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 …

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 …

Strong interlayer coupling and stable topological flat bands in twisted bilayer photonic moiré superlattices

CH Yi, HC Park, MJ Park - Light: Science & Applications, 2022 - nature.com
The moiré superlattice of misaligned atomic bilayers paves the way for designing a new
class of materials with wide tunability. In this work, we propose a photonic analog of the …

Subdivision surfaces—boundary element accelerated by fast multipole for the structural acoustic problem

L Chen, C Lu, W Zhao, H Chen… - Journal of Theoretical and …, 2020 - World Scientific
A novel boundary element method based on subdivision surfaces is applied to simulate
wave scattering problems governed by the Helmholtz equation. The Loop subdivision …

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 …

Coupled BE–FE based vibroacoustic modal analysis and frequency sweep using a generalized resolvent sampling method

T Liang, J Wang, J Xiao, L Wen - Computer Methods in Applied Mechanics …, 2019 - Elsevier
For several decades, the coupled boundary element and finite element (BE–FE) approach
has been recognized as a potential tool for modeling sound–structure interaction problems …

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 …

Free vibration analysis of elastic structures submerged in an infinite or semi-infinite fluid domain by means of a coupled FE–BE solver

CJ Zheng, CX Bi, C Zhang, HF Gao, HB Chen - Journal of Computational …, 2018 - Elsevier
The vibration behavior of thin elastic structures can be noticeably influenced by the
surrounding water, which represents a kind of heavy fluid. Since the feedback of the acoustic …

Coupled FE–BE method for eigenvalue analysis of elastic structures submerged in an infinite fluid domain

CJ Zheng, C Zhang, CX Bi, HF Gao… - … Journal for Numerical …, 2017 - Wiley Online Library
For thin elastic structures submerged in heavy fluid, eg, water, a strong interaction between
the structural domain and the fluid domain occurs and significantly alters the …

Resolvent sampling based Rayleigh–Ritz method for large-scale nonlinear eigenvalue problems

J Xiao, S Meng, C Zhang, C Zheng - Computer Methods in Applied …, 2016 - Elsevier
A new algorithm, denoted by RSRR, is presented for solving large-scale nonlinear
eigenvalue problems (NEPs) with a focus on improving the robustness and reliability of the …