On Cubic and Quartic Clough–Tocher Finite Elements
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A short proof is given of Ciarlet’s result that the nodal parameters for the cubic Clough–Tocher macroelement uniquely determine a $C^1 $ piecewise polynomial of degree 3. Also, a quartic macroelement is introduced and it is shown that the nodal parameters for this element uniquely determine a $C^1 $ piecewise polynomial of degree 4.