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BARNHILL’s Interpolation and Relevant Isoparametric Elements in Triangular Patches

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Precursors of Isogeometric Analysis

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 256))

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Abstract

This chapter discusses the derivation of macroelements based on Barnhill’s interpolation formula within triangular CAD patches. Particular attention is paid to the classical triangular elements up to the sixth degree. In both cases, not only boundary nodes but also internal ones will be considered. The performance of a single macroelement is tested in potential boundary value and eigenvalue problems (Laplace equation and acoustics). For the sake of brevity, the discussion restricts to C0-continuity only.

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Authors and Affiliations

  1. School of Mechanical Engineering, National Technical University of Athens, Athens, Greece

    Christopher G. Provatidis

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Correspondence to Christopher G. Provatidis .

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Provatidis, C.G. (2019). BARNHILL’s Interpolation and Relevant Isoparametric Elements in Triangular Patches. In: Precursors of Isogeometric Analysis. Solid Mechanics and Its Applications, vol 256. Springer, Cham. https://doi.org/10.1007/978-3-030-03889-2_5

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  • DOI: https://doi.org/10.1007/978-3-030-03889-2_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-03888-5

  • Online ISBN: 978-3-030-03889-2

  • eBook Packages: EngineeringEngineering (R0)

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