Reference : Meshless methods: A review and computer implementation aspects

	Document type :	Scientific journals : Article
	Discipline(s) :	Engineering, computing & technology : Multidisciplinary, general & others
	Focus Areas :	Computational Sciences
	To cite this reference:	http://hdl.handle.net/10993/13726

Title :	Meshless methods: A review and computer implementation aspects
Language :	English
Author, co-author :	Nguyen, V. P. [Ecole Nationale d'Ingénieur de Saint Etienne (ENISE), Laboratoire de Tribologie et Dynamique des Systèmes (LTDS), France]
	Rabczuk, T. [University of Canterbury, Department of Mechanical Engineering, 4800 Private Bag, Christchurch, New Zealand]
	Bordas, Stéphane [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
	Duflot, M. [CENAERO, Rue des Frères Wright 29, 6041 Gosselies, Belgium]
Publication date :	2008
Journal title :	Mathematics and Computers in Simulation
Volume :	79
Issue/season :	3
Pages :	763-813
Peer reviewed :	Yes (verified by ORBilu)
Audience :	International
ISSN :	0378-4754
Keywords :	[en] Computer implementation ; Extrinsic discontinuities ; Intrinsic enrichment ; MATLAB ; Meshless methods ; Boundary conditions ; Boundary value problems ; Codes (symbols) ; Theorem proving ; Computer implementations ; Essential boundary conditions ; MATLAB codes ; Point collocation methods ; Solid mechanics ; Source codes ; Strong discontinuities ; TEst cases ; Weak forms ; Web sites
Abstract :	[en] The aim of this manuscript is to give a practical overview of meshless methods (for solid mechanics) based on global weak forms through a simple and well-structured MATLAB code, to illustrate our discourse. The source code is available for download on our website and should help students and researchers get started with some of the basic meshless methods; it includes intrinsic and extrinsic enrichment, point collocation methods, several boundary condition enforcement schemes and corresponding test cases. Several one and two-dimensional examples in elastostatics are given including weak and strong discontinuities and testing different ways of enforcing essential boundary conditions. © 2008 IMACS.
Permalink :	http://hdl.handle.net/10993/13726
DOI :	10.1016/j.matcom.2008.01.003

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