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.
|Name||Lecture Notes in Computer Science|
|Conference||Curves and Surfaces - 7th International Conference|
|Period||24/06/12 → 30/06/12|
- Bernstein-Bézier techniques
- fully nonlinear PDE
- Monge-Ampère equation
- multivariate splines