Smooth macro-elements based on Clough-Tocher triangle splits

摘要

Summary. Macro-elements of smoothness $C^r$ on Clough-Tocher triangle splits are constructed for all $r ge 0$ . These new elements are improvements on elements constructed in [11] in that (disproving a conjecture made there) certain unneeded degrees of freedom have been removed. Numerical experiments on Hermite interpolation with the new elements are included.