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The meshless finite element method

Authors: Idelsohn, Sergio Rodolfo; Oñate, Eugenio; Calvo, Nestor Alberto; del Pin, Facundo;

The meshless finite element method

Abstract

AbstractA meshless method is presented which has the advantages of the good meshless methods concerning the ease of introduction of node connectivity in a bounded time of order n, and the condition that the shape functions depend only on the node positions. Furthermore, the method proposed also shares several of the advantages of the finite element method such as: (a) the simplicity of the shape functions in a large part of the domain; (b) C0 continuity between elements, which allows the treatment of material discontinuities, and (c) ease of introduction of the boundary conditions. Copyright © 2003 John Wiley & Sons, Ltd.

Keywords

meshless methods, natural neighbour coordinates, Engineering, Civil, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, finite element method, Delaunay tessellation, Natural Neighbour Co-Ordinates, Engineering, Multidisciplinary, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Poisson equation, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, https://purl.org/becyt/ford/2.7, Engineering, Ocean, https://purl.org/becyt/ford/2, Engineering, Aerospace, Engineering, Biomedical, numerical examples, Computer Science, Software Engineering, Engineering, Marine, Engineering, Manufacturing, Engineering, Mechanical, non-Sibsonian interpolation, Finite Element Method, Engineering, Industrial, Non-Sibsonian Interpolation, Meshless Methods

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
203
Top 1%
Top 1%
Top 10%
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