Geodesic
Local and Adaptive Refinement with Hierarchical B-splines
Bollettino della Unione matematica italiana, Série 9, Tome 6 (2013) no. 3, pp. 735-740

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

Adaptive spline models for geometric modeling and spline-based PDEs solvers have recently attracted increasing attention both in the context of computer aided geometric design and isogeometric analysis. In particular, approximation spaces defined over extensions of tensor-product meshes which allow axis aligned segments with T-junctions are currently receiving particular attention. In this short paper we review some recent results concerning the characterization of the space spanned by the hierarchical B-spline basis. In addition, we formulate a refinement algorithm which allows us to satisfy the conditions needed for this characterization. 
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     author = {Giannelli, Carlotta and J\"uttler, Bert},
     title = {Local and {Adaptive} {Refinement} with {Hierarchical} {B-splines}},
     journal = {Bollettino della Unione matematica italiana},
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     volume = {Ser. 9, 6},
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     year = {2013},
     mrnumber = {3202851},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2013_9_6_3_a15/}
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Giannelli, Carlotta; Jüttler, Bert. Local and Adaptive Refinement with Hierarchical B-splines. Bollettino della Unione matematica italiana, Série 9, Tome 6 (2013) no. 3, pp. 735-740. http://geodesic.mathdoc.fr/item/BUMI_2013_9_6_3_a15/