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 …

In the earlier paper, it is known that the solution accuracy usually can not be monotonically
increased as the temporal discretization interval decreases when the standard finite element …

The traditional finite element method (FEM) could only provide acceptable numerical
solutions for the Helmholtz equation in the relatively small wave number range due to …

This paper formulates a semi-analytical boundary meshless method, the singular boundary
method (SBM), to simulate the anti-plane wave motion in the heterogeneous media. Two …

The underwater acoustic wave propagation problem is an important issue in ocean
engineering field. The classical finite element approach with edge-based smoothed gradient …

This work presents a novel simulation approach to couple the meshfree radial point
interpolation method (RPIM) with the implicit direct time integration method for the transient …

In this paper, a meshless collocation method is introduced for two-dimensional (2D) and
three-dimensional (3D) transient elastodynamic problems by applying the generalized finite …

This paper presents a novel semi-analytical meshless method to optimize the thickness of
porous material distributed on sound barriers, by employing the Burton–Miller-type singular …

In this work, the novel quadrilateral overlapping element incorporated with the harmonic
trigonometric functions is presented to reduce the efforts in mesh division for modal analysis …

In this study, a singular boundary method (SBM) formulation is developed for the transient
coupled dynamic thermoelastic problems. Before applying the SBM, a method based on …