A meshless method based on the method of fundamental solution for three-dimensional inverse heat conduction problems

被引：21

作者：

Sun, Yao ^{[1
]}

He, Songnian ^{[2
]}

机构：

[1] Civil Aviat Univ China, Coll Sci, Tianjin Key Lab Adv Signal Proc, Tianjin 300300, Peoples R China

[2] Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China

来源：

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2017年 / 108卷

关键词：

Inverse heat conduction problem; Regularization; Morozov discrepancy principle; SINGULAR BOUNDARY METHOD; POTENTIAL PROBLEMS; LAPLACE EQUATION; CAUCHY-PROBLEM; DEGENERATE SCALE; NUMERICAL EXPERIMENTS; ELLIPTIC-OPERATORS; STATIONARY FLOW; L-CURVE; MFS;

D O I：

10.1016/j.ijheatmasstransfer.2016.12.079

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

This paper documents a meshless method for the three-dimensional inverse heat conduction problems based on the method of fundamental solution (MFS). In order to overcome the ill-posedness of the corresponding problem, the Tikhonov regularization method, as well as Morozov's discrepancy principle for selecting an appropriate regularization parameter are used. Hence there is to produce a stable and accuracy numerical results. Then some examples are given to check the effectiveness of this method, whilst the sensitive analysis is given. The numerical convergence and stability of this method are also analyzed. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：945 / 960

页数：16

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