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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

Polynomial interpolation to boundary data on triangles


Authors: R. E. Barnhill and J. A. Gregory
Journal: Math. Comp. 29 (1975), 726-735
MSC: Primary 65D10
MathSciNet review: 0375735
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Abstract: Boolean sum interpolation theory is used to derive a polynomial interpolant which interpolates a function $ F \in {C^N}(\bar T)$, and its derivatives of order N and less, on the boundary $ \partial T$ of a triangle T. A triangle with one curved side is also considered.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1975-0375735-3
PII: S 0025-5718(1975)0375735-3
Keywords: Bivariate interpolation, Coons patches for triangles, polynomial blending functions, blending function interpolation methods, Boolean sum interpolation, curved boundary finite elements
Article copyright: © Copyright 1975 American Mathematical Society