Journal ArticleDOI
On the imposition of essential boundary conditions in natural neighbour Galerkin methods
TLDR
In this article, both Sibson and non-Sibson interpolants ability to exactly reproduce essential boundary conditions is investigated and a new analytical condition ensuring linear precision along explicitly described (i.e. CAD) boundaries in both two and three dimensions is presented.Abstract:
In this paper issues related to the imposition of essential boundary conditions in Natural Neighbour Galerkin methods are addressed. Both Sibson and non-Sibson interpolants ability to exactly reproduce essential boundary conditions is investigated and a new analytical condition ensuring linear precision along explicitly described (i.e. CAD) boundaries in both two and three dimensions is presented. The paper is completed with some benchmark numerical examples. Copyright © 2003 John Wiley & Sons, Ltd.read more
Citations
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Journal ArticleDOI
Overview and recent advances in natural neighbour galerkin methods
TL;DR: A survey of the most relevant advances in natural neighbour Galerkin methods is presented in this article, where the Sibson and the Laplace (non-Sibsonian) interpolation schemes are used as trial and test functions.
Journal ArticleDOI
On the employ of meshless methods in biomechanics
TL;DR: In this paper, the authors analyse the convenience and possible advantages of using meshless methods in numerical simulations in biomechanics and discuss the use of one of them, the natural element method.
Journal ArticleDOI
A natural element updated Lagrangian strategy for free-surface fluid dynamics
TL;DR: A novel algorithm to simulate free-surface fluid dynamics phenomena at low Reynolds numbers in an updated Lagrangian framework based on the use of one of the most recent meshless methods, the so-called natural element method.
Journal ArticleDOI
Natural element meshless simulation of flows involving short fiber suspensions
TL;DR: The natural element method (NEM) has the capabilities of Lagrangian models to describe the flow front tracking as well as to treat the convection terms related to the fiber orientation equation without the mesh quality requirement characteristics of the standard finite elements method as discussed by the authors.
Journal ArticleDOI
Three-dimensional simulation of aluminium extrusion by the α-shape based natural element method
TL;DR: In this paper, an updated Lagrangian perspective is employed in the numerical simulation of aluminium extrusion, in which the material is modelled as a rigid-plastic material governed by a Sellars-Tegart-type law.
References
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Meshless methods: An overview and recent developments
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Biphasic Creep and Stress-Relaxation of Articular-Cartilage in Compression - Theory and Experiments
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Three-dimensional alpha shapes
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Proceedings ArticleDOI
A new Voronoi-based surface reconstruction algorithm
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