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 journalArticle

184 Citations (Scopus)

Abstract

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
Volume200
Issue number21-22
DOIs
Publication statusPublished - 2011 May 1

Keywords

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

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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