Strong formulation finite element method based on differential quadrature: a survey

F Tornabene, N Fantuzzi… - Applied …, 2015 - asmedigitalcollection.asme.org
A survey of several methods under the heading of strong formulation finite element method
(SFEM) is presented. These approaches are distinguished from classical one, termed weak …

Meshfree and particle methods and their applications

S Li, WK Liu - Appl. Mech. Rev., 2002 - asmedigitalcollection.asme.org
Recent developments of meshfree and particle methods and their applications in applied
mechanics are surveyed. Three major methodologies have been reviewed. First, smoothed …

[LLIBRE][B] Meshfree particle methods

S Li, WK Liu - 2007 - books.google.com
Meshfree Particle Methods is a comprehensive and systematic exposition of particle
methods, meshfree Galerkin and partitition of unity methods, molecular dynamics methods …

[LLIBRE][B] The meshless method

SN Atluri, S Shen - 2002 - flair.monash.edu
Research in science and technology is progressing at lighting speed. Globalization of
matters of mind and intellect can dramatically reduce the time required to exploit emerging …

[PDF][PDF] The meshless local Petrov-Galerkin (MLPG) method: a simple & less-costly alternative to the finite element and boundary element methods

S Shen, SN Atluri - Computer Modeling in Engineering & Sciences, 2002 - Citeseer
A comparison study of the efficiency and accuracy of a variety of meshless trial and test
functions is presented in this paper, based on the general concept of the meshless local …

Meshfree methods: a comprehensive review of applications

S Garg, M Pant - International Journal of Computational Methods, 2018 - World Scientific
The meshfree methods in computational mechanics have been actively proposed and
increasingly developed in order to overcome some drawbacks in the conventional numerical …

Meshless methods based on collocation with radial basis functions

X Zhang, KZ Song, MW Lu, X Liu - Computational mechanics, 2000 - Springer
Meshless methods based on collocation with radial basis functions (RBFs) are investigated
in detail in this paper. Both globally supported and compactly supported radial basis …

Least‐squares collocation meshless method

X Zhang, XH Liu, KZ Song… - International Journal for …, 2001 - Wiley Online Library
A finite point method, least‐squares collocation meshless method, is proposed. Except for
the collocation points which are used to construct the trial functions, a number of auxiliary …

An efficient meshless method for fracture analysis of cracks

BN Rao, S Rahman - Computational mechanics, 2000 - Springer
This paper presents an efficient meshless method for analyzing linear-elastic cracked
structures subject to single-or mixed-mode loading conditions. The method involves an …

A meshless method for solving two-dimensional variable-order time fractional advection–diffusion equation

A Tayebi, Y Shekari, MH Heydari - Journal of computational physics, 2017 - Elsevier
Several physical phenomena such as transformation of pollutants, energy, particles and
many others can be described by the well-known convection–diffusion equation which is a …