We introduce isogeometric collocation methods based on generalized B-splines and we analyze their performance through numerical examples for univariate and multivariate scalar- and vector-valued problems. In particular, advection-diffusion and linear elasticity model problems are addressed. The resulting method combines the favorable properties of isogeometric collocation and the geometrical and analytical problem-oriented advantages of generalized B-splines.

Manni, C., Reali, A., Speleers, H. (2015). Isogeometric collocation methods with generalized B-splines. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 70(7), 1659-1675 [10.1016/j.camwa.2015.03.027].

Isogeometric collocation methods with generalized B-splines

Manni C.;Speleers H.
2015-10-01

Abstract

We introduce isogeometric collocation methods based on generalized B-splines and we analyze their performance through numerical examples for univariate and multivariate scalar- and vector-valued problems. In particular, advection-diffusion and linear elasticity model problems are addressed. The resulting method combines the favorable properties of isogeometric collocation and the geometrical and analytical problem-oriented advantages of generalized B-splines.
ott-2015
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/08 - ANALISI NUMERICA
English
Con Impact Factor ISI
Isogeometric analysis; Generalized B-splines; Collocation methods
Manni, C., Reali, A., Speleers, H. (2015). Isogeometric collocation methods with generalized B-splines. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 70(7), 1659-1675 [10.1016/j.camwa.2015.03.027].
Manni, C; Reali, A; Speleers, H
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/215165
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