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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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Related topics

Related topics

29 relations
Boundary element methodComputational astrophysicsComputational fluid dynamicsDiffuse element method

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2014
2014
A Divergence-Free Meshless Method Based on the Vector Basis Function for Transient Electromagnetic Analysis
Although meshless methods, in particularly those with scalar radial basis functions (RBFs), have been applied effectively to… 
Highly Cited
2010
Highly Cited
2010
Towards the Development of an Unconditionally Stable Time-Domain Meshless Method
In this paper, an unconditionally stable mesheless method is proposed with the implementation of the leapfrog alternating… 
Highly Cited
2008
Highly Cited
2008
A highly accurate collocation Trefftz method for solving the Laplace equation in the doubly connected domains
A highly accurate new solver is developed to deal with the Dirichlet problems for the 2D Laplace equation in the doubly connected… 
2008
2008
Modeling of Intelligent Material Systems by the MLPG
A meshless method based on the local Petrov-Galerkin approach is proposed, to solve boundary and initial value problems of… 
2004
2004
Numerical solution of backward heat conduction problems by a high order lattice‐free finite difference method
Abstract We construct a high order finite difference method in which quadrature points do not need to have a lattice structure… 
Highly Cited
2003
Highly Cited
2003
Analysis of Materials with Strain-Gradient Effects: A Meshless Local Petrov-Galerkin(MLPG) Approach, with Nodal Displacements only
A meshless numerical implementation is reported of the 2-D Fleck-Hutchinson phenomenological strain-gradient theory, which fits… 
Highly Cited
2003
Highly Cited
2003
A local Heaviside weighted meshless method for two-dimensional solids using radial basis functions
Abstract A meshless method is developed for the stress analysis of two-dimensional solids, based on a local weighted residual… 
Highly Cited
2002
Highly Cited
2002
The partition of unity quadrature in meshless methods
In dealing with mesh‐free formulations a major problem is connected to the computation of the quadratures appearing in the… 
Highly Cited
2000
Highly Cited
2000
Mesh-free simulations of shear banding in large deformation
Highly Cited
2000
Highly Cited
2000
Meshless analysis of steady-state electro-osmotic transport
An emerging technology in the area of microsystems is micro-total analysis systems (/spl mu/TAS) for biological sample analysis… 
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