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 …

A fast direct boundary element method for 3D acoustic problems based on hierarchical matrices

R Li, Y Liu, W Ye - Engineering Analysis with Boundary Elements, 2023 - Elsevier
The boundary element method (BEM) for acoustic problems is a numerical method based on
solving the discretized boundary integral equation (BIE) corresponding to the Helmholtz …

[HTML][HTML] A novel fast direct solver for 3D elastic inclusion problems with the isogeometric boundary element method

FL Sun, YP Gong, CY Dong - Journal of Computational and Applied …, 2020 - Elsevier
We present a novel fast direct solver to simulate 3D large scale elastic inclusion problems.
The method combines the isogeometric analysis boundary element method (IGABEM) and …

[HTML][HTML] The meshfree analysis of elasticity problem utilizing radial basis reproducing kernel particle method

Z Liu, H Gao, G Wei, Z Wang - Results in Physics, 2020 - Elsevier
The computational accuracy of the traditional reproducing kernel particle method (RKPM) is
susceptible to different kernel functions. To eliminate the adverse effects of the different …

Acoustic topology optimization of porous material distribution based on an adjoint variable FMBEM sensitivity analysis

W Zhao, C Zheng, H Chen - Engineering Analysis with Boundary Elements, 2019 - Elsevier
We develop an acoustic topology optimization approach in this work for the surface design
of structures covered by porous materials. The fast multipole boundary element method …

Effective elastic properties of three-dimensional multiple crack problems with the isogeometric boundary element parallel fast direct solver

F Sun, C Dong - Engineering Analysis with Boundary Elements, 2023 - Elsevier
We propose an isogeometric boundary element (IGABEM) parallel fast direct solver based
on OpenMP to solve three-dimensional multiple crack problems. In this paper, the orderly …

Fast direct isogeometric boundary element method for 3D potential problems based on HODLR matrix

FL Sun, CY Dong, YH Wu, YP Gong - Applied Mathematics and …, 2019 - Elsevier
A novel fast direct solver based on isogeometric boundary element method (IGABEM) is
presented for solving 3D potential problems, which uses the hierarchical off-diagonal low …

A fast multi-frequency iterative acoustic boundary element method solver based on a preconditioned accelerated recycling strategy

D Panagiotopoulos, W Desmet… - Journal of Theoretical and …, 2023 - World Scientific
Common multi-frequency solution strategies for acoustic systems are either associated with
high computational costs or resort to model reduction strategies, which potentially induce …

An efficient numerical algorithm to solve steady state heat conduction problems with local uncertainty

X Guo, H Yang, Y He - Engineering Analysis with Boundary Elements, 2024 - Elsevier
A computational cost-effective algorithm is proposed to solve steady-state heat conduction
problems with uncertain thermal conductivity which appears locally at some part of …

A Numerical Method for Scattering from Multi-domain Structures Based on Near-Field Artificial Boundary

Y Tang, Q Zhou, X Lü, G Ji, L Tan - Journal of Vibration Engineering & …, 2024 - Springer
Purpose Acoustic multi-connected domains are common in floating platforms and
underwater vehicles. In order to improve the calculation efficiency of the traditional boundary …