• Advantages of the boundary element method and meshless approaches are inherited in hybrid MDDM to deal with crack problems. Cracked Reissner's plate non homogenous media is investigated by first time. High accurate/convergent solutions using Chebyshev polynomials can be obtained . Growing applications non-homogenous engineering structures require application powerful computational tools. A no...

In order to assess the performance of some meshless methods based on Radial Basis Function (RBF) Collocation, it is presented a comprehensive comparison between global and multi-domain formulations for solving convection-diffusion equations. Global formulations included are the symmetric or Fasshauer’s method and the overlapping two-domain decomposition method (the classical additive Schwarz te...

A particular meshless method, named meshless local Petrov–Galerkin is investigated. To treat the essential boundary condition problem, an alternative approach is proposed. The basic idea is to merge the best features of two different methods of shape function generation: the moving least squares (MLS) and the radial basis functions with polynomial terms (RBFp). Whereas the MLS has lower computa...

A Meshless Radial Basis Function Method for Fluid Flow with Heat Transfer K Nagamani Devi1, D.W. Pepper2 Summary Over the past few years, efforts have been made to solve fluid flow and heat transfer problems using radial basis functions. This approach is meshless, easy to understand, and simple to implement. Preliminary results indicate accuracies on the order of finely meshed conventional tech...

By coupling the flexibility of Thin-Plate Splines interpolation with Green’s integral formula, we obtain a meshless cubature method from scattered samples of small/moderate size, on convex as well as nonconvex and even multiply connected polygonal domains. 2000 AMS subject classification: 65D05, 65D32.

The local radial basis function (RBF) interpolation method enables very large-scale data sets to be handled efficiently, overcoming the drawbacks of global interpolation which produces highly ill-conditioned linear systems. Whereas there have been intensive studies on the accuracy of global RBF interpolation, the error analysis of local RBF interpolation is much less investigated. In this regar...

Abstract. We construct a new adaptive algorithm for radial basis functions (RBFs) method applied to interpolation, boundary-value, and initialboundary-value problems with localized features. Nodes can be added and removed based on residuals evaluated at a finer point set. We also adapt the shape parameters of RBFs based on the node spacings to prevent the growth of the conditioning of the inter...