A discrete C1 interpolant for tetrahedral data

Abstract

We assume an underlying three-dimensional domain that has been tesselated into tetrahedra. A piecewise rational scheme is described that interpolates to function and gradient values at the vertices of the tetrahedra. No other data are required. The scheme is local and has quadratic precision. Its construction is described and numerical examples are given. Copyright © 1984 Rocky Mountain Mathematics Consortium.