[PDF][PDF] Simulation of seismic wave scattering by embedded cavities in an elastic half-plane using the novel singular boundary method

J Lin, C Zhang, LL Sun, J Lu - Adv. Appl. Math. Mech, 2018 - global-sci.org
In the present study, a numerical procedure for analyzing the seismic response of the linear
elastic half-plane including buried cavities subjected to incident P and SV waves is …

A survey of applications of the MFS to inverse problems

A Karageorghis, D Lesnic, L Marin - Inverse Problems in Science …, 2011 - Taylor & Francis
The method of fundamental solutions (MFS) is a relatively new method for the numerical
solution of boundary value problems and initial/boundary value problems governed by …

[HTML][HTML] A meshless singular boundary method for transient heat conduction problems in layered materials

L Qiu, F Wang, J Lin - Computers & Mathematics with Applications, 2019 - Elsevier
The transient heat conduction problems in layered materials are common encountered in
practical application, but bring great challenge to most numerical algorithms. In this study …

Singular boundary method for steady-state heat conduction in three dimensional general anisotropic media

Y Gu, W Chen, XQ He - International Journal of Heat and Mass Transfer, 2012 - Elsevier
The singular boundary method (SBM) is a recent strong-form meshless boundary collocation
method. Like the method of fundamental solutions (MFS), the SBM uses the fundamental …

A meshless singular boundary method for three-dimensional inverse heat conduction problems in general anisotropic media

Y Gu, W Chen, C Zhang, X He - International Journal of Heat and Mass …, 2015 - Elsevier
The singular boundary method (SBM) is a relatively new meshless boundary collocation
method for the numerical solution of certain elliptic boundary value problems. The method …

[HTML][HTML] Simulating thin plate bending problems by a family of two-parameter homogenization functions

CS Liu, L Qiu, J Lin - Applied Mathematical Modelling, 2020 - Elsevier
This study develops a simple and effective numerical technique, which aims to accurately
and quickly address thin plate bending problems. Based on the given boundary conditions …

A domain decomposition method for the stable analysis of inverse nonlinear transient heat conduction problems

S Khajehpour, MR Hematiyan, L Marin - … Journal of Heat and Mass Transfer, 2013 - Elsevier
A method for solving nonlinear transient inverse heat conduction problems is presented. To
overcome the nonlinearity of the problem, not only the time domain is divided into several …

Literature survey of numerical heat transfer (2010–2011)

TM Shih, Y Zheng, M Arie, JC Zheng - Numerical Heat Transfer …, 2013 - Taylor & Francis
Here a comprehensive survey of the literature in the area of numerical heat transfer (NHT)
published in 2010 and 2011 has been conducted. Due to the immenseness of the literature …

Choice of the regularization parameter for the Cauchy problem for the Laplace equation

M Joachimiak - International Journal of Numerical Methods for Heat & …, 2020 - emerald.com
Purpose In this paper, the Cauchy-type problem for the Laplace equation was solved in the
rectangular domain with the use of the Chebyshev polynomials. The purpose of this paper is …

Quantitative identification of three-dimensional subsurface defect based on the fuzzy inference of thermal process

K Wang, G Wang, H Chen, S Wan, C Lv - International Journal of Heat and …, 2019 - Elsevier
Based on the inverse heat transfer methodology, the quantitative identification of three-
dimensional subsurface defect is studied by using the finite element method and fuzzy …