@Article{JCM-21-6, author = {Yan-Fei, Wang 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/2003-JCM-10233}, url = {https://global-sci.com/article/85372/a-trust-region-method-for-solving-distributed-parameter-identification-problems} }