[HTML][HTML] A domain-decomposition generalized finite difference method for stress analysis in three-dimensional composite materials

Y Wang, Y Gu, J Liu - Applied Mathematics Letters, 2020 - Elsevier
In this paper, a new framework for stress analysis of three-dimensional (3D) composite (multi-
layered) elastic materials is presented. In our computations, the composite material is firstly …

Singular boundary method for wave propagation analysis in periodic structures

Z Fu, W Chen, P Wen, C Zhang - Journal of Sound and Vibration, 2018 - Elsevier
A strong-form boundary collocation method, the singular boundary method (SBM), is
developed in this paper for the wave propagation analysis at low and moderate …

A boundary meshless method for dynamic coupled thermoelasticity problems

Z Chen, L Sun - Applied Mathematics Letters, 2022 - Elsevier
This work develops the boundary knot method (BKM) for two-dimensional (2D) coupled
thermoelasticity problems in the frequency domain. By taking the non-singular general …

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 …

A frequency domain formulation of the singular boundary method for dynamic analysis of thin elastic plate

L Sun, X Wei - Engineering Analysis with Boundary Elements, 2019 - Elsevier
This paper presents a frequency domain formulation of the singular boundary method (SBM)
for the analysis of thin elastic plates subjected to dynamic loads. In the SBM, the …

A fast multi-layer boundary element method for direct numerical simulation of sound propagation in shallow water environments

C Li, BK Campbell, Y Liu, DKP Yue - Journal of Computational Physics, 2019 - Elsevier
Abstract Direct three-dimensional (3D) numerical simulations of acoustic fields in range-
dependent shallow water environments remains a challenge due to environmental …

[HTML][HTML] A fast singular boundary method for 3D Helmholtz equation

W Li - Computers & Mathematics with Applications, 2019 - Elsevier
This paper presents a fast singular boundary method (SBM) for three-dimensional (3D)
Helmholtz equation. The SBM is a boundary-type meshless method which incorporates the …

[HTML][HTML] An interpolating element-free Galerkin scaled boundary method applied to structural dynamic analysis

S Chen, W Wang, X Zhao - Applied Mathematical Modelling, 2019 - Elsevier
An efficient semi-analytical method, namely the interpolating element-free Galerkin scaled
boundary method (IEFG-SBM) is developed for structural dynamic analysis in this paper …

An ACA-SBM for some 2D steady-state heat conduction problems

X Wei, B Chen, S Chen, S Yin - Engineering Analysis with Boundary …, 2016 - Elsevier
In this paper, an accelerated singular boundary method (SBM) incorporating adaptive cross
approximation (ACA) is developed for the steady-state heat conduction problems. The SBM …

Causality condition relevant functions-orientated analytical treatment on singularities in 3D TD-BEM

W Lei, X Qin, H Li, Y Fan - Applied Mathematics and Computation, 2022 - Elsevier
A direct analytical treatment on singularities in the 3D TD-BEM formulation is proposed,
where the wavefront singularity and the dual singularity are analytically expressed. In the …