Algorithms for the implementation of adaptive isogeometric methods using hierarchical splines

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TitleAlgorithms for the implementation of adaptive isogeometric methods using hierarchical splines
Publication TypeIMATI_Reports
MonthJuly
Year of Publication2016
AuthorsVázquez, R., and Garau E.M.
Series TitleIMATI Report Series
nr.16-08
Pagination37
CityPavia
InstitutionIMATI-CNR
Keywordsadaptive methods, coarsening, hierarchical splines, Isogeometric analysis, local refinement
Abstract

In this article we introduce all the ingredients to develop adaptive isogeometric methods based on hierarchical 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 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 opensource Octave/Matlab code GeoPDEs.

URLhttp://www.bibliograzia.imati.cnr.it/reports/algorithms-implementation-adaptive-isogeometric-methods-using-hierarchical-splines
Citation Keybibrep16-08
Access Date13/07/2016
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