Numerical quadrature for Gregory quads

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

*Corresponding author for this work

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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.
Original languageEnglish
Article number128051
Number of pages14
JournalApplied Mathematics and Computation
Publication statusPublished - 15-Sept-2023

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