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Strong formulation finite element method based on differential quadrature: a survey
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 …
(SFEM) is presented. These approaches are distinguished from classical one, termed weak …
Meshfree and particle methods and their applications
Recent developments of meshfree and particle methods and their applications in applied
mechanics are surveyed. Three major methodologies have been reviewed. First, smoothed …
mechanics are surveyed. Three major methodologies have been reviewed. First, smoothed …
[LLIBRE][B] Meshfree particle methods
Meshfree Particle Methods is a comprehensive and systematic exposition of particle
methods, meshfree Galerkin and partitition of unity methods, molecular dynamics methods …
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 …
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 …
functions is presented in this paper, based on the general concept of the meshless local …
Meshfree methods: a comprehensive review of applications
The meshfree methods in computational mechanics have been actively proposed and
increasingly developed in order to overcome some drawbacks in the conventional numerical …
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 …
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 …
the collocation points which are used to construct the trial functions, a number of auxiliary …
An efficient meshless method for fracture analysis of cracks
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 …
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
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 …
many others can be described by the well-known convection–diffusion equation which is a …