A bivariate C1 C 1 cubic super spline space on PowellSabin triangulation
A bivariate C1 C 1 cubic super spline is constructed on PowellSabin type-1 split with the additional smoothness at vertices in the original triangulation being C2 C 2 , which permits the Hermite interpolation up to the second order partial derivatives exactly on all the vertices in the original triangulation. The locally supported dual basis and computational details using derivatives around each vertex are given.
super spline powellsabin type-1 split hermite interpolation macro-element nodal parameters