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 …

Comparison of the convolution quadrature method and enhanced inverse FFT with application in elastodynamic boundary element method

M Schanz, W Ye, J Xiao - Computational mechanics, 2016 - Springer
Transient problems can often be solved with transformation methods, where the inverse
transformation is usually performed numerically. Here, the discrete Fourier transform in …

Method of fundamental solutions without fictitious boundary for plane time harmonic linear elastic and viscoelastic wave problems

L Sun, W Chen, AHD Cheng - Computers & Structures, 2016 - Elsevier
This study makes the first attempt to apply a recently developed modified method of
fundamental solutions (MFS) without fictitious boundary, which is named as the singular …

A meshless singular boundary method for elastic wave propagation in 2D partially saturated poroelastic media

L Sun, X Wei, B Chen - Engineering Analysis with Boundary Elements, 2020 - Elsevier
This paper presents a boundary meshless method, singular boundary method (SBM), in
conjunction with the exponential window method (EWM) to simulate the dynamic response …

弹性动力学高阶核无关快速多极边界元法

荣俊杰, 校金友, 文立华 - 力学学报, 2014 - lxxb.cstam.org.cn
基于核无关的快速多极方法, 发展了一种弹性动力学问题的快速, 高精度边界元分析方法.
采用基于二次曲面单元的Nyström 离散, 将边界积分方程转化为求和形式, 可以方便地进行加速 …

Transient Dynamic Response Analysis of Two-Dimensional Saturated Soil with Singular Boundary Method

D Liu, X Wei, C Li, C Han, X Cheng, L Sun - Mathematics, 2022 - mdpi.com
In this paper, the singular boundary method (SBM) in conjunction with the exponential
window method (EWM) is firstly extended to simulate the transient dynamic response of two …

A kernel-independent fast multipole BEM for large-scale elastodynamic analysis

Y Cao, J Rong, L Wen, J Xiao - Engineering Computations, 2015 - emerald.com
Purpose–The purpose of this paper is to develop an easy-to-implement and accurate fast
boundary element method (BEM) for solving large-scale elastodynamic problems in …

一种处理弹性动力边界元法中奇异积分的方法.

钟玉东, 侯俊剑, 谢贵重, 何文斌… - Chinese Journal of …, 2023 - search.ebscohost.com
摘要椇利用边界元法求解瞬态弹性动力学问题时棳时域基本解函数的分段连续性和奇异性为该
问题的求解带来很大的困难暎为了解决时域基本解中的奇异性问题棳本文依据柯西主值的定义 …

A low frequency elastodynamic fast multipole boundary element method in three dimensions

DR Wilkes, AJ Duncan - Computational Mechanics, 2015 - Springer
This paper presents a fast multipole boundary element method (FMBEM) for the 3-D
elastodynamic boundary integral equation in the 'low frequency'regime. New compact …

An Iterative Technique for Rational Approximation of Laplace Domain Vector-Valued Functions

IP Markov, AN Petrov, AV Boev - Advanced Materials Modelling for …, 2022 - Springer
In this paper, iterative procedure for partial fraction approximation of vector functions in
Laplace domain is presented. First, the essentials of the original formulation of vector fitting …