@article {IOPORT.06021783, author = {Li, Xiao-Xiao and Guo, Heng Zhen and Wan, Shi Min and Yang, Fan}, title = {Inverse source identification by the modified regularization method on Poisson equation.}, year = {2012}, journal = {Journal of Applied Mathematics}, volume = {2012}, issn = {1110-757X}, pages = {Article ID 971952, 13 p.}, publisher = {Hindawi Publishing Corporation, New York, NY}, doi = {10.1155/2012/971952}, abstract = {Summary: This paper deals with an inverse problem for identifying an unknown source which depends only on one variable in two-dimensional Poisson equation, with the aid of an extra measurement at an internal point. Since this problem is ill-posed, we obtain the regularization solution by the modified regularization method. Furthermore, we obtain the H\"older-type error estimate between the regularization solution and the exact solution. The numerical results show that the proposed method is stable and the unknown source is recovered very well.}, identifier = {06021783}, }