Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids

N. Nguyen-Thanh, H. Nguyen-Xuan, S. P.A. Bordas, T. Rabczuk

Research output: Contribution to journalArticlepeer-review

230 Citations (Scopus)


Isogeometric analysis has become a powerful alternative to standard finite elements due to its flexibility in handling complex geometries. One of the major drawbacks of NURBS-based isogeometric finite elements is the inefficiency of local refinement. In this study, we present an alternative to NURBS-based isogeometric analysis that allows for local refinement. The idea is based on polynomial splines and exploits the flexibility of T-meshes for local refinement. The shape functions satisfy important properties such as non-negativity, local support and partition of unity. Several numerical examples are used to demonstrate the reliability of the present method.

Original languageEnglish
Pages (from-to)1892-1908
Number of pages17
JournalComputer Methods in Applied Mechanics and Engineering
Issue number21-22
Publication statusPublished - 2011 May 1

Bibliographical note

Funding Information:
The support of the “Academic Research Collaboration (ARC/DAAD)” is gratefully acknowledged. The second author would like to thank the support of the Vietnam National Foundation for Science and Technology Development (NAFOSTED). The authors acknowledge Professor Jiansong Deng from the University of Science and Technology of China for his suggestion and advice in the PHT approach.


  • Isogeometric analysis
  • PHT-spline
  • T-meshes
  • T-spline

ASJC Scopus subject areas

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


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