[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 …

The radial integration method for evaluation of domain integrals with boundary-only discretization

XW Gao - Engineering Analysis with Boundary Elements, 2002 - Elsevier
In this paper, a simple and robust method, called the radial integration method, is presented
for transforming domain integrals into equivalent boundary integrals. Any two-or three …

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 …

Novel meshless method for solving the potential problems with arbitrary domain

DL Young, KH Chen, CW Lee - Journal of Computational Physics, 2005 - Elsevier
In this article, a non-singular and boundary-type meshless method in two dimensions is
developed to solve the potential problems. The solution is represented by a distribution of …

A boundary element method without internal cells for two-dimensional and three-dimensional elastoplastic problems

XW Gao - J. Appl. Mech., 2002 - asmedigitalcollection.asme.org
In this paper, a new and simple boundary element method without internal cells is presented
for the analysis of elastoplastic problems, based on an effective transformation technique …

[HTML][HTML] Singular boundary method for solving plane strain elastostatic problems

Y Gu, W Chen, CZ Zhang - International Journal of Solids and Structures, 2011 - Elsevier
This study documents the first attempt to apply the singular boundary method (SBM), a novel
boundary only collocation method, to two-dimensional (2D) elasticity problems. Unlike the …

A meshless BEM for isotropic heat conduction problems with heat generation and spatially varying conductivity

XW Gao - International journal for numerical methods in …, 2006 - Wiley Online Library
In this paper, a new and simple boundary‐domain integral equation is presented for heat
conduction problems with heat generation and non‐homogeneous thermal conductivity …

[HTML][HTML] A localized approach for the method of approximate particular solutions

G Yao, J Kolibal, CS Chen - Computers & Mathematics with Applications, 2011 - Elsevier
The method of approximate particular solutions (MAPS) has been recently developed to
solve various types of partial differential equations. In the MAPS, radial basis functions play …

Numerical comparisons of two meshless methods using radial basis functions

J Li, YC Hon, CS Chen - Engineering Analysis with Boundary Elements, 2002 - Elsevier
The recent advance in the development of various kinds of meshless methods for solving
partial differential equations has drawn attention of many researchers in science and …

Direct use of radial basis interpolation functions for modelling source terms with the boundary element method

CF Loeffler, ÁL Cruz, A Bulcão - Engineering Analysis with Boundary …, 2015 - Elsevier
In this paper a new technique is presented for transforming the domain integral related to the
source term that characterizes the Poisson Equation, within the scope of the boundary …