On the equivalence between the cell-based smoothed finite element method and the virtual element method

Reference : On the equivalence between the cell-based smoothed finite element method and the virt...


	Document type :	E-prints/Working papers : Already available on another site
	Discipline(s) :	Engineering, computing & technology : Multidisciplinary, general & others
	Focus Areas :	Computational Sciences
	To cite this reference:	http://hdl.handle.net/10993/17316

Title :	On the equivalence between the cell-based smoothed finite element method and the virtual element method
Language :	English
Author, co-author :	Natarajan, Sundararajan []
	Bordas, Stéphane [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
	Ean Tat, Ooi []
Publication date :	2014
Number of pages :	32
Peer reviewed :	No
Keywords :	[en] smoothed finite element ; virtual element method ; boundary integration ; scaled boundary finite element method ; polygons, polyhedral ; numerical integration ; cell based smoothed finite element method
Abstract :	[en] We revisit the cell-based smoothed finite element method (SFEM) for quadrilateral elements and extend it to arbitrary polygons and polyhedrons in 2D and 3D, respectively. We highlight the similarity between the SFEM and the virtual element method (VEM). Based on the VEM, we propose a new stabilization approach to the SFEM when applied to arbitrary polygons and polyhedrons. The accuracy and the convergence properties of the SFEM are studied with a few benchmark problems in 2D and 3D linear elasticity. Later, the SFEMis combined with the scaled boundary finite element method to problems involving singularity within the framework of the linear elastic fracture mechanics in 2D.
Target :	Researchers ; Professionals ; Students ; General public ; Others
Permalink :	http://hdl.handle.net/10993/17316
source URL :	http://arxiv.org/pdf/1407.1909v1.pdf

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