Abstract
A higher-order accurate finite element method is proposed which uses automatically generated meshes based on implicit level-set data for the description of boundaries and interfaces in two and three dimensions. The method is an alternative for fictitious domain and extended finite element methods. The domain of interest is immersed in a background mesh composed by higher-order elements. The zero-level sets are identified and meshed followed by a decomposition of the cut background elements into conforming sub-elements. Adaptivity is a crucial ingredient of the method to guarantee the success of the mesh generation. It ensures the successful decomposition of cut elements and enables improved geometry descriptions and approximations. It is confirmed that higher-order accurate results with optimal convergence rates are achieved with the proposed conformal decomposition finite element method (CDFEM).
| Originalsprache | englisch |
|---|---|
| Seiten (von - bis) | 75-98 |
| Seitenumfang | 24 |
| Fachzeitschrift | Computer Methods in Applied Mechanics and Engineering |
| Jahrgang | 328 |
| DOIs | |
| Publikationsstatus | Veröffentlicht - 1 Jan 2018 |
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Schlagwörter
ASJC Scopus subject areas
- !!Computational Mechanics
- !!Mechanics of Materials
- !!Mechanical Engineering
- !!Physics and Astronomy(all)
- !!Computer Science Applications
Fields of Expertise
- Advanced Materials Science
Dies zitieren
Higher-order conformal decomposition FEM (CDFEM). / Fries, T. P.
in: Computer Methods in Applied Mechanics and Engineering, Jahrgang 328, 01.01.2018, S. 75-98.Publikation: Beitrag in einer Fachzeitschrift › Artikel › Forschung › Begutachtung
}
TY - JOUR
T1 - Higher-order conformal decomposition FEM (CDFEM)
AU - Fries, T. P.
PY - 2018/1/1
Y1 - 2018/1/1
N2 - A higher-order accurate finite element method is proposed which uses automatically generated meshes based on implicit level-set data for the description of boundaries and interfaces in two and three dimensions. The method is an alternative for fictitious domain and extended finite element methods. The domain of interest is immersed in a background mesh composed by higher-order elements. The zero-level sets are identified and meshed followed by a decomposition of the cut background elements into conforming sub-elements. Adaptivity is a crucial ingredient of the method to guarantee the success of the mesh generation. It ensures the successful decomposition of cut elements and enables improved geometry descriptions and approximations. It is confirmed that higher-order accurate results with optimal convergence rates are achieved with the proposed conformal decomposition finite element method (CDFEM).
AB - A higher-order accurate finite element method is proposed which uses automatically generated meshes based on implicit level-set data for the description of boundaries and interfaces in two and three dimensions. The method is an alternative for fictitious domain and extended finite element methods. The domain of interest is immersed in a background mesh composed by higher-order elements. The zero-level sets are identified and meshed followed by a decomposition of the cut background elements into conforming sub-elements. Adaptivity is a crucial ingredient of the method to guarantee the success of the mesh generation. It ensures the successful decomposition of cut elements and enables improved geometry descriptions and approximations. It is confirmed that higher-order accurate results with optimal convergence rates are achieved with the proposed conformal decomposition finite element method (CDFEM).
KW - Embedded domain method
KW - Fictitious domain method
KW - Higher-order FEM
KW - Interface capturing
KW - Level-set method
KW - XFEM
UR - http://www.scopus.com/inward/record.url?scp=85029706582&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2017.08.046
DO - 10.1016/j.cma.2017.08.046
M3 - Article
VL - 328
SP - 75
EP - 98
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
ER -