Advances in Analysis

Download PDF (5336.7 KB) PP. 95 - 113 Pub. Date: October 25, 2016

DOI: 10.22606/aan.2016.12005

• Isabella Cravero, Catterina Dagnino and Sara Remogna
  Department of Mathematics, University of Torino, via C. Alberto, 10 - 10123 Torino, Italy

In this paper we consider and analyse NURBS based on bivariate quadratic B-splines on criss-cross triangulations of the parametric domain Ω₀ = [0, 1] × [0, 1], presenting their main properties, showing their performances to exactly construct quadric surfaces and reporting some applications related to the modeling of objects. Moreover, we propose applications to the numerical solution of partial differential equations, with mixed boundary conditions on a given physical domain , by using three different spline methods to set the prescribed Dirichlet boundary conditions.

Bivariate NURBS, criss-cross triangulation, differential problem.

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