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

Authors
Mera, NS Elliott, L Ingham, DB Lesnic, D
Citation
Ns. Mera et al., An iterative boundary element method for solving the one-dimensional backward heat conduction problem, INT J HEAT, 44(10), 2001, pp. 1937-1946
Citations number
12
Categorie Soggetti
Mechanical Engineering
Journal title
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
ISSN journal
00179310 → ACNP
Volume
44
Issue
10
Year of publication
2001
Pages
1937 - 1946
Database
ISI
SICI code
0017-9310(200105)44:10<1937:AIBEMF>2.0.ZU;2-I
Abstract
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 usin g the boundary element method (BEM) in order to solve the backward heat con duction 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 bounda ry elements and decreasing the amount of noise added into the input data. ( C) 2001 Elsevier Science Ltd. All rights reserved.