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.