In this paper we propose an alternative to the rational model presenting an isogeometric analysis approach based on generalized B-splines. Geometric models exactly represented by generalized B-splines include those generated by NURBS. Moreover, generalized B-splines possess all fundamental properties of algebraic B-splines (and NURBS) including classical refinement processes as h–p–k refinements. Finally, since generalized B-splines are not confined to rational functions, they behave completely similar to algebraic B-splines with respect to differentiation and integration. This seems to be of interest in the treatment of some relevant problems. 2010 Elsevier B.V. All rights reserved.

Manni, C., Pelosi, F., Sampoli, M. (2011). Generalized B-splines as a tool in Isogeometric Analysis. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 200, 867-881 [10.1016/j.cma.2010.10.010].

Generalized B-splines as a tool in Isogeometric Analysis

MANNI, CARLA;PELOSI, FRANCESCA;
2011-01-01

Abstract

In this paper we propose an alternative to the rational model presenting an isogeometric analysis approach based on generalized B-splines. Geometric models exactly represented by generalized B-splines include those generated by NURBS. Moreover, generalized B-splines possess all fundamental properties of algebraic B-splines (and NURBS) including classical refinement processes as h–p–k refinements. Finally, since generalized B-splines are not confined to rational functions, they behave completely similar to algebraic B-splines with respect to differentiation and integration. This seems to be of interest in the treatment of some relevant problems. 2010 Elsevier B.V. All rights reserved.
2011
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/08 - ANALISI NUMERICA
English
Con Impact Factor ISI
Isogeometric analysis; Generalized B-splines; NURBS; CAD
DOI:10.1016/j.cma.2010.10.010
Manni, C., Pelosi, F., Sampoli, M. (2011). Generalized B-splines as a tool in Isogeometric Analysis. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 200, 867-881 [10.1016/j.cma.2010.10.010].
Manni, C; Pelosi, F; Sampoli, M
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/41710
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