Giannelli, Carlotta and Jüttler, Bert:
Local and Adaptive Refinement with Hierarchical B-splines
Bollettino dell'Unione Matematica Italiana Serie 9 6 (2013), fasc. n.3, p. 735-740, (English)
pdf (426 Kb), djvu (101 Kb). | MR 3202851
Sunto
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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Con il contributo del Ministero per i Beni e le Attività Culturali