71 citations · 286 across the 19 of their papers we have counts for
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Weighted quadrature for hierarchical B-splines
Carlotta Giannelli, Tadej Kanduc, Massimiliano Martinelli +2
We present weighted quadrature for hierarchical B-splines to address the fast formation of system matrices arising from adaptive isogeometric Galerkin methods with suitably graded…
A local Hermite interpolation scheme with PH quintic splines for 3D data streams
Carlotta Giannelli, Lorenzo Sacco, Alessandra Sestini
The construction of smooth spatial paths with Pythagorean-hodograph (PH) quintic spline biarcs is proposed. To facilitate real-time computations of PH quintic splines, an eff…
Mathematical foundations of adaptive isogeometric analysis
Annalisa Buffa, Gregor Gantner, Carlotta Giannelli +2
This paper reviews the state of the art and discusses recent developments in the field of adaptive isogeometric analysis, with special focus on the mathematical theory. This includ…