The boundary element method (BEM) in the context of acoustics or Helmholtz problems is
reviewed in this paper. The basis of the BEM is initially developed for Laplace's equation …

A strong-form boundary collocation method, the singular boundary method (SBM), is
developed in this paper for the wave propagation analysis at low and moderate …

This paper presents the singular boundary method for steady-state nonlinear heat
conduction problems. In the steady-state nonlinear heat conduction problem, the Kirchhoff …

In this paper, a novel numerical methodology to deal with longitudinally invariant soil–
structure interaction problems is proposed. The methodology uses the finite element method …

This short communication presents the Singular Boundary Method (SBM) to solve the
obliquely incident water wave passing through the submerged breakwater. The SBM is a …

A stable node-based smoothed finite element method (SNS-FEM) is presented that cures
the “overly-soft” property of the original node-based smoothed finite element method for the …

In this paper, a numerical methodology based on a two-and-a-half-dimensional (2.5 D)
singular boundary method (SBM) to deal with acoustic radiation and scattering problems in …

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 …

This paper presents a fast singular boundary method (SBM) for three-dimensional (3D)
Helmholtz equation. The SBM is a boundary-type meshless method which incorporates the …

The main purpose of this work is to present an impressive numerical scheme to solve two-
dimensional multi-term time fractional mixed diffusion-wave differential equations …