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

Rabczuk, T., Nguyen Thanh, N., Nguyen Xuan, H., Nguyen-Thoi, T. and Bordas, Stephane Pierre Alain ORCID: https://orcid.org/0000-0001-8634-7002 2010. Isogeometric finite element analysis using polynomial splines over hierarchical T-meshes. Presented at: IV European Conference on Computational Mechanics (ECCM 2010), Paris, France, 16-21 May 2010.

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Abstract

Isogeometric finite element analysis has become a powerful alternative to standard finite elements due to their flexibility in handling geometries. One major drawback of NURBS based isogeometric finite elements is their inability of local refinement. In this presentation, 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 also present effective adaptive refinement-strategies and several numerical examples demonstrate the applicability and benefits of the presented methodology.

Item Type:	Conference or Workshop Item (Paper)
Date Type:	Completion
Status:	Unpublished
Schools:	Engineering
Subjects:	T Technology > T Technology (General) T Technology > TA Engineering (General). Civil engineering (General)
Related URLs:	Organisation Organisation
Last Modified:	18 Oct 2022 14:14
URI:	https://orca.cardiff.ac.uk/id/eprint/16906

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