrivelse

Tittel

Stable Simplex Spline Bases for C3 Quintics on the Powell–Sabin 12-Split

Sammendrag

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.

Bidragsytere

Aktiv cristin-person

Tom Lyche

Bidragsyterens navn vises på dette resultatet som Tom Johan Lyche
  • Tilknyttet:
    Forfatter
    ved Matematisk institutt ved Universitetet i Oslo

Agnar Georg Peder Muntingh

  • Tilknyttet:
    Forfatter
    ved Mathematics and Cybernetics ved SINTEF AS
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