Numerical quadrature for Gregory quads

Jun Zhou; Pieter J. Barendrecht; Jiri Kosinka; Michael Bartoň

doi:10.1016/j.amc.2023.128051

Numerical quadrature for Gregory quads

Jun Zhou, Pieter J. Barendrecht, Jiri Kosinka^*, Michael Bartoň

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Wetenschappelijke Visualisatie en Computergrafiek

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We investigate quadrature rules in the context of quadrilateral Gregory patches, in short Gregory quads. We provide numerical and where possible symbolic quadrature rules for the space spanned by the twenty polynomial/rational functions associated with Gregory quads, as well as the derived spaces including derivatives, products, and products of derivatives of these functions. This opens up the possibility for a wider adoption of Gregory quads in numerical simulations.

Originele taal-2	English
Artikelnummer	128051
Aantal pagina's	14
Tijdschrift	Applied Mathematics and Computation
Volume	453
DOI's	https://doi.org/10.1016/j.amc.2023.128051
Status	Published - 15-sep.-2023

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10.1016/j.amc.2023.128051Licentie: CC BY

Numerical quadrature for Gregory quadsFinal publisher's version, 1,91 MBLicentie: CC BY

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title = "Numerical quadrature for Gregory quads",

abstract = "We investigate quadrature rules in the context of quadrilateral Gregory patches, in short Gregory quads. We provide numerical and where possible symbolic quadrature rules for the space spanned by the twenty polynomial/rational functions associated with Gregory quads, as well as the derived spaces including derivatives, products, and products of derivatives of these functions. This opens up the possibility for a wider adoption of Gregory quads in numerical simulations.",

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AB - We investigate quadrature rules in the context of quadrilateral Gregory patches, in short Gregory quads. We provide numerical and where possible symbolic quadrature rules for the space spanned by the twenty polynomial/rational functions associated with Gregory quads, as well as the derived spaces including derivatives, products, and products of derivatives of these functions. This opens up the possibility for a wider adoption of Gregory quads in numerical simulations.

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DO - 10.1016/j.amc.2023.128051

M3 - Article

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JO - Applied Mathematics and Computation

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