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 …

Wave propagation problems treated with convolution quadrature and BEM

L Banjai, M Schanz - Fast boundary element methods in engineering and …, 2012 - Springer
Boundary element methods for steady state problems have reached a state of maturity in
both analysis and efficient implementation and have become an ubiquitous tool in …

Theory and implementation of H-matrix based iterative and direct solvers for Helmholtz and elastodynamic oscillatory kernels

S Chaillat, L Desiderio, P Ciarlet - Journal of Computational physics, 2017 - Elsevier
In this work, we study the accuracy and efficiency of hierarchical matrix (H-matrix) based fast
methods for solving dense linear systems arising from the discretization of the 3D …

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 …

Fast directional multilevel summation for oscillatory kernels based on Chebyshev interpolation

M Messner, M Schanz, E Darve - Journal of Computational Physics, 2012 - Elsevier
Many applications lead to large systems of linear equations with dense matrices. Direct
matrix-vector products become prohibitive, since the computational cost increases …

Modelling of acoustic and elastic wave propagation from underground structures using a 2.5 D BEM-FEM approach

A Romero, P Galvín, J António, J Domínguez… - … Analysis with Boundary …, 2017 - Elsevier
This paper presents a numerical method based on a two-and-a-half dimensional (2.5 D)
boundary element-finite element (BEM-FEM) coupled formulation to study noise and …

High-resolution brittle fracture simulation with boundary elements

D Hahn, C Wojtan - ACM Transactions on Graphics (TOG), 2015 - dl.acm.org
We present a method for simulating brittle fracture under the assumptions of quasi-static
linear elastic fracture mechanics (LEFM). Using the boundary element method (BEM) and …

Fast approximations for boundary element based brittle fracture simulation

D Hahn, C Wojtan - ACM Transactions on Graphics (TOG), 2016 - dl.acm.org
We present a boundary element based method for fast simulation of brittle fracture. By
introducing simplifying assumptions that allow us to quickly estimate stress intensities and …

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 …

[PDF][PDF] Simulating rigid body fracture with surface meshes.

Y Zhu, R Bridson, C Greif - ACM Trans. Graph., 2015 - scholar.archive.org
The indirect boundary integral formulation is inspired by the potential theory which is usually
applied to Laplace's equation (scalar or vector). Considering the similarity between Laplace …