@inproceedings{a59795e1ade64d0ca67b3ad517e2d6ef,
title = "Stable splitting of bivariate spline spaces by Bernstein-B{\'e}zier methods",
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 B{\"o}hmer's method for solving fully nonlinear elliptic PDEs on polygonal domains. ",
keywords = "Bernstein-B{\'e}zier techniques, fully nonlinear PDE, Monge-Amp{\`e}re equation, multivariate splines",
author = "Oleg Davydov and Abid Saeed",
year = "2012",
doi = "10.1007/978-3-642-27413-8_14",
language = "English",
isbn = "978-3-642-27412-1",
volume = "6920",
series = "Lecture Notes in Computer Science",
publisher = "Springer-Verlag",
pages = "220--235",
editor = "{Boissonnat et al }, J.D.",
booktitle = "Curves and Surfaces",
note = "Curves and Surfaces - 7th International Conference ; Conference date: 24-06-2012 Through 30-06-2012",
}