A transfinite C2 interpolant over triangles

Abstract

A transfinite C2 interpolant on a general triangle is created. The required data are essentially C2, no compatibility conditions arise, and the precision set includes all polynomials of degree less than or equal to eight. The symbol manipulation language REDUCE is used to derive the scheme. The scheme is discretized to two different finite dimensional C2 interpolants in an appendix. © 1984 Rocky Mountain Journal of Mathematics.