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 …
Wave propagation problems treated with convolution quadrature and BEM
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 …
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
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 …
methods for solving dense linear systems arising from the discretization of the 3D …
Runge–Kutta convolution quadrature for the boundary element method
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 …
domain or via Laplace or Fourier domain. Somewhere in between are the convolution …
Fast directional multilevel summation for oscillatory kernels based on Chebyshev interpolation
Many applications lead to large systems of linear equations with dense matrices. Direct
matrix-vector products become prohibitive, since the computational cost increases …
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
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 …
boundary element-finite element (BEM-FEM) coupled formulation to study noise and …
High-resolution brittle fracture simulation with boundary elements
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 …
linear elastic fracture mechanics (LEFM). Using the boundary element method (BEM) and …
Fast approximations for boundary element based brittle fracture simulation
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 …
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 …
attention on time-harmonic fast multipole methods (FMMs). It also includes original results …
[PDF][PDF] Simulating rigid body fracture with surface meshes.
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 …
applied to Laplace's equation (scalar or vector). Considering the similarity between Laplace …