The extended/generalized finite element method: An overview of the method and its applications
By Thomas-Peter Fries, Ted Belytschko. 2010
1,513 citations recorded by the source corpus.
Subfields: Computational Mechanics, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/ef9fd77050f9a235dbc480ac8c7c95b5e0d05f3e
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
- Gianmarco Manzini
- L. Beirão da Veiga
- Stéphane P.A. Bordas
- Alessandro Russo
- Natarajan Sukumar
- Xiaoying Zhuang
- Timon Rabczuk
- Franco Brezzi
In Mechanics of Materials
- Stéphane P.A. Bordas
- Gianmarco Manzini
- Timon Rabczuk
- Natarajan Sukumar
- L. Beirão da Veiga
- Xiaoying Zhuang
- Alessandro Russo
- Vinh Phu Nguyen
Citations in the corpus
- Stable Generalized Finite Element Method (SGFEM) (2011, methodology): “Only recently, it was clearly recognized that these two methods are same and were referred to as XFEM/GFEM ([23]).”
- Equivalent projectors for virtual element methods (2013, background): “Keywords: Virtual Elements, Mimetic Finite Differences 2000 MSC: 65N30, 65N12, 65G99, 76R99 Preprint submitted to Elsevier April 11, 2013”
- Level set topology optimization of structural problems with interface cohesion (2017, background): “For more information regarding different enrichment strategies, the reader is referred to [65].”
- A virtual element method with arbitrary regularity (2014, background): “…that generalize finite element methods to elements of general shape are found, for instance, in Belytschko et al. (1994), Benson et al. (2010), Cueto et al. (2003), Fries & Belytschko (2010), Mousavi & Sukumar (2011), Sukumar & Malsch (2006), Sukumar & Tabarraei (2004) and Wachspress (1975).”
- Local enrichment of the finite cell method for problems with material interfaces (2013, methodology): “There are various strategies for achieving this purpose, but here we focus on the extrinsic enrichment approach which extends the Ansatz with additional new degrees of freedom [41].”
- Conforming and nonconforming virtual element methods for elliptic problems (2015, neutral): “Unlike the polygonal finite element method (PFEM) [29] and other conforming FEM extensions based on the Generalised Finite Element [4] framework such as the CFE method [22] and the XFEM [20], the VEM handles meshes with general shaped elements in a manner that avoids the explicit evaluation of the sh”