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

The finite point method (FPM) is a notable truly meshless method based on the moving least
squares (MLS) approximation and the point collocation technique. In this paper, the error of …

This paper presents a fast and stabilized meshless method that combines variational multi-
scale element free Galerkin (VMEFG) method and proper orthogonal decomposition (POD) …

A graphic processing unit (GPU) implementation of a meshless method for solving
compressible flow problems is presented in this paper. Least-square fit is used to discretize …

This paper presents a GPU based compressible multiphase hydrocode for modelling violent
hydrodynamic impacts under harsh conditions such as slamming and underwater explosion …

This paper presents an effort to implement a recently proposed meshless dynamic cloud
method (Hong Wang et al., 2010) on modern high-performance graphic processing units …

An a-posteriori error estimate with application to inviscid compressible flow problems is
presented. The estimate is a surrogate measure of the discretization error, obtained from an …

A meshless finite point method (FPM) is developed in this paper for the numerical solution of
the nonlinear improved Boussinesq equation. A time discrete technique is used to …

The meshless global radial basis function (RBF) collocation method is widely used to model
physical phenomena in science and engineering. The method produces highly accurate …

Aiming at the nonlinear convection diffusion equation with the numerical oscillations, a
numerical stability algorithm is constructed. The basic principle of the finite point algorithm is …