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

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

doi:10.1088/1757-899X/10/1/012238

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 journal › Conference article › peer-review

4 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 language	English
Article number	012238
Journal	IOP Conference Series: Materials Science and Engineering
Volume	10
Issue number	1
DOIs	https://doi.org/10.1088/1757-899X/10/1/012238
Publication status	Published - 2014
Externally published	Yes
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

ASJC Scopus subject areas

Materials Science(all)
Engineering(all)

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10.1088/1757-899X/10/1/012238

Cite this

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title = "Isogeometric finite element analysis using polynomial splines over hierarchical T-meshes",

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.",

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note = "Publisher Copyright: {\textcopyright} 2010 IOP Publishing Ltd. Copyright: Copyright 2015 Elsevier B.V., All rights reserved.; 9th World Congress on Computational Mechanics, WCCM 2010, Held in Conjuction with the 4th Asian Pacific Congress on Computational Mechanics, APCOM 2010 ; Conference date: 19-07-2010 Through 23-07-2010",

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T1 - Isogeometric finite element analysis using polynomial splines over hierarchical T-meshes

AU - Nguyen-Thanh, Nhon

AU - Nguyen-Xuan, Hung

AU - Bordas, Stéphane P.A.

AU - Rabczuk, Timon

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

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JO - IOP Conference Series: Materials Science and Engineering

JF - IOP Conference Series: Materials Science and Engineering

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T2 - 9th World Congress on Computational Mechanics, WCCM 2010, Held in Conjuction with the 4th Asian Pacific Congress on Computational Mechanics, APCOM 2010

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ER -

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

Abstract

ASJC Scopus subject areas

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