Stable splitting of bivariate spline spaces by Bernstein-Bézier methods

Davydov, Oleg and Saeed, Abid (2012) Stable splitting of bivariate spline spaces by Bernstein-Bézier methods. In: Curves and Surfaces. Lecture Notes in Computer Science, 6920 . Springer-Verlag, pp. 220-235. ISBN 978-3-642-27412-1

Preview

PDF - Draft Version
Download (1228Kb) | Preview

Official URL: http://dx.doi.org/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.

Item type:	Book Section
ID code:	40720
Keywords:	Bernstein-Bézier techniques, fully nonlinear PDE, Monge-Ampère equation, multivariate splines, Probabilities. Mathematical statistics
Subjects:	Science > Mathematics > Probabilities. Mathematical statistics
Department:	Faculty of Science > Mathematics and Statistics
Related URLs:
Depositing user:	Pure Administrator
Date Deposited:	03 Aug 2012 11:09
Last modified:	14 Dec 2012 12:03
URI:	http://strathprints.strath.ac.uk/id/eprint/40720

Actions (login required)

View Item

Stable splitting of bivariate spline spaces by Bernstein-Bézier methods

Abstract

Actions (login required)

Fulltext Downloads: