Excellence in Research and Innovation for Humanity

Ou Xie

Publications

1

Publications

1
892
Identifying an Unknown Source in the Poisson Equation by a Modified Tikhonov Regularization Method
Abstract:

In this paper, we consider the problem for identifying the unknown source in the Poisson equation. A modified Tikhonov regularization method is presented to deal with illposedness of the problem and error estimates are obtained with an a priori strategy and an a posteriori choice rule to find the regularization parameter. Numerical examples show that the proposed method is effective and stable.

Keywords:
Ill-posed problem, Unknown source, Poisson equation, Tikhonov regularization method, Discrepancy principle