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A Note on the Shape Regularity of Worsey–Farin Splits

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Abstract

We prove three-dimensional Worsey–Farin refinements inherit their parent triangulations’ shape regularity.

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Funding

Johnny Guzmán was supported in part by NSF Grant DMS-1913083. Michael Neilan was supported in part by NSF Grant DMS-2011733.

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Authors and Affiliations

  1. Division of Applied Mathematics, Brown University, Providence, RI, 02912, USA

    Sining Gong & Johnny Guzmán

  2. Department of Mathematics, University of Pittsburgh, Pittsburgh, PA, 15260, USA

    Michael Neilan

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  1. Sining Gong
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  2. Johnny Guzmán
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  3. Michael Neilan
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Correspondence to Sining Gong.

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Johnny Guzmán was supported in part by NSF grant DMS-1913083. Michael Neilan author was supported in part by NSF grant DMS-2011733.

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Gong, S., Guzmán, J. & Neilan, M. A Note on the Shape Regularity of Worsey–Farin Splits. J Sci Comput 95, 46 (2023). https://doi.org/10.1007/s10915-023-02159-9

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  • DOI: https://doi.org/10.1007/s10915-023-02159-9

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