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 …

A semi-analytical and boundary-type meshless method with adjoint variable formulation for acoustic design sensitivity analysis

S Cheng, F Wang, G Wu, C Zhang - Applied Mathematics Letters, 2022 - Elsevier
This paper proposes a novel semi-analytical method for the two-and three-dimensional
acoustic design sensitivity analysis by combining the Burton–Miller-type singular boundary …

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 …

A wideband fast multipole boundary element method for three dimensional acoustic shape sensitivity analysis based on direct differentiation method

C Zheng, T Matsumoto, T Takahashi, H Chen - Engineering Analysis with …, 2012 - Elsevier
This paper presents a wideband fast multipole boundary element approach for three
dimensional acoustic shape sensitivity analysis. The Burton–Miller method is adopted to …

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 …

Explicit evaluation of hypersingular boundary integral equations for acoustic sensitivity analysis based on direct differentiation method

C Zheng, T Matsumoto, T Takahashi, H Chen - Engineering analysis with …, 2011 - Elsevier
This paper presents a new set of boundary integral equations for three dimensional acoustic
shape sensitivity analysis based on the direct differentiation method. A linear combination of …

A wideband FMBEM for 2D acoustic design sensitivity analysis based on direct differentiation method

L Chen, C Zheng, H Chen - Computational Mechanics, 2013 - Springer
This paper presents a wideband fast multipole boundary element method (FMBEM) for two
dimensional acoustic design sensitivity analysis based on the direct differentiation method …

2.5 D singular boundary method for acoustic wave propagation

X Wei, W Luo - Applied Mathematics Letters, 2021 - Elsevier
This study proposes a two-and-a-half-dimensional (2.5 D) singular boundary method (SBM)
to solve three dimensional (3D) acoustic problems with a constant cross section excited by …

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 …

Eigenvalue analysis for acoustic problem in 3D by boundary element method with the block Sakurai–Sugiura method

H Gao, T Matsumoto, T Takahashi, H Isakari - Engineering Analysis with …, 2013 - Elsevier
This paper presents accurate numerical solutions for nonlinear eigenvalue analysis of three-
dimensional acoustic cavities by boundary element method (BEM). To solve the nonlinear …