Meshfree methods are becoming an increasingly popular alternative to mesh-based
methods of numerical simulation. The biggest stated advantage of meshfree methods is the …

This paper presents a review of recent progress made towards the applications of the
meshfree particle methods (MPMs) for solving coupled fluid-structure interaction (FSI) …

In this paper we present an algorithm that is able to generate locally regular node layouts
with spatially variable nodal density for interiors of arbitrary domains in two, three, and …

This paper deals with a numerical solution of an incompressible Navier-Stokes flow on non-
uniform domains. The numerical solution procedure comprises the Meshless Local Strong …

Purpose It is well known that the difficulties in constructing an appropriate mesh limit the
performance of the traditional finite element method in practical applications. Recently, the …

In this paper numerical solution of 3D convection–diffusion problems both with high
Reynolds (Re) numbers and variable coefficients are investigated via a meshless method …

A comparison of the performance of the global and the local radial basis function collocation
meshless methods for three dimensional parabolic partial differential equations is performed …

The purpose of the present paper is development of an efficient meshless solution of steady
incompressible Stokes flow problems with constant viscosity in two dimensions, with …

We present numerical computation of stresses under fretting fatigue conditions derived from
closed form expressions. The Navier-Cauchy equations, that govern the problem, are solved …

In this study, we employ Pascal polynomial basis in the two-dimensional Berger equation,
which is a fourth order partial differential equation with applications to thin elastic plates. The …