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

S Shen - Computer Modeling in Engineering & Sciences, 2002 - cdn.techscience.cn
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 …

Survey of meshless and generalized finite element methods: a unified approach

I Babuška, U Banerjee, JE Osborn - Acta Numerica, 2003 - cambridge.org
In the past few years meshless methods for numerically solving partial differential equations
have come into the focus of interest, especially in the engineering community. This class of …

On generalized moving least squares and diffuse derivatives

D Mirzaei, R Schaback… - IMA Journal of Numerical …, 2012 - ieeexplore.ieee.org
The moving least squares (MLS) method provides an approximation û of a function u based
solely on values u (xj) of u on scattered 'meshless' nodes x j. Derivatives of u are usually …

Moving least squares method and its improvement: A concise review

WY Tey, NA Che Sidik, Y Asako… - Journal of Applied and …, 2021 - jacm.scu.ac.ir
The concise review systematically summarises the state-of-the-art variants of Moving Least
Squares (MLS) method. MLS method is a mathematical tool which could render cogent …

Error estimates for the moving least-square approximation and the element-free Galerkin method in n-dimensional spaces

X Li - Applied Numerical Mathematics, 2016 - Elsevier
The moving least square (MLS) approximation is one of the most important methods to
construct approximation functions in meshless methods. For the error analysis of the MLS …

[HTML][HTML] On the stability of the moving least squares approximation and the element-free Galerkin method

X Li, S Li - Computers & Mathematics with Applications, 2016 - Elsevier
In this paper, the stability of the moving least squares (MLS) approximation and a stabilized
MLS approximation is analyzed theoretically and verified numerically. It is shown that the …

[HTML][HTML] The numerical solution of the non-linear integro-differential equations based on the meshless method

M Dehghan, R Salehi - Journal of Computational and Applied Mathematics, 2012 - Elsevier
This article investigates the numerical solution of the nonlinear integro-differential equations.
The numerical scheme developed in the current paper is based on the moving least square …

A meshless based method for solution of integral equations

D Mirzaei, M Dehghan - Applied Numerical Mathematics, 2010 - Elsevier
This article describes a numerical scheme based on the moving least squares (MLS)
method for solving integral equations in one-and two-dimensional spaces. For the MLS …

Un nouveau champ de recherche

M Mohammed* - Sociologie, 2014 - cairn.info
Alors qu'elle n'en est qu'à ses balbutiements en France, la sociologie de l'islamophobie se
développe rapidement, depuis environ une décennie, dans de nombreuses universités …

A computational method based on the moving least-squares approach for pricing double barrier options in a time-fractional Black–Scholes model

A Golbabai, O Nikan - Computational Economics, 2020 - Springer
The mathematical modeling in trade and finance issues is the key purpose in the
computation of the value and considering option during preferences in contract. This paper …