Quasi-interpolation in isogeometric analysis based on generalized B-splines

• DOI: 10.1016/j.cagd.2010.07.004
• Publication Date: 2010-07-16T09:26:29Z
• Authors: Paolo Costantini; Carla Manni; Francesca Pelosi; M. Lucia Sampoli
• Keywords: Quasi-interpolation, Isogeometric analysis, Generalized B-splines; Isogeometric analysis; Generalized B-splines; Isogeometric Analysis; Quasi-interpolation; Generalized B-splines; Isogeometric Analysi; Quasi-interpolation; 0101 mathematics; Settore MAT/08 - ANALISI NUMERICA; 01 natural sciences; Generalized B-spline

Isogeometric analysis is a new method for the numerical simulation of problems governed by partial differential equations. It possesses many features in common with finite element methods (FEM) but takes some inspiration from Computer Aided Design tools. We illustrate how quasi-interpolation methods can be suitably used to set Dirichlet boundary conditions in isogeometric analysis. In particular, we focus on quasi-interpolant projectors for generalized B-splines, which have been recently proposed as a possible alternative to NURBS in isogeometric analysis.