This paper presents an overview of the singular boundary method (SBM) and its various
engineering applications. The basic concepts of the singular boundary method are first …

In this paper we give an overview of the Method of Fundamental Solutions (MFS) as a
heuristic numerical method. It is truly meshless. Its concept and numerical implementation …

Function approximation and interpolation play an essential role in most fields of
computational sciences and engineering, such as data processing and numerical solution of …

The generalized finite difference method (GFDM) is a relatively new domain-type meshless
method for the numerical solution of certain boundary value problems. This paper …

This paper applies a semi-analytical boundary collocation method, the singular boundary
method (SBM), in conjunction with the dual reciprocity method (DRM) and Laplace …

The Lagrangian moving particle semi‐implicit (MPS) method has potential to simulate free‐
surface and multiphase flows. However, the chaotic distribution of particles can decrease …

This paper proposes the singular boundary method (SBM) in conjunction with Burton and
Miller׳ s formulation for acoustic radiation and scattering. The SBM is a strong-form …

With the rapid development of computer technology, numerical simulation has become the
third scientific research tool besides theoretical analysis and experimental research. As the …

This paper describes an application of the recently proposed modified method of
fundamental solutions (MMFS) to potential flow problems. The solution in two-dimensional …

This paper proposes a novel meshless boundary method called the singular boundary
method (SBM). This method is mathematically simple, easy-to-program, and truly meshless …