Selective and reduced numerical integrations for NURBS-based isogeometric analysis

@inproceedings{Adam2015SelectiveAR,
  title={Selective and reduced numerical integrations for NURBS-based isogeometric analysis},
  author={Constantin Adam and Thomas J. R. Hughes and Samir Bouabdallah and M. Bendhifi Zarroug and Habibou Maitournam},
  year={2015}
}
We propose a new approach to construct selective and reduced integration rules for isogeometric analysis based on NURBS elements. The notion of an approximation space that approximates the target space is introduced. We explore the use of various approximation spaces associated with optimal patch-wise numerical quadratures that exactly integrate the polynomials in approximation spaces with the minimum number of quadrature points. Patch rules exploit the higher continuity of spline basis… CONTINUE READING
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