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

This paper firstly documents the method of fundamental solutions for the two dimensional
high frequency acoustic-elastic interaction problem, and investigates its relationship to a …

This study examines different regularization approaches to investigate the solution stability
of the method of fundamental solutions (MFS). We compare three regularization methods in …

We perform a numerical optimization of the first ten nontrivial eigenvalues of the Neumann
Laplacian for planar Euclidean domains. The optimization procedure is done via a gradient …

Noise attenuation by sonic crystal noise barriers occurs mainly in specific frequency bands
(bandgaps), due to a mechanism called Bragg scattering, which is the result of destructive …

This paper studies the problem of spurious eigensolutions in the context of the singular
boundary method (SBM) formulated in the two-and-a-half-dimensional (2.5 D) domain and …

The method of auxiliary sources (MAS) is one of the numerical methods employed for the
determination of the cutoff wavenumbers (eigenvalues) of cylindrical waveguides. According …

Underground excavation in rocks can be accomplished in several steps. The cutting action
of mechanical tools such as disc cutters used in tunnel boring machines (TBM) is one of the …

In this paper, the regularized meshless method (RMM) is developed to solve two-
dimensional Laplace problem with multiply-connected domain. The solution is represented …

Exact dynamic stiffness (DS) formulations for free vibration of membranes and their
assemblies in polar coordinates are presented in this paper. First, the exact general …