Peter Alfeld Department of Mathematics College of Science University of Utah
The Bernstein Bézier Form Home Page Examples
Spline Spaces and Minimal Determining Sets    User's Guide Residual Arithmetic
Triangulations How does it work?    Bibliography

Smooth Finite Elements Based on Clough-Tocher Triangle Split Triangles

by Peter Alfeld and Larry Schumaker.

Numerische Mathematik, to appear.


Macro elements of smoothness Cr are constructed on Clough-Tocher triangle splits for all r >= 0. In contrast to earlier constructions, our elements depend only on natural derivative information. Numerical Experiments on Hermite interpolation with the new elements are included.

Use this applet to generate Figures like Figure 1 in the paper

Use this applet to generate other Figures like those produced in the paper: