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 …

Fundamental solutions in 3D elastodynamics for the BEM: A review

PS Dineva, GD Manolis, F Wuttke - Engineering Analysis with Boundary …, 2019 - Elsevier
In this work, we attempt to collect all available fundamental solutions in 3D elastodynamics
that would be suitable for use in Boundary Element Method (BEM) formulations. Given that …

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 new fast multi-domain BEM to model seismic wave propagation and amplification in 3-D geological structures

S Chaillat, M Bonnet, JF Semblat - Geophysical Journal …, 2009 - academic.oup.com
The analysis of seismic wave propagation and amplification in complex geological
structures raises the need for efficient and accurate numerical methods. The solution of the …

Modeling seismic wave propagation and amplification in 1D/2D/3D linear and nonlinear unbounded media

JF Semblat - International Journal of Geomechanics, 2011 - ascelibrary.org
To analyze seismic wave propagation in geological structures, it is possible to consider
various numerical approaches: the finite difference method, the spectral element method …

An enhancement of the fast time-domain boundary element method for the three-dimensional wave equation

T Takahashi, M Tanigawa, N Miyazawa - Computer Physics …, 2022 - Elsevier
Our objective is to stabilise and accelerate the time-domain boundary element method
(TDBEM) for the three-dimensional wave equation. To overcome the potential time …

A fast hierarchical dual boundary element method for three‐dimensional elastodynamic crack problems

I Benedetti, MH Aliabadi - International journal for numerical …, 2010 - Wiley Online Library
In this work a fast solver for large‐scale three‐dimensional elastodynamic crack problems is
presented, implemented, and tested. The dual boundary element method in the Laplace …

Convolution quadrature time-domain boundary element method for 2-D and 3-D elastodynamic analyses in general anisotropic elastic solids

A Furukawa, T Saitoh, S Hirose - Engineering Analysis with Boundary …, 2014 - Elsevier
This paper presents a convolution quadrature time-domain boundary element method for 2-
D and 3-D elastic wave propagation in general anisotropic solids. A boundary element …

A parallel fast multipole accelerated integral equation scheme for 3D Stokes equations

H Wang, T Lei, J Li, J Huang… - International journal for …, 2007 - Wiley Online Library
In this paper, we discuss a numerical scheme for the Stokes equations in three dimensions.
It uses an integral equation formulation and is accelerated by the new version of fast …

An interpolation-based fast-multipole accelerated boundary integral equation method for the three-dimensional wave equation

T Takahashi - Journal of Computational Physics, 2014 - Elsevier
A new fast multipole method (FMM) is proposed to accelerate the time-domain boundary
integral equation method (TDBIEM) for the three-dimensional wave equation. The proposed …