[HTML][HTML] Analysis of three-dimensional anisotropic heat conduction problems on thin domains using an advanced boundary element method

Y Gu, X He, W Chen, C Zhang - Computers & Mathematics with …, 2018 - Elsevier
In this paper, an advanced boundary element method (BEM) is developed for solving three-
dimensional (3D) anisotropic heat conduction problems in thin-walled structures. The …

Physics-informed neural networks for analysis of 2D thin-walled structures

Y Gu, C Zhang, MV Golub - Engineering Analysis with Boundary Elements, 2022 - Elsevier
Thin-walled structural problems have been a longstanding computational challenge. The
research bottleneck in applying the standard numerical methods for such problems arises …

[HTML][HTML] The boundary elements method for magneto-hydrodynamic (MHD) channel flows at high Hartmann numbers

H Hosseinzadeh, M Dehghan, D Mirzaei - Applied Mathematical Modelling, 2013 - Elsevier
In this article the constant and the continuous linear boundary elements methods (BEMs) are
given to obtain the numerical solution of the coupled equations in velocity and induced …

[HTML][HTML] Fracture mechanics analysis of two-dimensional cracked thin structures (from micro-to nano-scales) by an efficient boundary element analysis

Y Gu, J Lei - Results in Applied Mathematics, 2021 - Elsevier
In this paper, the boundary element method (BEM) based on the elasticity theory is
developed for fracture analysis of cracked thin structures with the relative thickness-to-length …

Thermal analysis for plate structures using a transformation BEM based on complex poles

Y Zhong, G Xie, H Geng, J Hou, D Zhao… - Computers & Mathematics …, 2024 - Elsevier
In this paper, according to the element discretization characteristic of the geometric model, a
complex function theory based transformation boundary element method is proposed to …

[HTML][HTML] A general algorithm for the numerical evaluation of nearly singular integrals on 3D boundary element

X Qin, J Zhang, G Xie, F Zhou, G Li - Journal of computational and applied …, 2011 - Elsevier
A general numerical method is proposed to compute nearly singular integrals arising in the
boundary integral equations (BIEs). The method provides a new implementation of the …

A systematic derived sinh based method for singular and nearly singular boundary integrals

G Xie, K Li, Y Zhong, H Li, B Hao, W Du, C Sun… - … Analysis with Boundary …, 2021 - Elsevier
When using boundary element analysis for thin walled structures, to ensure the
computational accuracy, special considerations on the singular and nearly singular integrals …

双材料界面裂纹复应力强度因子的正则化边界元法

谷岩, 张耀明 - 力学学报, 2021 - lxxb.cstam.org.cn
双材料界面裂纹渐近位移和应力场表现出剧烈的振荡特性, 许多用于表征经典平方根(r^ 1/2)
和负平方根(r^-1/2) 渐近物理场的传统数值方法失效, 给界面裂纹复应力强度因子(K_1+ iK_2) …

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 …

Multi-patch nonsingular isogeometric boundary element analysis in 3D

YJ Wang, DJ Benson - Computer Methods in Applied Mechanics and …, 2015 - Elsevier
A multi-patch nonsingular isogeometric boundary element method (IGABEM) for 3D
problems is presented that provides accurate solutions for multi-patch IGABEM. In order to …