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 …
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 …
Modified space‐time radial basis function collocation method for long‐time simulation of transient heat conduction in 3D anisotropic composite materials
In this paper, the standard and the localized space‐time radial basis function (RBF)
collocation methods are modified and combined with the time‐marching scheme and space …
collocation methods are modified and combined with the time‐marching scheme and space …
Numerical solutions of the coupled unsteady nonlinear convection-diffusion equations based on generalized finite difference method
In this paper, the meshless Generalized Finite Difference Method (GFDM) in conjunction
with the second-order explicit Runge-Kutta method (RK2 method) is presented to solve …
with the second-order explicit Runge-Kutta method (RK2 method) is presented to solve …
An efficient boundary collocation scheme for transient thermal analysis in large-size-ratio functionally graded materials under heat source load
This paper presents a boundary collocation scheme for transient thermal analysis in large-
size-ratio functionally graded materials (FGMs) with heat source load. In the proposed …
size-ratio functionally graded materials (FGMs) with heat source load. In the proposed …
A homogenization function method for inverse heat source problems in 3D functionally graded materials
A simple and effective method is proposed for solving inverse heat source problems in
functionally graded materials based on the homogenization function. Making use of given …
functionally graded materials based on the homogenization function. Making use of given …
Fast convolution quadrature for the wave equation in three dimensions
L Banjai, M Kachanovska - Journal of Computational Physics, 2014 - Elsevier
This work addresses the numerical solution of time-domain boundary integral equations
arising from acoustic and electromagnetic scattering in three dimensions. The …
arising from acoustic and electromagnetic scattering in three dimensions. The …
An accelerated symmetric time-domain boundary element formulation for elasticity
Wave propagation phenomena occur often in semi-infinite regions. It is well known that such
problems can be handled well with the boundary element method (BEM). However, it is also …
problems can be handled well with the boundary element method (BEM). However, it is also …
A novel combined space-time algorithm for transient heat conduction problems with heat sources in complex geometry
A space-time algorithm, integrated by the localized space-time method of fundamental
solutions (LSTMFS) and space-time Chebyshev collocation scheme (STCCS), is developed …
solutions (LSTMFS) and space-time Chebyshev collocation scheme (STCCS), is developed …
A space–time BIE method for nonhomogeneous exterior wave equation problems. The Dirichlet case
S Falletta, G Monegato, L Scuderi - IMA Journal of Numerical …, 2012 - academic.oup.com
To the memory of James N. Lyness In this paper we consider the (two-dimensional and
three-dimensional) exterior problem for the nonhomogeneous wave equation, with a …
three-dimensional) exterior problem for the nonhomogeneous wave equation, with a …