A Trust Region Method for Solving Distributed Parameter Identification Problems

A Trust Region Method for Solving Distributed Parameter Identification Problems

Year:    2003

Author:    Yan-Fei Wang, Ya-Xiang Yuan

Journal of Computational Mathematics, Vol. 21 (2003), Iss. 6 : pp. 759–772

Abstract

This paper is concerned with the ill-posed problems of identifying a parameter in an elliptic equation which appears in many applications in science and industry. Its solution is obtained by applying trust region method to a nonlinear least squares error problem. Trust region method has long been a popular method for well-posed problems. This paper indicates that it is also suitable for ill-posed problems. Numerical experiment is given to compare the trust region method with the Tikhonov regularization method. It seems that the trust region method is more promising.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2003-JCM-10233

Journal of Computational Mathematics, Vol. 21 (2003), Iss. 6 : pp. 759–772

Published online:    2003-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Parameter identification Ill-posed problems Trust region.

Author Details

Yan-Fei Wang

Ya-Xiang Yuan