Deriving recurrence formulae for orthogonal rationomials on a pyramid

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
2025-04-25
DOI
https://doi.org/10.5281/zenodo.15281516
Primary Topic
Advanced Differential Equations and Dynamical Systems
Type
article
Field-Weighted Citation Impact
0.00
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article

Deriving recurrence formulae for orthogonal rationomials on a pyramid

Zenodo (CERN European Organization for Nuclear Research)
Advanced Differential Equations and Dynamical Systems
article

Deriving recurrence formulae for orthogonal rationomials on a pyramid

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 47%
Advanced Differential Equations and Dynamical Systems
DOIOpen Access PDFOpenAlex
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Deriving recurrence formulae for orthogonal rationomials on a pyramid · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS