This paper presents an overview of the singular boundary method (SBM) and its various
engineering applications. The basic concepts of the singular boundary method are first …

Efficiency and accuracy are two major concerns in numerical solutions of the Poisson-
Boltzmann equation for applications in chemistry and biophysics. Recent developments in …

The paper introduces a novel method for simulating acoustic–shell interaction subject to
seabed reflection. The vibration of thin-shell structure is analyzed using the finite element …

We present a novel numerical method to simulate crack growth in 3D, directly from the
Computer-Aided Design (CAD) geometry of the component, without any mesh generation …

This work presents a new implementation of the boundary node method (BNM) for numerical
solution of Laplace's equation. By coupling the boundary integral equations and the moving …

The progress of the boundary element method (BEM) for solving acoustic wave problems is
reviewed in this paper. The BEM is in a unique position among all the numerical methods …

The high solution costs and non-uniqueness difficulties in the boundary element method
(BEM) based on the conventional boundary integral equation (CBIE) formulation are two …

Crack propagation processes in specially prepared concrete discs and rectangular
specimens containing a single cylindrical hole or multiple holes of varying diameters have …

To systematically quantify certain uncertainties within the vibro-acoustic coupling problems,
we propose a framework for sampling the acceleration and uncertainty quantification based …

Materials that are either manufactured or occur in nature and used both in industry and in
our daily lives (metals, rocks, wood, soil, suspensions, and biological tissue) are very …