Meshfree Methods

dc.contributor.authorHuerta, A.
dc.contributor.authorBelytschko, T.
dc.contributor.authorFernandez-Mendez, S.
dc.contributor.authorRabczuk, T.
dc.date.accessioned2007-08-14T01:27:59Z
dc.date.available2007-08-14T01:27:59Z
dc.date.issued2004en
dc.description.abstractAim 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.en
dc.identifier.citationRabczuk, T., Belytschko, T., Fernandez-Mendez, S., & Huerta A. Meshfree Methods. In Encyclopedia of Computational Mechanics. John Wiley & Sons, Mississauga, 2004.en
dc.identifier.isbn978-0-470-84699-5
dc.identifier.urihttp://hdl.handle.net/10092/354
dc.publisherUniversity of Canterbury. Mechanical Engineering.en
dc.rights.urihttps://hdl.handle.net/10092/17651en
dc.subjectElement-free Galerkinen
dc.subjectMoving least squaresen
dc.subjectMeshlessen
dc.subjectSmooth particle hydrodynamicsen
dc.subject.marsdenFields of Research::290000 Engineering and Technology::290500 Mechanical and Industrial Engineering::290501 Mechanical engineeringen
dc.titleMeshfree Methodsen
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