@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} }