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Interpolation operators on a tetrahedron with three curved edges

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Abstract

We construct Lagrange, Hermite and Birkhoff-type operators, which interpolate a given function and some of its derivatives on the border of a tetrahedron with three straight edges and three curved edges; we consider as well some of their product and boolean sum operators. We study the interpolation properties and the order of accuracy of the constructed operators. Finally, we give some applications and numerical examples.

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Authors and Affiliations

  1. Department of Numerical and Statistical Calculus, Faculty of Mathematics and Computer Science, “Babes-Bolyai” University, Kogalniceanu 1, 400084, Cluj-Napoca, Romania

    Gheorge Coman & Teodora Cătinaş

Authors
  1. Gheorge Coman
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  2. Teodora Cătinaş
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Correspondence to Teodora Cătinaş.

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Coman, G., Cătinaş, T. Interpolation operators on a tetrahedron with three curved edges. Calcolo 47, 113–128 (2010). https://doi.org/10.1007/s10092-009-0016-7

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  • DOI: https://doi.org/10.1007/s10092-009-0016-7

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