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

页码：1937 / 1946

页数：10

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