Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 369, Issue -, Pages -Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2020.113230
Keywords
Adaptive refinement; LR B-splines; Local linear independence; Quasi-interpolation; Isogeometric analysis
Funding
- European Union's Horizon 2020 Research and Innovation Programme [675789]
- MIUR Excellence Department Project [CUP E83C18000100006]
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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. (C) 2020 The Author(s). Published by Elsevier B.V. This is an open access article under theCCBYlicense (http://creativecommons.org/licenses/by/4.0/).
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