Meshfree Methods (2004)
Aim of the present chapter is to provide an in-depth presentation and survey of mesh-free particle methods. Several particle approximation are reviewed; the SPH method, corrected gradient methods and the Moving least squares (MLS) approximation. The discrete equations are derived from a collocation scheme or as Galerkin method. Special attention is paid to the treatment of essential boundary conditions. A brief review over radial basis functions is given because they play a significant role in mesh-free methods. Finally, different approaches for modelling discontinuities in mesh-free methods are described.
CitationRabczuk, T., Belytschko, T., Fernandez-Mendez, S., & Huerta A. Meshfree Methods. In Encyclopedia of Computational Mechanics. John Wiley & Sons, Mississauga, 2004.
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KeywordsElement-free Galerkin; Moving least squares; Meshless; Smooth particle hydrodynamics
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