Recent advances in acoustic boundary element methods

S Preuss, C Gurbuz, C Jelich, SK Baydoun… - Journal of Theoretical …, 2022 - World Scientific
The modern scope of boundary element methods (BEM) for acoustics is reviewed in this
paper. Over the last decades the BEM has gained popularity despite suffering from …

Structural shape optimization of three dimensional acoustic problems with isogeometric boundary element methods

LL Chen, H Lian, Z Liu, HB Chen… - Computer Methods in …, 2019 - Elsevier
The boundary element method (BEM) is a powerful tool in computational acoustics, because
the analysis is conducted only on structural surfaces, compared to the finite element method …

A rational approximation method for solving acoustic nonlinear eigenvalue problems

M El-Guide, A Miȩdlar, Y Saad - Engineering Analysis with Boundary …, 2020 - Elsevier
We present two approximation methods for computing eigenfrequencies and eigenmodes of
large-scale nonlinear eigenvalue problems resulting from boundary element method (BEM) …

A meshless collocation method for band structure simulation of nanoscale phononic crystals based on nonlocal elasticity theory

H Zheng, C Zhou, DJ Yan, YS Wang… - Journal of Computational …, 2020 - Elsevier
In this paper, the band structures of nanoscale phononic crystals based on the nonlocal
elasticity theory are calculated by using a meshfree local radial basis function collocation …

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 …

[HTML][HTML] Analysis of three-dimensional interior acoustic fields by using the localized method of fundamental solutions

W Qu, CM Fan, Y Gu, F Wang - Applied Mathematical Modelling, 2019 - Elsevier
The traditional method of fundamental solutions has a full interpolation matrix, and thus its
solution is computationally expensive, especially for large-scale problems with complicated …

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 …

Fast multipole accelerated boundary element methods for room acoustics

NA Gumerov, R Duraiswami - The Journal of the Acoustical Society of …, 2021 - pubs.aip.org
Direct and indirect boundary element methods, accelerated via the fast multipole method,
are applied to numerical simulation of room acoustics for rooms of volume∼ 150 m 3 and …

Full wavenumber high precision combined coupled double boundary element method for solving external acoustic problems

Y **ang, Z Shi - Journal of Sound and Vibration, 2023 - Elsevier
In this paper, a high-precision combined coupled double boundary element method (CCD-
BEM) with a full wavenumber unique solution is proposed by combining the boundary …

A general analytical PBEM for solving three-dimensional transient inhomogeneous heat conduction problems with spatially varying heat generation

L Zhou, W Feng, C Sun, H Peng, M Cui… - … Communications in Heat …, 2022 - Elsevier
In the present work, a polygonal boundary element method (PBEM) for solving transient
inhomogeneous heat conduction problems with spatially-varying heat generation is …