Meshless methods: A review and computer implementation aspects

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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.
Original languageEnglish
Pages (from-to)763-813
JournalMathematics and Computers in Simulation
Volume79
Issue number3
Publication statusPublished - 1 Dec 2008

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