Corpus ID: 237941129

Weighted quadrature for hierarchical B-splines

  title={Weighted quadrature for hierarchical B-splines},
  author={Carlotta Giannelli and Tadej Kanduc and Massimiliano Martinelli and Giancarlo Sangalli and Mattia Tani},
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 hierarchical meshes. By exploiting a local tensor-product structure, we extend the construction of weighted rules from the tensor-product to the hierarchical spline setting. The proposed algorithm has a computational cost proportional to the number of degrees of freedom and advantageous properties with increasing… Expand


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