Isogeometric finite element analysis using polynomial splines over hierarchical T-meshes

Nhon Nguyen-Thanh, Hung Nguyen-Xuan, Stéphane P.A. Bordas, Timon Rabczuk

Research output: Contribution to journalConference articlepeer-review

3 Citations (Scopus)

Abstract

Isogeometric finite element analysis has become a powerful alternative to standard finite elements due to their flexibility in handling complex geometries. One major drawback of NURBS based isogeometric finite elements is their less effectiveness of local refinement. In this study, we present an alternative to NURBS based isogeometric finite elements that allow 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. We will demonstrate the efficiency of the proposed method by two numerical examples.

Original languageEnglish
Article number012238
JournalIOP Conference Series: Materials Science and Engineering
Volume10
Issue number1
DOIs
Publication statusPublished - 2014
Externally publishedYes
Event9th World Congress on Computational Mechanics, WCCM 2010, Held in Conjuction with the 4th Asian Pacific Congress on Computational Mechanics, APCOM 2010 - Sydney, Australia
Duration: 2010 Jul 192010 Jul 23

ASJC Scopus subject areas

  • Materials Science(all)
  • Engineering(all)

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