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Zbl 1152.74055
Nguyen, Vinh Phu; Rabczuk, Timon; Bordas, Stéphane; Duflot, Marc
Meshless methods: a review and computer implementation aspects. (English)
[J] Math. Comput. Simul. 79, No. 3, 763-813 (2008). ISSN 0378-4754

Summary: The aim 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 (www.civil.gla.ac.uk/~bordas) 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 the 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.

MSC 2000:: *74S30 Other numerical methods
74-02 Research monographs (mechanics of deformable solids)
74-04 Machine computation, programs (mechanics of deformable solids)

Keywords: intrinsic enrichment; extrinsic discontinuities; point collocation methods

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