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Title:
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Meshfree methods
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Author:
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Huerta, Antonio; Belytscko, T; Fernández Méndez, Sonia; Rabczuk, T
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
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Abstract:
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The aim of this chapter is to provide an in-depth presentation and survey of meshfree particle methods. Several particle approximations 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 a Galerkin method. Special attention is paid to the treatment of essential boundary conditions. A brief review of radial basis functions is given because they play a signi¯cant role in
meshfree methods. Finally, di®erent approaches for modelling discontinuities in meshfree methods are described. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
-Computational methods in mechanics
-Galerkin methods
-coupling with finite elements
-incompressibility
-partitions of unity
-radial basis functions
-discontinuous
functions
-Meshfree
-meshless
-moving least squares
-smooth particle hydrodynamics
-element-free Galerkin
-reproducing kernel particle methods
-Galerkin, Mètodes de
-Enginyeria -- Mètodes numèrics |
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Rights:
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Document type:
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Article - Published version
Book Part |
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Published by:
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John Wiley & Sons
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