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 …

This paper reviews the equivalent source method (ESM), an attractive alternative to the
standard boundary element method (BEM). The ESM has been developed under different …

The aim of this paper is to describe the development of the method of fundamental solutions
(MFS) and related methods over the last three decades. Several applications of MFS-type …

The development of the method of fundamental solutions (MFS) and related methods for the
numerical solution of scattering and radiation problems in fluids and solids is described and …

The application of the method of fundamental solutions to the Cauchy problem for steady-
state heat conduction in two-dimensional functionally graded materials (FGMs) is …

In this paper, the application of the method of fundamental solutions to the Cauchy problem
associated with two-dimensional Helmholtz-type equations is investigated. The resulting …

This paper describes the applications of the method of fundamental solutions (MFS) for 1-, 2-
and 3-D diffusion equations. The time-dependent fundamental solutions for diffusion …

In this paper, the application of the method of fundamental solutions to the Cauchy problem
in two-dimensional isotropic linear elasticity is investigated. The resulting system of linear …

This paper presents the use of the method of fundamental solutions (MFS) for recovering the
heat source in steady‐state heat conduction problems from boundary temperature and heat …

In this paper, we investigate the application of the method of fundamental solutions to two-
dimensional elasticity problems in isotropic and anisotropic single materials and bimaterials …