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: Chapter in Book/Report/Conference proceedingConference contribution

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
Title of host publicationIOP Conference Series: Materials Science and Engineering
PublisherInstitute of Physics Publishing
Volume10
Edition1
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

Other

Other9th World Congress on Computational Mechanics, WCCM 2010, Held in Conjuction with the 4th Asian Pacific Congress on Computational Mechanics, APCOM 2010
CountryAustralia
CitySydney
Period10/7/1910/7/23

ASJC Scopus subject areas

  • Engineering(all)
  • Materials Science(all)

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    Nguyen-Thanh, N., Nguyen-Xuan, H., Bordas, S. P. A., & Rabczuk, T. (2014). Isogeometric finite element analysis using polynomial splines over hierarchical T-meshes. In IOP Conference Series: Materials Science and Engineering (1 ed., Vol. 10). [012238] Institute of Physics Publishing. https://doi.org/10.1088/1757-899X/10/1/012238