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Bounding the influence of domain parameterization and knot spacing on numerical stability in Isogeometric Analysis

  • Published:2014-01 Issue: Volume:268 Page:589-613
  • ISSN:0045-7825
  • Container-title:Computer Methods in Applied Mechanics and Engineering
  • language:en
  • Short-container-title:Computer Methods in Applied Mechanics and Engineering

Author:

Pilgerstorfer Elisabeth,Jüttler Bert

Publisher

Elsevier BV

Subject

Computer Science Applications,General Physics and Astronomy,Mechanical Engineering,Mechanics of Materials,Computational Mechanics

Reference37 articles.

1. Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement;Hughes;Computer Methods in Applied Mechanics and Engineering,2005

2. Isogeometric analysis: approximation, stability and error estimates for h-refined meshes;Bazilevs;Mathematical Models and Methods in Applied Sciences,2006

3. Some estimates for h-p-k-refinement in isogeometric analysis;Beirão da Veiga;Numerische Mathematik,2011

4. Anisotropic NURBS approximation in isogeometric analysis;Beirão da Veiga;Computer Methods in Applied Mechanics and Engineering,2012

5. Efficient quadrature for NURBS-based isogeometric analysis;Hughes;Computer Methods in Applied Mechanics and Engineering,2010

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