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Volume 21, Issue 6
A Trust Region Method for Solving Distributed Parameter Identification Problems

Yan-Fei Wang & Ya-Xiang Yuan

J. Comp. Math., 21 (2003), pp. 759-772.

Published online: 2003-12

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  • 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.

  • Keywords

Parameter identification, Ill-posed problems, Trust region.

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COPYRIGHT: © Global Science Press

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@Article{JCM-21-759, author = {Wang , Yan-Fei and Yuan , Ya-Xiang}, title = {A Trust Region Method for Solving Distributed Parameter Identification Problems}, journal = {Journal of Computational Mathematics}, year = {2003}, volume = {21}, number = {6}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10233.html} }
TY - JOUR T1 - A Trust Region Method for Solving Distributed Parameter Identification Problems AU - Wang , Yan-Fei AU - Yuan , Ya-Xiang JO - Journal of Computational Mathematics VL - 6 SP - 759 EP - 772 PY - 2003 DA - 2003/12 SN - 21 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10233.html KW - Parameter identification, Ill-posed problems, Trust region. AB -

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.

Wang , Yan-Fei and Yuan , Ya-Xiang. (2003). A Trust Region Method for Solving Distributed Parameter Identification Problems. Journal of Computational Mathematics. 21 (6). 759-772. doi:
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