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

  • 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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Document Type:Conference Proceeding
Author:Dr.-Ing. Nhon Nguyen-Thanh, Hung Nguyen-Xuan, Stéphane Pierre Alain Bordas, Timon RabczukORCiDGND
DOI (Cite-Link):https://doi.org/10.1088/1757-899X/10/1/012238Cite-Link
Date of Publication (online):2017/08/28
Year of first Publication:2010
Release Date:2017/08/28
Publishing Institution:Bauhaus-Universität Weimar
Institutes:Fakultät Bauingenieurwesen / Institut für Strukturmechanik
GND Keyword:Angewandte Mathematik; Strukturmechanik
Dewey Decimal Classification:600 Technik, Medizin, angewandte Wissenschaften / 620 Ingenieurwissenschaften
500 Naturwissenschaften und Mathematik / 510 Mathematik / 519 Wahrscheinlichkeiten, angewandte Mathematik
BKL-Classification:31 Mathematik / 31.80 Angewandte Mathematik
50 Technik allgemein / 50.31 Technische Mechanik
Licence (German):License Logo Copyright All Rights Reserved - only metadata