Optimal Analysis-Aware Parameterization of Computational Domain in Isogeometric Analysis

@inproceedings{Xu2010OptimalAP,
  title={Optimal Analysis-Aware Parameterization of Computational Domain in Isogeometric Analysis},
  author={Gang Xu and Bernard Mourrain and R{\'e}gis Duvigneau and Andr{\'e} Galligo},
  booktitle={GMP},
  year={2010}
}
In isogeometric analysis (IGA for short) framework, computational domain is exactly described using the same representation as that employed in the CAD process. For a CAD object, we can construct various computational domain with same shape but with different parameterization. One basic requirement is that the resulting parameterization should have no self-intersections. In this paper, a linear and easy-to-check sufficient condition for injectivity of planar B-spline parameterization is… CONTINUE READING
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NURBS-based isogeometric analysis for the computation of flows about rotating components

  • Y. Bazilevs, T.J.R. Hughes
  • Computational Mechanics 43, 143–150
  • 2008
Highly Influential
4 Excerpts

Isogeometric analysis for trimmed CAD surfaces

  • H. J. Kim, Y. D. Seo, S. K. Youn
  • Computer Methods in Applied Mechanics and…
  • 2009
2 Excerpts

n-Widths, supinfs, and optimality ratios for the k-version of the isogeometric finite element method

  • J. A. Evans, Y. Bazilevs, I. Babuka, T.J.R. Hughes
  • Computer Methods in Applied Mechanics and…
  • 2009
1 Excerpt

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