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 …
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 …
processing. It has the desirable advantages of multi-resolution properties and various basis …
Recent advances in acoustic boundary element methods
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 …
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 …
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
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 …
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 …
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 …
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
This paper presents the adaptive cross approximation (ACA) algorithm to accelerate
boundary element method (BEM) for eddy current nondestructive evaluation (NDE) problem …
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 …
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 …
developed with the aim of evaluating damping forces. First kind integral equations …