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Smooth Macro-Elements Based on Powell–Sabin Triangle Splits

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Abstract

Macro-elements of smoothness C r on Powell–Sabin triangle splits are constructed for all r≥0. These new elements are improvements on elements constructed in [13] in that certain unneeded degrees of freedom have been removed.

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Alfeld, P., Schumaker, L.L. Smooth Macro-Elements Based on Powell–Sabin Triangle Splits. Advances in Computational Mathematics 16, 29–46 (2002). https://doi.org/10.1023/A:1014299228104

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