Quadrature blending for isogeometric analysis

Victor Calo, Quanling Deng, Vladimir Puzyrev

Research output: Contribution to journalConference articlepeer-review

9 Scopus citations

Abstract

We use blended quadrature rules to reduce the phase error of isogeometric analysis discretizations. To explain the observed behavior and quantify the approximation errors, we use the generalized Pythagorean eigenvalue error theorem to account for quadrature errors on the resulting weak forms [28]. The proposed blended techniques improve the spectral accuracy of isogeometric analysis on uniform and non-uniform meshes for different polynomial orders and continuity of the basis functions. The convergence rate of the optimally blended schemes is increased by two orders with respect to the case when standard quadratures are applied. Our technique can be applied to arbitrary high-order isogeometric elements.

Original languageEnglish (US)
Pages (from-to)798-807
Number of pages10
JournalProcedia Computer Science
Volume108
DOIs
StatePublished - Jan 1 2017
EventInternational Conference on Computational Science ICCS 2017 - Zurich, Switzerland
Duration: Jun 12 2017Jun 14 2017

Keywords

  • Finite elements
  • Isogeometric analysis
  • Numerical methods
  • Quadratures

ASJC Scopus subject areas

  • Computer Science(all)

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