Search results for: GAUSS–GREVILLE

• Efficient and robust quadratures for isogeometric analysis: Reduced Gauss and Gauss–Greville rules

  Publication

  • Z. Zou
  • T. Hughes
  • M. Scott
  • D. Miao
  • R. Sauer

  - COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING - Year 2022

  This work proposes two efficient quadrature rules, reduced Gauss quadrature and Gauss–Greville quadrature, for isogeometric analysis. The rules are constructed to exactly integrate one-dimensional B-spline basis functions of degree p, and continuity class C^{p−k}, where k is the highest order of derivatives appearing in the Galerkin formulation of the problem under consideration. This is the same idea we utilized in Zou et al....

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