On the a-priori error analysis and convergence of meshless BEM

This paper deals with the a-priori error analysis and convergence of meshless boundary element methods. The paper investigates the convergence of the particular solution method (PSM) in conjunction with the boundary element method (BEM) as well as the method of fundamental solutions (MFS) and the radial basis functions (RBF)—type techniques. A-priori error estimates for meshless BEMs are also provided, and several illustrating numerical experiments are derived.