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Local and Adaptive Refinement with Hierarchical B-splines

Carlotta GiannelliBert Jüttler — 2013

Bollettino dell'Unione Matematica Italiana

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...

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