Meshless Galerkin method using radial basis functions based on domain decomposition

In this present paper, we will give an overview about the combination of RBF meshless method with domain decomposition, especially Galerkin method. Based on the analysis for this method before, we will consider the combination of projection domain decomposition method with radial basis function. Both of Galerkin approximation and collocation method are discussed. Some examples are given to show the efficiency of this method.