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Meshfree methods

Known as: Meshfree method, Meshless method, Reproducing kernel particle method 
In the field of numerical analysis, meshfree methods are those that do not require connection between nodes of the simulation domain, i.e. a mesh… 
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Papers overview

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2014
2014
Although meshless methods, in particularly those with scalar radial basis functions (RBFs), have been applied effectively to… 
Highly Cited
2008
Highly Cited
2008
A highly accurate new solver is developed to deal with the Dirichlet problems for the 2D Laplace equation in the doubly connected… 
2008
2008
A meshless method based on the local Petrov-Galerkin approach is proposed, to solve boundary and initial value problems of… 
Highly Cited
2006
Highly Cited
2006
A meshless method is proposed in this paper for the solution of two-dimensional elliptic problems. The proposed method does not… 
Highly Cited
2003
Highly Cited
2003
A meshless numerical implementation is reported of the 2-D Fleck-Hutchinson phenomenological strain-gradient theory, which fits… 
2002
2002
Abstract This is the second in a series of two papers generated from a study on probabilistic meshless analysis of cracks. In… 
Highly Cited
2000
Highly Cited
2000
An emerging technology in the area of microsystems is micro-total analysis systems (/spl mu/TAS) for biological sample analysis… 
2000
2000
We describe an approach to construct approximation basis functions for meshless methods, which is based on the concept of a… 
Highly Cited
1997
Highly Cited
1997
Abstract The diffuse element method (DEM) pioneered␣by B. Nayroles, G. Touzot and P. Villon is a meshless method for solving…