Singular boundary method: A review and computer implementation aspects

Z Fu, Q Xi, Y Gu, J Li, W Qu, L Sun, X Wei… - … Analysis with Boundary …, 2023 - Elsevier
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 …

An overview of the method of fundamental solutions—Solvability, uniqueness, convergence, and stability

AHD Cheng, Y Hong - Engineering Analysis with Boundary Elements, 2020 - Elsevier
In this paper we give an overview of the Method of Fundamental Solutions (MFS) as a
heuristic numerical method. It is truly meshless. Its concept and numerical implementation …

Burton–Miller-type singular boundary method for acoustic radiation and scattering

ZJ Fu, W Chen, Y Gu - Journal of Sound and Vibration, 2014 - Elsevier
This paper proposes the singular boundary method (SBM) in conjunction with Burton and
Miller׳ s formulation for acoustic radiation and scattering. The SBM is a strong-form …

[HTML][HTML] A modified singular boundary method for three-dimensional high frequency acoustic wave problems

J Li, W Chen - Applied Mathematical Modelling, 2018 - Elsevier
The main purpose of this article is to propose a modified singular boundary method using
the modified fundamental solution of Helmholtz equation for simulation of three-dimensional …

Explicit empirical formula evaluating original intensity factors of singular boundary method for potential and Helmholtz problems

J Li, W Chen, Z Fu, L Sun - Engineering Analysis with Boundary Elements, 2016 - Elsevier
This short communication proposes two new explicit empirical formulas to determine the
original intensity factors on Neumann and Dirichlet boundary in the singular boundary …

[HTML][HTML] A dual-level method of fundamental solutions for three-dimensional exterior high frequency acoustic problems

J Li, Q Qin, Z Fu - Applied Mathematical Modelling, 2018 - Elsevier
Physical essence of the fictitious boundary of the method of fundamental solutions has been
a mystery for a long time. In this study, we attempt to explain the reason why fictitious …

A modified dual-level fast multipole boundary element method based on the Burton–Miller formulation for large-scale three-dimensional sound field analysis

J Li, W Chen, Q Qin - Computer Methods in Applied Mechanics and …, 2018 - Elsevier
Large-scale sound field analysis is a difficult task for numerical simulations. In this study, a
modified dual-level fast multipole boundary element method is proposed for analyzing this …

[PDF][PDF] Singular boundary method: three regularization approaches and exterior wave applications

ZJ Fu, W Chen, JT Chen, WZ Qu - Computer Modeling in …, 2014 - cdn.techscience.cn
This study investigates the singular boundary method (SBM) with three regularization
approaches for solving 2D and 3D exterior wave problems. The singular boundary method …

A dual interpolation boundary face method for elasticity problems

J Zhang, W Lin, Y Dong - European Journal of Mechanics-A/Solids, 2019 - Elsevier
A dual interpolation boundary face method (DiBFM) is proposed to unify the conforming and
nonconforming elements in boundary element method (BEM) implementation. In the DiBFM …

A parallel time-domain wave simulator based on rectangular decomposition for distributed memory architectures

N Morales, R Mehra, D Manocha - Applied Acoustics, 2015 - Elsevier
We present a parallel time-domain simulator to solve the acoustic wave equation for large
acoustic spaces on a distributed memory architecture. Our formulation is based on the …