A novel algorithm for shape parameter selection in radial basis functions collocation method

Many Radial Basis Functions (RBFs) contain a free shape parameter that plays an important role for the application of Meshless method to the analysis of multilayered composite and sandwich plates. In most papers the authors end up choosing this shape parameter by trial and error or some other ad hoc means. In this paper a novel algorithm for shape parameter selection, based on a convergence analysis, is presented. The effectiveness of this algorithm is assessed by static analyses of laminated composite and sandwich plates.

► The Kansa’s unsymmetric collocation method for the static analysis of plates is used.
► The shape parameter has been selected minimizing the rate of convergence.
► The novel algorithm ensures good results when the plate becomes thin.
► The novel algorithm ensures good results when an irregular grid is used.
► The present method represents an alternative way to select the shape parameter.