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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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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