Cristin-resultat-ID: 1975689
Sist endret: 30. august 2022, 08:41
Resultat
Vitenskapelig foredrag
2021

On the effect of scaled B-splines for different approaches to locally refined splines

Bidragsytere:
  • Tor Dokken

Presentasjon

Navn på arrangementet: Geometric Modeling: Interoperability and New Challenges
Sted: Dagstuhl
Dato fra: 21. november 2021
Dato til: 26. november 2021

Arrangør:

Arrangørnavn: Dagstuhl Seminar 21471

Om resultatet

Vitenskapelig foredrag
Publiseringsår: 2021

Klassifisering

Vitenskapsdisipliner

Algoritmer og beregnbarhetsteori • Matematisk modellering og numeriske metoder

Emneord

Splines

Beskrivelse Beskrivelse

Tittel

On the effect of scaled B-splines for different approaches to locally refined splines

Sammendrag

Both Truncated Hierarchical B-splines, Standard T-splines and LR B-splines use scaled B-splines as part of the construction to ensure partition of unity. Certain configurations of refinements have a surprisingly big effect on the scaling factor. As the scaling factors have a direct effect on magnitude of the elements in the mass and stiffness matrices scaling consequently directly impacts the condition numbers of these matrices. The talk will address how these effects can be observed already for bi-degree (3,3), and that the effect grows with growing polynomial degrees.

Bidragsytere

Tor Dokken

  • Tilknyttet:
    Forfatter
    ved Mathematics and Cybernetics ved SINTEF AS
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