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

Nguyen Thanh, N., Nguyen Xuan, H., Bordas, Stephane Pierre Alain ORCID: and Rabczuk, T. 2010. Isogeometric finite element analysis using polynomial splines over hierarchical T-meshes. Presented at: World Congress in Computational Mechanics (WCCM2010), Sydney, Australia, 19–23 July 2010. Published in: Khalili, N., Valliappan, S., Li, Q. and Russell, A. eds. Proceedings: 9th World Congress on Computational Mechanics and 4th Asian Pacific Congress on Computational Mechanics. IOP Conference Series: Materials Science and Engineering (10) Institute of Physics, 10.1088/1757-899X/10/1/012238

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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.

Item Type: Conference or Workshop Item (Paper)
Date Type: Publication
Status: Published
Schools: Engineering
Additional Information: Article number: 012238
Publisher: Institute of Physics
Last Modified: 18 Oct 2022 14:14

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