Modeling of heterogeneous materials and media is a problem of fundamental importance to
a wide class of phenomena and systems, ranging from condensed matter physics, soft …

In this paper we give an overview of the Method of Fundamental Solutions (MFS) as a
heuristic numerical method. It is truly meshless. Its concept and numerical implementation …

In the past two decades, meshfree methods have emerged into a new class of computational
methods with considerable success. In addition, a significant amount of progress has been …

This paper presents the formulation and implementation of a numerical procedure based on
material point method (MPM) to solve fully coupled dynamic problems that undergo large …

Meshless approximations based on moving least-squares, kernels, and partitions of unity
are examined. It is shown that the three methods are in most cases identical except for the …

The purpose of this review paper is to present the techniques, advances, problems and
likely future developments in numerical modelling for rock mechanics. Such modelling is …

The paper presents a fully meshless procedure fo solving partial differential equations. The
approach termed generically the 'finite point method'is based on a weighted least square …

Recent developments of meshfree and particle methods and their applications in applied
mechanics are surveyed. Three major methodologies have been reviewed. First, smoothed …

The application of the Natural Element Method (NEM) to boundary value problems in two‐
dimensional small displacement elastostatics is presented. The discrete model of the …

Particle Methods are those in which the problem is represented by a discrete number of
particles. Each particle moves accordingly with its own mass and the external/internal forces …