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 …

With the rapid development of computer technology, numerical simulation has become the
third scientific research tool besides theoretical analysis and experimental research. As the …

This study focuses on the efficient computational model for predicting the structural vibration
induced underwater acoustic radiation in shallow marine environment. In the proposed …

This work proposes a meshless generalized finite difference method (GFDM) with
supplementary nodes for the solution of thin elastic plate bending under dynamic loading …

In this paper, a high-accuracy numerical scheme is developed for long-time dynamic
simulations of 2D and 3D wave propagation phenomena. In the derivation of the present …

We present a new localized boundary knot method (LBKM) for the solution of large-scale
partial differential equations based on the non-singular general solutions. The proposed …

This paper proposes a novel semi-analytical method for the two-and three-dimensional
acoustic design sensitivity analysis by combining the Burton–Miller-type singular boundary …

This study proposes a two-and-a-half-dimensional (2.5 D) singular boundary method (SBM)
to solve three dimensional (3D) acoustic problems with a constant cross section excited by …

Rapid calculation of large-scale acoustic scattering from complex targets is the basis of
many acoustic technologies. The key issue is to efficiently solve the dense and ill …

The transient heat conduction problems in layered materials are common encountered in
practical application, but bring great challenge to most numerical algorithms. In this study …