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 …

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 …

Modified space‐time radial basis function collocation method for long‐time simulation of transient heat conduction in 3D anisotropic composite materials

L Qiu, F Wang, Y Gu, QH Qin - International Journal for …, 2023 - Wiley Online Library
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 …

Numerical solutions of the coupled unsteady nonlinear convection-diffusion equations based on generalized finite difference method

ZJ Fu, ZC Tang, HT Zhao, PW Li, T Rabczuk - The European Physical …, 2019 - Springer
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 …

An efficient boundary collocation scheme for transient thermal analysis in large-size-ratio functionally graded materials under heat source load

Q Xi, ZJ Fu, T Rabczuk - Computational Mechanics, 2019 - Springer
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 …

A homogenization function method for inverse heat source problems in 3D functionally graded materials

L Qiu, J Lin, F Wang, QH Qin, CS Liu - Applied Mathematical Modelling, 2021 - Elsevier
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 …

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 …

An accelerated symmetric time-domain boundary element formulation for elasticity

M Messner, M Schanz - Engineering Analysis with Boundary Elements, 2010 - Elsevier
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 …

A novel combined space-time algorithm for transient heat conduction problems with heat sources in complex geometry

L Qiu, F Wang, J Lin, QH Qin, Q Zhao - Computers & Structures, 2021 - Elsevier
A space-time algorithm, integrated by the localized space-time method of fundamental
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 …