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Meshless methods: A review and computer implementation aspects

Nguyen, V. P., Rabczuk, T., Bordas, Stephane Pierre Alain ORCID: and Duflot, M. 2008. Meshless methods: A review and computer implementation aspects. Mathematics and Computers in Simulation 79 (3) , pp. 763-813. 10.1016/j.matcom.2008.01.003

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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.

Item Type: Article
Status: Published
Schools: Engineering
Uncontrolled Keywords: Meshless methods; Intrinsic enrichment; Extrinsic discontinuities; Computer implementation; MATLAB
Publisher: Elsevier
ISSN: 0378-4754
Last Modified: 17 Oct 2022 10:25

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