Stable splitting of bivariate spline spaces by Bernstein-Bézier methods

Davydov, Oleg and Saeed, Abid; Boissonnat et al, J.D., ed. (2012) Stable splitting of bivariate spline spaces by Bernstein-Bézier methods. In: Curves and Surfaces. Lecture Notes in Computer Science, 6920 . Springer-Verlag, FRA, pp. 220-235. ISBN 978-3-642-27412-1 (https://doi.org/10.1007/978-3-642-27413-8_14)

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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.

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• Item metadata

  Item type:	Book Section
  ID code:	40720
  Dates:	Date Event 2012 Published
  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:	08 Apr 2024 12:57
  URI:	https://strathprints.strath.ac.uk/id/eprint/40720