This paper describes a new topology optimization (TO) technique based on meshless method to evolve two-dimensional truss structures. The meshless method has been considered as a very attractive computational technique since it does not need any mesh generation process during the analysis. It has been gradually and widely used in many engineering disciplines and a particular weak point such as t...

This contribution presents a new analysis of properties of the interpolation using Radial Bases Functions (RBF) related to large data sets interpolation. The RBF application is convenient method for scattered d-dimensional interpolation. The RBF methods lead to a solution of linear system of equations and computational complexity of solution is nearly independent of a dimensionality. However, t...

Interpolation by radial basis functions and interpolation by polynomials are both popular methods for function reconstruction from discrete data given on spheres. Recently, there has been an increasing interest in employing these function families together in hybrid schemes for scattered data modeling and the solution of partial differential equations on spheres. For the theoretical analysis of...

Radial basis functions are well-known and successful tools for the interpolation of data in many dimensions. Several radial basis functions of compact support that give rise to nonsingular interpolation problems have been proposed, and in this paper we study a new, larger class of smooth radial functions of compact support which contains other compactly supported ones that were proposed earlier...

A numerical method based on Dual Reciprocity Boundary Element Method (DRBEM) has presented to interpolate twodimensional data with arbitrary pattern. This method is performed without specific boundary conditions. It claimed that interpolation function is true on the Poisson equation with unknown source function. The source function is estimated by radial basis functions expansion. Finally, nume...

In this paper, a high-order interpolation scheme, namely integrated radial-basis-function networks (IRBFNs), is introduced into the time-kernel boundary-integral-equation method (BIEM) to approximate the unknown functions in boundary and volume integrals for the solution of the Burgers equation. All relevant integrals are written in terms of nodal variable values. Solutions over the temporal do...