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 …

Hybrid FEM–SBM solver for structural vibration induced underwater acoustic radiation in shallow marine environment

Z Fu, Q **, Y Li, H Huang, T Rabczuk - Computer Methods in Applied …, 2020 - Elsevier
This study focuses on the efficient computational model for predicting the structural vibration
induced underwater acoustic radiation in shallow marine environment. In the proposed …

Numerical simulation of anti-plane wave propagation in heterogeneous media

X Wei, C Rao, S Chen, W Luo - Applied Mathematics Letters, 2023 - Elsevier
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 …

Implementation of isogeometric boundary element method for 2-D steady heat transfer analysis

Z An, T Yu, TQ Bui, C Wang, NA Trinh - Advances in Engineering Software, 2018 - Elsevier
In this paper, the recently developed hybrid numerical method based on isogeometric
analysis (IGA) and boundary element method (BEM), named as IGABEM, is further extended …

A half-space singular boundary method for predicting ground-borne vibrations

X Wei, D Liu, W Luo, S Chen, L Sun - Applied Mathematical Modelling, 2022 - Elsevier
In this study, the singular boundary method (SBM) is extended to simulate the dynamic
response of the half-space saturated soils in the frequency domain. The SBM employs the …

A frequency domain formulation of the singular boundary method for dynamic analysis of thin elastic plate

L Sun, X Wei - Engineering Analysis with Boundary Elements, 2019 - Elsevier
This paper presents a frequency domain formulation of the singular boundary method (SBM)
for the analysis of thin elastic plates subjected to dynamic loads. In the SBM, the …

[HTML][HTML] A boundary-only treatment by singular boundary method for two-dimensional inhomogeneous problems

X Wei, L Sun, S Yin, B Chen - Applied Mathematical Modelling, 2018 - Elsevier
In this study, an effective singular boundary method (SBM) in conjunction with the recursive
multiple reciprocity method (MRM) is developed and validated for inhomogeneous …

A locally refined adaptive isogeometric analysis for steady-state heat conduction problems

T Yu, B Chen, S Natarajan, TQ Bui - Engineering Analysis with Boundary …, 2020 - Elsevier
This paper presents an isogeometric analysis with adaptivity using locally refined B-splines
(LR B-splines) for steady-state heat conduction simulations in solids. Within this framework …

Precorrected-FFT accelerated singular boundary method for high-frequency acoustic radiation and scattering

W Li, F Wang - Mathematics, 2022 - mdpi.com
This paper presents a precorrected-FFT (pFFT) accelerated singular boundary method
(SBM) for acoustic radiation and scattering in the high-frequency regime. The SBM is a …

A fast singular boundary method for the acoustic design sensitivity analysis of arbitrary two-and three-dimensional structures

L Lan, S Cheng, X Sun, W Li, C Yang, F Wang - Mathematics, 2022 - mdpi.com
This paper proposes a fast meshless scheme for acoustic sensitivity analysis by using the
Burton–Miller-type singular boundary method (BM-SBM) and recursive skeletonization …