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 …

Elastic waves in continuous and discontinuous geological media by boundary integral equation methods: A review

GD Manolis, PS Dineva - Soil Dynamics and Earthquake Engineering, 2015 - Elsevier
In this review paper, we concentrate on the use of boundary integral equation (BIE) based
methods for the numerical modeling of elastic wave motion in naturally occurring media. The …

Highly accurate quadrature schemes for singular integrals in energetic BEM applied to elastodynamics

A Aimi, G Di Credico, M Diligenti… - Journal of Computational …, 2022 - Elsevier
We consider an exterior linear elastodynamics problem with vanishing initial conditions and
Dirichlet datum on the scatterer. We convert the Navier Equation, governing the wave …

Runge–Kutta convolution quadrature for the boundary element method

L Banjai, M Messner, M Schanz - Computer methods in applied mechanics …, 2012 - Elsevier
Time domain boundary element formulations can be established either directly in time
domain or via Laplace or Fourier domain. Somewhere in between are the convolution …

3D non-linear time domain FEM–BEM approach to soil–structure interaction problems

A Romero, P Galvín, J Domínguez - Engineering Analysis with Boundary …, 2013 - Elsevier
Dynamic soil–structure interaction is concerned with the study of structures supported on
flexible soils and subjected to dynamic actions. Methods combining the finite element …

Acoustic scattering in the time domain using an equivalent source method

S Lee, KS Brentner, PJ Morris - AIAA journal, 2010 - arc.aiaa.org
ACOUSTIC scattering is an important subject in aeroacoustics. Acoustic waves can be
reflected and diffracted by a scattering body in a manner that is frequency and position …

A non‐linear coupled finite element–boundary element model for the prediction of vibrations due to vibratory and impact pile driving

HR Masoumi, S François… - International Journal for …, 2009 - Wiley Online Library
This paper presents a non‐linear coupled finite element–boundary element approach for the
prediction of free field vibrations due to vibratory and impact pile driving. Both the non‐linear …

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 …

[HTML][HTML] Singularity cancellation method for time-domain boundary element formulation of elastodynamics: A direct approach

G Xie, Y Zhong, F Zhou, W Du, H Li, D Zhang - Applied Mathematical …, 2020 - Elsevier
In the implementation of time-domain boundary element method for elasto-dynamic
problems, there are two types of singularities: the wave front singularity arising when the …

Numerical behavior of time domain BEM for three-dimensional transient elastodynamic problems

M Marrero, J Domınguez - Engineering analysis with boundary elements, 2003 - Elsevier
The present paper deals with the time domain formulation of the boundary element method
for three-dimensional elastodynamic problems and its actual implementation for the solution …