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 …

In this review paper, we concentrate on the use of boundary integral equation (BIE) based
methods for the numerical modeling of elastic wave motion in naturally occurring media. The …

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 …

Based on the use of Green's function, we propose in this paper a new approach for solving
specific classes of inverse source identification problems. Effective numerical algorithms are …

In this paper, a combined approach of boundary element method and precise integration
method is presented for solving transient heat conduction problems with heat sources. The …

The dual reciprocity boundary element method (DRBEM) and the precise time-domain
expanding algorithm are combined for solving transient heat conduction problems with heat …

Based on the method of fundamental solutions and discrepancy principle for the choice of
location for source points, we extend in this paper the application of the computational …

Based on the discrepancy principle, we develop in this paper a new method of choosing the
location of source points to solve the backward heat conduction problem (BHCP) by using …

This paper presents new formulations of the radial integration boundary integral equation
(RIBIE) and the radial integration boundary integro-differential equation (RIBIDE) methods …

In this article, a combined approach of the radial integration boundary element method
(RIBEM) and the precise integration method is presented for solving transient heat …