Function estimation with Alifanov’s iterative regularization method in linear and nonlinear heat conduction problems

Various aspects of a methodology to determine unknown functions representing source terms in inverse heat conduction problems are presented. The methodology is centered on gradient based iterative procedures for optimization problems and we consider specifically Landweber iteration and the conjugate...

Full description

Saved in:
Bibliographic Details
Published in:Applied mathematical modelling 2002-11, Vol.26 (11), p.1093-1111
Main Authors: Wang, Jiazheng, Silva Neto, Antônio J., Moura Neto, Francisco D., Su, Jian
Format: Article
Language:English
Subjects:
Adjoint problem
Conjugate gradient method
Function estimation
Inverse heat conduction problems
Landweber iteration
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Various aspects of a methodology to determine unknown functions representing source terms in inverse heat conduction problems are presented. The methodology is centered on gradient based iterative procedures for optimization problems and we consider specifically Landweber iteration and the conjugate gradient method. The formulation is given for inverse problems with both linear and nonlinear direct heat conduction problems. Test case results are presented and the performance of the estimation results of a nonlinear equation, using linear and nonlinear models, are compared.
ISSN:0307-904X
DOI:10.1016/S0307-904X(02)00083-5