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.