Stable splitting of bivariate spline spaces by Bernstein-Bézier methods

O. Davydov and A. Saeed, Stable splitting of bivariate spline spaces by Bernstein-Bézier methods, in "Curves and Surfaces - 7th International Conference, Avignon, France, June 24-30, 2010" (J.-D. Boissonnat et al, Eds.), pp. 220-235, LNCS 6920, Springer-Verlag, 2012. doi:10.1007/978-3-642-27413-8_14

Abstract: We develop stable splitting of the minimal determining sets for the spaces of bivariate C1 splines on triangulations, including a modified Argyris space, Clough-Tocher, Powell-Sabin and quadrilateral macro-element spaces. This leads to the stable splitting of the corresponding bases as required in Böhmer's method for solving fully nonlinear elliptic PDEs on polygonal domains.

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