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 …

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 …

Is the Burton–Miller formulation really free of fictitious eigenfrequencies?

CJ Zheng, HB Chen, HF Gao, L Du - Engineering Analysis with Boundary …, 2015 - Elsevier
This paper is concerned with the fictitious eigenfrequency problem of the boundary integral
equation methods when solving exterior acoustic problems. A contour integral method is …

Combined shape and topology optimization for sound barrier by using the isogeometric boundary element method

F Jiang, W Zhao, L Chen, C Zheng, H Chen - Engineering Analysis with …, 2021 - Elsevier
This study presents a combined shape and topology optimization method for designing
sound barriers by using the isogeometric boundary element method. The objective function …

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 …

Fictitious eigenfrequencies in the BEM for interior acoustic problems

CJ Zheng, CX Bi, C Zhang, YB Zhang… - Engineering Analysis with …, 2019 - Elsevier
It is widely known that the boundary element method (BEM) without any special treatment
suffers from the fictitious eigenfrequency problem for the numerical solutions of exterior …

Structural–acoustic sensitivity analysis of radiated sound power using a finite element/discontinuous fast multipole boundary element scheme

L Chen, H Chen, C Zheng… - International Journal for …, 2016 - Wiley Online Library
The complete interaction between the structural domain and the acoustic domain needs to
be considered in many engineering problems, especially for the acoustic analysis …

An accurate and efficient acoustic eigensolver based on a fast multipole BEM and a contour integral method

CJ Zheng, HF Gao, L Du, HB Chen, C Zhang - Journal of Computational …, 2016 - Elsevier
An accurate numerical solver is developed in this paper for eigenproblems governed by the
Helmholtz equation and formulated through the boundary element method. A contour …

Design sensitivity analysis of modal frequencies of elastic structures submerged in an infinite fluid domain

CJ Zheng, MW Han, HY Chen… - International Journal for …, 2024 - Wiley Online Library
This paper presents a numerical approach for the design sensitivity analysis of modal
frequencies of elastic structures submerged in an unbounded heavy fluid domain. Because …