In this paper the Method of Fundamental Solutions (MFS) incorporating Erdogan's solutions
for Functionally Graded Materials (FGM) is presented for analysis of 2D fracture problems …

A localized meshless collocation method, namely the generalized finite difference method
(GFDM), is introduced to cope with the inverse Cauchy problem associated with the …

We develop a novel method of virtual sources to formulate boundary integral equations for
exterior wave propagation problems. However, by contrast to classical boundary integral …

In this paper, the scattering problem of an open cavity is considered. By use of the numerical
solution to the scattering problem of a slit, we obtain the numerical Green function for the …

The purpose of the presented paper is to develop further the Localized Method of
Fundamental Solutions (LMFS) for solving two-dimensional anisotropic elasticity problems …

The radial basis reproducing kernel particle method (RRKPM) has been constructed by
introducing the radial basis function (RBF) into the reproducing kernel particle method …

In this paper, a composite transformation method is developed to evaluate the singular and
nearly singular boundary integrals in the boundary element analysis for multilayer thin …

In simulation of the concrete pipe cooling process, numerical algorithms usually encounter
difficulties involving the large-scale ratio, adaptive point strategy, and large-scale …

We present a high-order boundary integral equation (BIE) method for the frequency-domain
acoustic scattering of a point source by a singly-periodic, infinite, corrugated boundary. We …

In this paper, new fundamental solutions for dynamic analysis of plane elastodynamics are
developed. The governing dynamic differential equations are rewritten by replacing the …