Smooth macro-elements on Powell-Sabin-12 splits

Macro-elements of smoothness C r are constructed on Powell-Sabin-12 splits of a triangle for all r ≥ 0. These new elements complement those recently constructed on Powell-Sabin-6 splits and can be used to construct convenient superspline spaces with stable local bases and full approximation power that can be applied to the solution of boundary-value problems and for interpolation of Hermite data.

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