In this paper, we describe an adaptive refinement strategy for LR B-splines. The presented strategy ensures, at each iteration, local linear independence of the obtained set of LR B-splines. This property is then exploited in two applications: the construction of efficient quasi-interpolation schemes and the numerical solution of elliptic problems using the isogeometric Galerkin method.

Patrizi, F., Manni, C., Pelosi, F., Speleers, H. (2020). Adaptive refinement with locally linearly independent LR B-splines: theory and applications. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 369, 113230 [10.1016/j.cma.2020.113230].

Adaptive refinement with locally linearly independent LR B-splines: theory and applications

Manni, C;Pelosi, F;Speleers, H
2020-09-01

Abstract

In this paper, we describe an adaptive refinement strategy for LR B-splines. The presented strategy ensures, at each iteration, local linear independence of the obtained set of LR B-splines. This property is then exploited in two applications: the construction of efficient quasi-interpolation schemes and the numerical solution of elliptic problems using the isogeometric Galerkin method.
1-set-2020
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/08 - ANALISI NUMERICA
English
Con Impact Factor ISI
Patrizi, F., Manni, C., Pelosi, F., Speleers, H. (2020). Adaptive refinement with locally linearly independent LR B-splines: theory and applications. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 369, 113230 [10.1016/j.cma.2020.113230].
Patrizi, F; Manni, C; Pelosi, F; Speleers, H
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/253374
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