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 …

[PDF][PDF] Applications of the MLPG method in engineering & sciences: a review

J Sladek, P Stanak, ZD Han, V Sladek… - … Computer Modeling in …, 2013 - cdn.techscience.cn
A review is presented for analysis of problems in engineering & the sciences, with the use of
the meshless local Petrov-Galerkin (MLPG) method. The success of the meshless methods …

Meshless local Petrov–Galerkin (MLPG) method for the unsteady magnetohydrodynamic (MHD) flow through pipe with arbitrary wall conductivity

M Dehghan, D Mirzaei - Applied Numerical Mathematics, 2009 - Elsevier
In this article a meshless local Petrov–Galerkin (MLPG) method is given to obtain the
numerical solution of the coupled equations in velocity and magnetic field for unsteady …

The meshless local Petrov–Galerkin (MLPG) method for the generalized two-dimensional non-linear Schrödinger equation

M Dehghan, D Mirzaei - Engineering Analysis with Boundary Elements, 2008 - Elsevier
In this paper the meshless local Petrov–Galerkin (MLPG) method is presented for the
numerical solution of the two-dimensional non-linear Schrödinger equation. The method is …

[HTML][HTML] Meshless local Petrov–Galerkin (MLPG) approximation to the two dimensional sine-Gordon equation

D Mirzaei, M Dehghan - Journal of Computational and Applied …, 2010 - Elsevier
During the past few years, the idea of using meshless methods for numerical solution of
partial differential equations (PDEs) has received much attention throughout the scientific …

Analyzing three-dimensional viscoelasticity problems via the improved element-free Galerkin (IEFG) method

MJ Peng, RX Li, YM Cheng - Engineering Analysis with Boundary …, 2014 - Elsevier
Based on the improved moving least-square (IMLS) approximation, the improved element-
free Galerkin (IEFG) method for three-dimensional viscoelasticity problems is presented in …

Elastic waves in continuous and discontinuous geological media by boundary integral equation methods: A review

GD Manolis, PS Dineva - Soil Dynamics and Earthquake Engineering, 2015 - Elsevier
In this review paper, we concentrate on the use of boundary integral equation (BIE) based
methods for the numerical modeling of elastic wave motion in naturally occurring media. The …

MLPG method for two-dimensional diffusion equation with Neumann's and non-classical boundary conditions

S Abbasbandy, A Shirzadi - Applied numerical mathematics, 2011 - Elsevier
In this paper, a meshless local Petrov–Galerkin (MLPG) method is presented to treat
parabolic partial differential equations with Neumann's and non-classical boundary …

Complex variable element-free Galerkin method for viscoelasticity problems

YM Cheng, RX Li, MJ Peng - Chinese Physics B, 2012 - iopscience.iop.org
Based on the complex variable moving least-square (CVMLS) approximation, the complex
variable element-free Galerkin (CVEFG) method for two-dimensional viscoelasticity …

[HTML][HTML] Mixed FEM for flexoelectric effect analyses in a viscoelastic material

J Sladek, V Sladek, X Tian, Q Deng - International Journal of Solids and …, 2022 - Elsevier
The correspondence principle is applied to solve general 2-D electro-viscoelastic problems
with the flexoelectric effect. Two competitive characteristics of strengthening and softening of …