Meshless methods: A review and computer implementation aspects

Vinh Phu Nguyen, Timon Rabczuk, Stéphane Bordas and Marc Duflot

Mathematics and Computers in Simulation (MATCOM), 2008, vol. 79, issue 3, 763-813

Abstract: 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.

Keywords: Meshless methods; Intrinsic enrichment; Extrinsic discontinuities; Computer implementation; MATLAB (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (15)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:79:y:2008:i:3:p:763-813

DOI: 10.1016/j.matcom.2008.01.003

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