We construct a rational scheme interpolating a Taylor field of order 1 (or a function and its first partial derivatives) given on the edge of a Triangle T with accute angles. We don’t use blending functions of Barnhill-Birkhoff and Gordon, but another way, namely: smooth partitions of unity, Taylor formula and Whitney’s extension theorem. We obtain bounds for the interpolating error which are of the same order as polynomial interpolation at the three vertices of T.


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Copyright information

© Springer Basel AG 1980

Authors and Affiliations

  • Alain Le Mehaute
    • 1
  1. 1.Institut National des Sciences AppliquéesRennes CedexFrance

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