Development and implementation of some BEM variants—A critical review

KH Yu, AH Kadarman, H Djojodihardjo - Engineering Analysis with …, 2010 - Elsevier
Due to rapid development of boundary element method (BEM), this article explores the
evolution of BEM over the past half century. We here summarize the overall development …

The analog equation method: A boundary-only integral equation method for nonlinear static and dynamic problems in general bodies

JT Katsikadelis - Theoretical and Applied Mechanics, 2002 - doiserbia.nb.rs
In this paper the Analog Equation Method (AEM) a boundary-only method is presented for
solving nonlinear static and dynamic problems in continuum mechanics. General bodies are …

[HTML][HTML] A meshless based numerical technique for traveling solitary wave solution of Boussinesq equation

M Dehghan, R Salehi - Applied Mathematical Modelling, 2012 - Elsevier
In this paper, we employ the boundary-only meshfree method to find out numerical solution
of the classical Boussinesq equation in one dimension. The proposed method in the current …

The solitary wave solution of the two-dimensional regularized long-wave equation in fluids and plasmas

M Dehghan, R Salehi - Computer Physics Communications, 2011 - Elsevier
This paper investigates the solitary wave solutions of the two-dimensional regularized long-
wave equation which is arising in the investigation of the Rossby waves in rotating flows and …

A method based on meshless approach for the numerical solution of the two‐space dimensional hyperbolic telegraph equation

M Dehghan, R Salehi - Mathematical Methods in the Applied …, 2012 - Wiley Online Library
In the current article, we investigate the RBF solution of second‐order two‐space
dimensional linear hyperbolic telegraph equation. For this purpose, we use a combination of …

[HTML][HTML] The BEM for numerical solution of partial fractional differential equations

JT Katsikadelis - Computers & Mathematics with Applications, 2011 - Elsevier
A numerical method is presented for the solution of partial fractional differential equations
(FDEs) arising in engineering applications and in general in mathematical physics. The …

[HTML][HTML] Multi-field coupled chaotic vibration for a micro resonant pressure sensor

X Fu, L Xu - Applied Mathematical Modelling, 2019 - Elsevier
A multi-field coupled dynamic model for a micro resonant pressure sensor is proposed in
this paper which considers molecular force, electric field force, elastic force, and air damping …

A BEM-based meshless solution to buckling and vibration problems of orthotropicplates

GC Tsiatas, AJ Yiotis - Engineering Analysis with Boundary Elements, 2013 - Elsevier
In this paper a BEM-based meshless solution is presented to buckling and vibration
problems of Kirchhoff orthotropic plates with arbitrary shape. The plate is subjected to …

A BEM-based domain meshless method for the analysis of Mindlin plates with general boundary conditions

B Chinnaboon, S Chucheepsakul… - Computer methods in …, 2011 - Elsevier
In this paper, a BEM-based domain meshless method is developed for the analysis of
moderately thick plates modeled by Mindlin's theory which permits the satisfaction of three …

A boundary-only meshless method for numerical solution of the Eikonal equation

M Dehghan, R Salehi - Computational Mechanics, 2011 - Springer
The radial basis function (RBF) collocation methods for the numerical solution of partial
differential equation have been popular in recent years because of their advantage. For …