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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

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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
Depositing user: Pure Administrator
Date Deposited: 03 Aug 2012 10:09
Last modified: 17 Jun 2015 17:48
URI: http://strathprints.strath.ac.uk/id/eprint/40720

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