Deriving recurrence formulae for orthogonal rationomials on a pyramid, version 2

In this document, I derive the recurrence formulae that we use for the orthogonal rational polynomial or rationomial basis that we use for finite elements on pyramid cells in Basix.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-06-24
DOI
https://doi.org/10.5281/zenodo.15641641
Primary Topic
Polynomial and algebraic computation
Type
article
Field-Weighted Citation Impact
0.00
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article

Deriving recurrence formulae for orthogonal rationomials on a pyramid, version 2

Zenodo (CERN European Organization for Nuclear Research)
Polynomial and algebraic computation
article

Deriving recurrence formulae for orthogonal rationomials on a pyramid, version 2

article en

Abstract

In this document, I derive the recurrence formulae that we use for the orthogonal rational polynomial or rationomial basis that we use for finite elements on pyramid cells in Basix.

Zenodo (CERN European Organization for Nuclear Research)
University College London (GB)
Openalex Percentile: Top 54%
Polynomial and algebraic computation
DOIOpen Access PDFOpenAlex
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Deriving recurrence formulae for orthogonal rationomials on a pyramid, version 2 · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS