Stable Splitting of Bivariate Splines Spaces by Bernstein-Bézier Methods
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.
KeywordsFully nonlinear PDE Monge-Ampère equation multivariate splines Bernstein-Bézier techniques
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