This paper presents a parallel implementation for the Optimal Transportation Meshfree (OTM) method on large CPU clusters. Communications are handled with Message Passing Interface (MPI). The Recursive Coordinate Bisection (RCB) algorithm is utilized domain decomposition and implementing dynamic load-balancing strategy. work involves three new concepts to reduce computational efforts: Dynamic ha...

The regularized meshless method is a novel boundary-type meshless method but by now has largely been confined to homogeneous problems. In this paper, we apply the regularized meshless method to the nonhomogeneous problems in conjunction with the dual reciprocity technique in the evaluation of the particular solution. Numerical experiments of three benchmark nonhomogeneous problems demonstrate t...

A new hybrid approach for deformable models is presented here and carried out in a virtual reality environment, achieving real time performance with haptic interactions. Our implementation consists in using two approaches for the deformable model. The deformation is modelled using simultaneously a Finite Element Method and a Mesh Free Method. With this Mesh Free method, particles are used to si...

In this work, we develop a meshfree method based on fundamental solutions basis functions for a transmission problem in linear elasticity. The problem here addressed, consists in computing the displacement field of an elastic object, which has piecewise constant Lamé coefficients, from a given displacement field on the boundary. The Lamé coefficients are assumed to be constant in non overlaping...