Singular boundary method: A review and computer implementation aspects

Z Fu, Q **, 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 …

Localized collocation schemes and their applications

Z Fu, Z Tang, Q **, Q Liu, Y Gu, F Wang - Acta Mechanica Sinica, 2022 - Springer
This paper presents a summary of various localized collocation schemes and their
engineering applications. The basic concepts of localized collocation methods (LCMs) are …

[HTML][HTML] The boundary element method in acoustics: A survey

S Kirkup - Applied Sciences, 2019 - mdpi.com
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 …

Singular boundary method for wave propagation analysis in periodic structures

Z Fu, W Chen, P Wen, C Zhang - Journal of Sound and Vibration, 2018 - Elsevier
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 …

Meshless generalized finite difference method for water wave interactions with multiple-bottom-seated-cylinder-array structures

ZJ Fu, ZY **e, SY Ji, CC Tsai, AL Li - Ocean Engineering, 2020 - Elsevier
This paper presents the meshless generalized finite difference method (GFDM) in
conjunction with the truncated treatments of infinite domain for simulating water wave …

Singular boundary method for 2D and 3D acoustic design sensitivity analysis

S Cheng, F Wang, PW Li, W Qu - Computers & Mathematics with …, 2022 - Elsevier
In this paper, a novel Burton-Miller-type singular boundary method (BM-SBM) formulation is
proposed for the acoustic design sensitivity analysis, with the help of the direct differentiation …

Seamless integration of computer-aided geometric modeling and acoustic simulation: Isogeometric boundary element methods based on Catmull-Clark subdivision …

LL Chen, Y Zhang, H Lian, E Atroshchenko… - … in Engineering Software, 2020 - Elsevier
Isogeometric boundary element method is a computer simulation algorithm that can directly
utilize the data of a geometric model represented by its surface. Catmull-Clark subdivision …

The generalized finite difference method for long-time dynamic modeling of three-dimensional coupled thermoelasticity problems

Y Gu, W Qu, W Chen, L Song, C Zhang - Journal of Computational Physics, 2019 - Elsevier
In this study, a new framework for the efficient and accurate solutions of three-dimensional
(3D) dynamic coupled thermoelasticity problems is presented. In our computations, the …

On the BEM for acoustic wave problems

Y Liu - Engineering Analysis with Boundary Elements, 2019 - Elsevier
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 …

[PDF][PDF] Recent advances and emerging applications of the singular boundary method for large-scale and high-frequency computational acoustics

JP Li, ZJ Fu, Y Gu, QH Qin - Adv. Appl. Math. Mech, 2022 - researchgate.net
With the rapid development of computer technology, numerical simulation has become the
third scientific research tool besides theoretical analysis and experimental research. As the …