The most common choice for the numerical solution of integral equations is the Method of
Moments (MoM). However, during its implementation, and in particular, when filling the …

This work deals with the reconstruction of point sources in the modified Helmholtz equation
in two and three dimensions. This problem has critical applications in engineering and …

Conformal mapping technique is important in theoretical analysis and numerical
computation for the fields of stress and displacement. In general, a unlined tunnel with …

Prior to this study, an empirical formula has been proposed to evaluate origin intensity
factors on the Dirichlet boundary. In this work, a simple empirical formula for obtaining origin …

We apply the local method of fundamental solutions (LMFS) to boundary value problems
(BVPs) for the Laplace and homogeneous biharmonic equations in annuli. By appropriately …

The differences between the chronological age, resulting from the date of birth, and the bone
age may indicate an endocrine or growth disorders. The wrist bones, also called the carpal …

There are six elastic constants for an anisotropic body in plane strain/stress conditions. In
the inverse problem of this study, it is assumed that the elastic constants of an anisotropic …

The 2D canonical case of a semi-circular canyon is addressed via two types of boundary-
integral equations (BIE) methods which are shown, via Galerkin procedures, to lead to …

Consider the method of fundamental solutions (MFS) for 2D Laplace's equation in a
bounded simply connected domain S S. In the standard MFS, the source nodes are located …

In this study we propose a meshfree scheme for the numerical solution of boundary value
problems (BVP) for the nonhomogeneous Cauchy-Navier equations of elastodynamics. The …