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 isIsogeometric 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.…
| Document Type: | Conference Proceeding |
|---|---|
| Author: | Dr.-Ing. Nhon Nguyen-Thanh, Hung Nguyen-Xuan, Stéphane Pierre Alain BordasORCiDGND, Timon RabczukORCiDGND |
| DOI (Cite-Link): | https://doi.org/10.1088/1757-899X/10/1/012238Cite-Link |
| Language: | English |
| Date of Publication (online): | 2017/08/28 |
| Year of first Publication: | 2010 |
| Release Date: | 2017/08/28 |
| Publishing Institution: | Bauhaus-Universität Weimar |
| Institutes and partner institutions: | 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): |  Copyright All Rights Reserved - only metadata |