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 [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.File in questo prodotto:
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