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 - <p style="text-align: justify;">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.</p>