An iterative algorithm for the backward heat conduction problem based on variable relaxation factors

被引：41

作者：

Jourhmane, M

Mera, NS ^{[1
]}

机构：

[1] Univ Leeds, Ctr Computat Fluid Dynam, Leeds LS2 9JT, W Yorkshire, England

[2] Univ Cadi Ayyad, Dept Appl Math & Informat, Beni Mellal, Morocco

来源：

INVERSE PROBLEMS IN ENGINEERING | 2002年 / 10卷 / 04期

关键词：

backward heat conduction; iterative algorithms; relaxation;

D O I：

10.1080/10682760290004320

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, an iterative algorithm is proposed for solving the backward heat conduction problem (BHCP). The algorithm is based on allowing variable relaxation factors for an iterative algorithm proposed by Kozlov and Maz'ya [1]. The convergence of the relaxation algorithm is analysed both theoretically and numerically. The boundary element method (BEM) is used to implement numerically the algorithm and to show that the ill-posed BHCP is regularized by using an appropriate stopping criterion.

引用

页码：293 / 308

页数：16

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