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.
|Journal||IOP Conference Series: Materials Science and Engineering|
|Publication status||Published - 2014|
|Event||9th 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 19 → 2010 Jul 23
Bibliographical notePublisher Copyright:
© 2010 IOP Publishing Ltd.
ASJC Scopus subject areas
- Materials Science(all)