Smooth macro-elements on Powell-Sabin-12 splits

Schumaker, Larry; Sorokina, Tatyana

doi:10.1090/S0025-5718-05-01813-2

Smooth macro-elements on Powell-Sabin-12 splits
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by Larry L. Schumaker and Tatyana Sorokina PDF

Math. Comp. 75 (2006), 711-726 Request permission

Abstract:

Macro-elements of smoothness $C^r$ are constructed on Powell- Sabin-$12$ splits of a triangle for all $r \ge 0$. 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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