Recent advances and emerging applications of the boundary element method

YJ Liu, S Mukherjee… - Applied …, 2011 - asmedigitalcollection.asme.org
Sponsored by the US National Science Foundation, a workshop on the boundary element
method (BEM) was held on the campus of the University of Akron during September 1–3 …

Wavelet-based numerical analysis: A review and classification

B Li, X Chen - Finite Elements in Analysis and Design, 2014 - Elsevier
Wavelet analysis is a new method called 'numerical microscope'in signal and image
processing. It has the desirable advantages of multi-resolution properties and various basis …

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 …

A multi-level fast multipole BEM for 3-D elastodynamics in the frequency domain

S Chaillat, M Bonnet, JF Semblat - Computer Methods in Applied …, 2008 - Elsevier
To reduce computational complexity and memory requirement for 3-D elastodynamics using
the boundary element method (BEM), a multi-level fast multipole BEM (FM-BEM) is …

A high-order 3D boundary integral equation solver for elliptic PDEs in smooth domains

L Ying, G Biros, D Zorin - Journal of Computational Physics, 2006 - Elsevier
We present a high-order boundary integral equation solver for 3D elliptic boundary value
problems on domains with smooth boundaries. We use Nyström's method for discretization …

Application of wavelet methods in computational physics

J Wang, X Liu, Y Zhou - Annalen der Physik, 2024 - Wiley Online Library
The quantitative study of many physical problems ultimately boils down to solving various
partial differential equations (PDEs). Wavelet analysis, known as the “mathematical …

Recent advances on the fast multipole accelerated boundary element method for 3D time-harmonic elastodynamics

S Chaillat, M Bonnet - Wave Motion, 2013 - Elsevier
This article is mainly devoted to a review on fast BEMs for elastodynamics, with particular
attention on time-harmonic fast multipole methods (FMMs). It also includes original results …

Adaptive cross approximation algorithm for accelerating BEM in eddy current nondestructive evaluation

Y Bao, Z Liu, J Song - Journal of Nondestructive Evaluation, 2018 - Springer
This paper presents the adaptive cross approximation (ACA) algorithm to accelerate
boundary element method (BEM) for eddy current nondestructive evaluation (NDE) problem …

Band structure calculations of three-dimensional solid-fluid coupling phononic crystals using dual reciprocity boundary element method and wavelet compression …

Q Wei, J Xiang, W Zhu, H Hu - Computer Physics Communications, 2024 - Elsevier
The algorithm for calculating the band structures of two-dimensional phononic crystals (PCs)
using the boundary element method (BEM) has been proposed for many years. However, it …

Multipole BEM for the evaluation of damping forces on MEMS

A Frangi, A Gioia - Computational Mechanics, 2005 - Springer
A procedure for the analysis of 3D Stokes flow around complex micro structures (MEMS) is
developed with the aim of evaluating damping forces. First kind integral equations …