SIDE-VERTEX METHOD FOR INTERPOLATION IN TRIANGLES

Interpolation schemes which assume prescribed values on the boundary of a triangle are presented. The development of these interpolants is based upon univariate interpolation along line segments joining a vertex and a side. Initially, methods which only interpolate to function values on the boundary are described. This is followed by the application of several techniques which extend these methods so as to include interpolation to first order derivatives on the boundary. © 1979.