Polynomial interpolation to boundary data on triangles

Barnhill, R. E.; Gregory, J. A.

doi:10.1090/S0025-5718-1975-0375735-3

Polynomial interpolation to boundary data on triangles
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by R. E. Barnhill and J. A. Gregory PDF

Math. Comp. 29 (1975), 726-735 Request permission

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.

References

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