An iterative boundary element method for solving the one-dimensional backward heat conduction problem

被引：102
|
作者：
Mera, NS [1 ]
Elliott, L [1 ]
Ingham, DB [1 ]
Lesnic, D [1 ]
机构：
[1] Univ Leeds, Dept Appl Math, Leeds LS2 9JT, W Yorkshire, England
来源：
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2001年 / 44卷 / 10期
关键词：
D O I：
10.1016/S0017-9310(00)00235-0
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
In this paper, the iterative algorithm proposed by V.A. Kozlov and V.G. Maz'ya [Leningrad Math. J. 5(1990) 1207- 1228] is numerically implemented using the boundary element method (BEM) in order to solve the backward heat conduction problem (BHCP). The convergence and the stability of the numerical method are investigated and a stopping criterion is proposed. The numerical results obtained confirm that the iterative BEM product s a convergent and stable numerical solution with respect to increasing the: number of boundary elements and decreasing the amount of noise added into the input data. (C) 2001 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：1937 / 1946
页数：10
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