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.
Adaptive refinement with locally linearly independent LR B-splines: Theory and applications / Patrizi F.; Manni C.; Pelosi F.; Speleers H.. - In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. - ISSN 0045-7825. - ELETTRONICO. - 369:(2020), pp. 113230.113230-113230.113230. [10.1016/j.cma.2020.113230]
Adaptive refinement with locally linearly independent LR B-splines: Theory and applications
Patrizi F.
;Manni C.;Pelosi F.;Speleers H.
2020
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.
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