[PDF][PDF] Recent advances and emerging applications of the singular boundary method for large-scale and high-frequency computational acoustics

JP Li, ZJ Fu, Y Gu, QH Qin - Adv. Appl. Math. Mech, 2022 - researchgate.net
With the rapid development of computer technology, numerical simulation has become the
third scientific research tool besides theoretical analysis and experimental research. As the …

[PDF][PDF] Applications of the MLPG method in engineering & sciences: a review

J Sladek, P Stanak, ZD Han, V Sladek… - … Computer Modeling in …, 2013 - cdn.techscience.cn
A review is presented for analysis of problems in engineering & the sciences, with the use of
the meshless local Petrov-Galerkin (MLPG) method. The success of the meshless methods …

[HTML][HTML] A boundary-type meshless solver for transient heat conduction analysis of slender functionally graded materials with exponential variations

ZJ Fu, Q **, W Chen, AHD Cheng - Computers & Mathematics with …, 2018 - Elsevier
This study presents a parallel meshless solver for transient heat conduction analysis of
slender functionally graded materials (FGMs) with exponential variations. In the present …

[BOOK][B] Smoothed point interpolation methods: G space theory and weakened weak forms

GR Liu, G Zhang - 2013 - books.google.com
Based on the widely used finite element method (FEM) and the latest Meshfree methods, a
next generation of numerical method called Smoothed Point Interpolation Method (S-PIM) …

Fully coupled thermo-mechanical analysis of bi-directional FGM beams using NURBS isogeometric finite element approach

M Lezgy-Nazargah - Aerospace Science and Technology, 2015 - Elsevier
The fully coupled thermo-mechanical behavior of bi-directional functionally graded material
(FGM) beam structures is studied using a computationally low cost isogeometric finite …

[PDF][PDF] Analysis of 2D heat conduction in nonlinear functionally graded materials using a local semi-analytical meshless method

C Wang, F Wang, Y Gong - Aims Math, 2021 - researchgate.net
Analysis of 2D heat conduction in nonlinear functionally graded materials using a local semi-analytical
meshless method Page 1 AIMS Mathematics, 6(11): 12599–12618. DOI: 10.3934/math.2021726 …

[HTML][HTML] Nonlinear transient heat conduction analysis of functionally graded materials in the presence of heat sources using an improved meshless radial point …

A Khosravifard, MR Hematiyan, L Marin - Applied Mathematical Modelling, 2011 - Elsevier
An improved meshless radial point interpolation method, for the analysis of nonlinear
transient heat conduction problems is proposed. This method is implemented for the heat …

Analysis of three-dimensional heat conduction in functionally graded materials by using a hybrid numerical method

W Qu, CM Fan, Y Zhang - International Journal of Heat and Mass Transfer, 2019 - Elsevier
A hybrid numerical method is developed for three-dimensional (3D) heat conduction in
functionally graded materials (FGMs) by integrating the advantages of the generalized finite …

Heat Conduction and cracking of functionally graded materials using an FDEM-based thermo-mechanical coupling model

D Han, H Fan, C Yan, T Wang, Y Yang, S Ali, G Wang - Applied Sciences, 2022 - mdpi.com
In this paper, the steady-state and transient heat transfer processes of functionally graded
materials (FGMs) are analyzed using a coupled thermo-mechanical model in a GPU parallel …

A moving least square reproducing polynomial meshless method

R Salehi, M Dehghan - Applied Numerical Mathematics, 2013 - Elsevier
Interest in meshless methods has grown rapidly in recent years in solving boundary value
problems (BVPs) arising in science and engineering. In this paper, we present the moving …