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• W2751872818 abstract "In this article we introduce all the ingredients to develop adaptive isogeometric methods based on hierarchical B-splines. In particular, we give precise definitions of local refinement and coarsening that, unlike previously existing methods, can be understood as the inverse of each other. We also define simple and intuitive data structures for the implementation of hierarchical B-splines, and algorithms for refinement and coarsening that take advantage of local information. We complete the paper with some simple numerical tests to show the performance of the data structures and algorithms, that have been implemented in the open-source Octave/Matlab code GeoPDEs." @default.
• W2751872818 created "2017-09-15" @default.
• W2751872818 creator A5071603624 @default.
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• W2751872818 date "2018-01-01" @default.
• W2751872818 modified "2023-10-16" @default.
• W2751872818 title "Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines" @default.
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• W2751872818 doi "https://doi.org/10.1016/j.apnum.2017.08.006" @default.
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