Journal
MATHEMATICS AND COMPUTERS IN SIMULATION
Volume 79, Issue 3, Pages 763-813Publisher
ELSEVIER
DOI: 10.1016/j.matcom.2008.01.003
Keywords
Meshless methods; Intrinsic enrichment; Extrinsic discontinuities; Computer implementation; MATLAB
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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. (C) 2008 IMACS. Published by Elsevier B.V. All rights reserved.
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